Aurora 4x

VB6 Aurora => Aurora Chat => Topic started by: Vandermeer on February 26, 2015, 10:12:43 PM

Title: Studies: Volume to ship mass ratios
Post by: Vandermeer on February 26, 2015, 10:12:43 PM
In the past I have made several approaches towards trying to figure out how big Aurora ships actually are. Either I converted the ship mass coming from Aurora, or I took some given diameters from other sources, and tried to come up with mass. Nearly all these calculations were pretty ad-hoc though, except maybe for one time where I tried to find the actual thickness of armor (in cm) for certain ship sizes, as it mattered for calculating the radiation penetration.

However, I never sat down and really dealt with this core issue that was floating over the horizon, and that is to figure out a good estimate of a volume to mass ratio, so when you know either of the two, you can also pretty much know the other to some degree of accuracy. This matters a lot for me to know, but is obviously just a role playing issue where you would need it to fill your imagination, or maybe also sometimes if one wants to import ships from franchises that only give one or the other number.

So since Aurora is basically 100% inspired by naval warfare and their ships, I figured that I could just compare their volume and mass data, and did some research. The estimations I did in the past on this were always just based of a single design mostly (Nimitz aircraft carrier for example), rather than a greater comparison chart. This time I also tried to be as accurate as possible, as getting the volume can be quite a mystery for anything that is shaped rather organically such as ships.
The following chart has thus a good degree of error left that comes from that I had to basically guess how much space a certain design would fill if reduced to cuboid object. This was done by cutting down the width and height of any ship I had in a way so that you could imagine the "overflow" beyond that line to fit in exactly with the gaps that still were inside those new borders. Quick concept illustration (wouldn't agree on accuracy here):

(http://abload.de/img/uss-lka-114-durham-19ncjl9.jpg)



There are two substantial weaknesses resulting from this method.

1. Most notable is that the volume may vary quite a bit due to that I never had any data on the real height of any of the ships. This is because sea ships get measured only by their draught, so I only had the water line to work with. Since the ratio between this water line and the rest of the design was nearly never obvious, I had to pretty much guess the remaining height. To make the error source uniform at least, I went with exact factor 2 for the 'effective cuboid height', as this seems to match many ships, just like you can also see in the picture above. (..which I just randomly drew from the internet btw.)
I would like to think that any exception to this rule gets evened out by the amount of entries that I did, so the error vanishes in the mass to a good level. For any singular ship entry I would expect as much as +/- 25% volume error from this source alone though.

2. Figuring out volume to mass ratios in this way is ignorant of the difference that result from better conservation of volume the greater the ship is. For example, if you coat a 5km³ and a 40km³ ship with 30mm armor, the 40km³ won't weight 8 times as the 5km³ one anymore, because it doesn't have as much surface that needs to be covered with such armor in comparison to its total volume. So in short, you can expect larger ships to get higher V/M (volume to mass ratios), as mass should not grow as fast as the space it occupies.
I however found that this error is marginal for the naval ships at least, first because they do not differ in size too extremely, and second, well, the data actually shows the opposite: Small ships as corvettes seem pretty light for their dimensions, while battleships and carriers appear to be especially heavy. I could think that this is due to the fact that they increase armor disproportionally to make the larger and more expensive ships extra save and "not as expendable" as smaller ones, but I am really not sure what makes them so heavy. Maybe there is some hidden factor that causes this, and if you know it or have some idea, I would certainly like to hear this.

So here come the charts:

(http://abload.de/img/unbenannthrs82.jpg)
(http://abload.de/img/unbenannt2vss11.jpg)

Everything has a sub total to see the difference in design groups, but the grand total for the mass to volume factor is 4.57m³ per t of weight.

The ton by man ratio was not actually my objective here, and I just included it, well, because I looked at data anyway. It seemed unfair to me to throw it together, as it really is a part of design mission. However, I saw that most of the ships actually fell in a pretty unison line with this (only 2-3 extremes that didn't match), so I figured a total average could be made too as some sort of reference. It came out as 24.78 tons per man here; quite a bit more than you usually have in Aurora. (I always called Aurora ships overpopulated, and here is the evidence (http://www.greensmilies.com/smile/smiley_emoticons_langenase.gif). ~ This is not even counting the hypothetical extra equipment that water and oxygen refinement would need on an actual spaceship, as well as some extra redundancy in the support barren empty space)
Nothing against the amazing 5000 tons per man that you get in all Federation ships, or still somewhat high 290 tons per man that I found when taking apart the Warhammer 40k dictator cruiser.(and those are described as having extremely uncushy pressed military quarters which actually reduce morale --- I guess engines for star ships may add way more mass than they take on any conventional ship,... or the writers did not think this through as much :D)
Title: Re: Studies: Volume to ship mass ratios
Post by: Vandermeer on February 26, 2015, 10:28:22 PM
Screw that last part about the ton per man ratio though. I just followed an intuition, and yes, the ton by man ratios in Aurora actually just refer to the crew quarter space they need, not total size of course. Actual ton per man ratio is more towards 35-45, so that pretty much nails it I guess when considering the part about the needed extra equipment. Shame on me for never noticing this simple fact earlier.(no one ever called me out for it though too. :P)
Title: Re: Studies: Volume to ship mass ratios
Post by: TT on February 26, 2015, 10:55:54 PM
Maybe for your purposes it doesn't matter, but I feel compelled to point out that tonnage in naval warfare doesn't directly measure the mass of the vessel.  I believe tonnage refers to the amount of water the ship displaces when it floats.  I don't know if that is what Aurora's tonnage represents (and since the ships in Aurora don't float, I suspect that tonnage represents something different), but I don't think the tonnage represents ship mass.

Title: Re: Studies: Volume to ship mass ratios
Post by: Vandermeer on February 26, 2015, 11:17:51 PM
Oh, water displacement does actually directly represent the ship's mass. ;) The water that gets displaced is of course directly proportional to the real mass that the ship has.(why would it be any different?) In some way you could say that the sea water is nothing but a large scale on which you drop the ship. Each cubic meter of water that has to yield is now exactly equal to one ton weight of the ship.(now, if you talk about different densities of water, there will be a slight offset maybe, but I think that is a slim percentile error, and I doubt the officially stated values didn't take that into account too)

I know why you confused this though, because when an object is completely submerged into water (such as sinking objects with higher density than water), it of course only displaces an amount equal to its own volume, so there is no way of knowing the mass just from this. However, ships have a lesser density than water, causing them to be a floating object of course, and those only sink in to a percentile that is their density compared to the water density. A direct weight scale.
Title: Re: Studies: Volume to ship mass ratios
Post by: TT on February 26, 2015, 11:57:04 PM
I stand corrected.  After reading your response I looked into this and you are correct.  Naval tonnage represents the water displaced, which is the actual weight of the ship.  Thank you for making me a little smarter tonight.
Title: Re: Studies: Volume to ship mass ratios
Post by: MarcAFK on February 26, 2015, 11:57:43 PM
Naval vessels haven't been heavily armoured since the end of world war two, I think at the moment you see some quantity of soft flack/shrapnel armour around the bridge and important areas like fire control for weapons, and ammunition storage is heavily armoured between itself to prevent ammunition explosion taking down a whole ship, but for the most part armour isn't a significant part of a modern ships weight. This affects any comparison between modern navy's and Aurora since armour is effective in aurora, and for the most part is a significant fraction. 
Also a quick calculation using your density ratio shows a 50 ton object to be roughly a 6 meter cube.
Title: Re: Studies: Volume to ship mass ratios
Post by: Vandermeer on February 27, 2015, 01:17:15 AM
I stand corrected.  After reading your response I looked into this and you are correct.  Naval tonnage represents the water displaced, which is the actual weight of the ship.  Thank you for making me a little smarter tonight.
Glad to be of service. :)


@Marc: If it isn't armor, then I really wonder what else it could be. Maybe a larger fuel storage, or the ratio of needed corridors becomes more efficient? It really sticks out that this appears so broadly over all larger ships with no real exception.
Good point that with the armor offsetting quite a bit in Aurora. I think I will try to figure out a correction factor for this later on. Hmm, for this I need to find the data of armor for those ships, and then to this mass-cover calculation in Aurora again.(http://www.greensmilies.com/smile/smiley_emoticons_gruebel.gif) Luckily Aurora directly referenced total armor weight. If the difference is too high, then I think I can derive a correction for each ship.

The 50t=6³m³, yes, that is real. Looks good I think. Oh, did we just figure out what 1HS is? :O
Only problem I see is with fighters, where it might need a separate comparison.(one quick calculation showed a ratio there to be more in the 10-11 area) However, that is for our worldly fighters of 20-40 tons, and not those 500t Aurora behemoths. There were quite small corvettes in this chart, who went down to 650t and were still in line with the rest of the data pretty much, so the corvette sub-ratio might just work out here as well.
Title: Re: Studies: Volume to ship mass ratios
Post by: MarcAFK on February 27, 2015, 07:03:50 AM
Another interesting thing I just discovered, during the cold war it became standard for most of an American warships's structure to be aluminium, lighter equals faster which is a more useful defence against missiles, also it makes them cheaper to build and run, however after the 1975 collision of the USS Belknap with the carrier John F. Kennedy the subsequent structural damage caused future designs to use more steel. Also the structural aluminium itself burning during the extreme heat of the fire might have been a contributing factor.

Actually looking at your chart it strikes me that the more modern ships have a much higher volume to mass, while the most heavily armoured Bismark and Yamamoto are the densest. Except for carriers which are an anomaly, I would be cautious however as your estimation method probably fails on carriers due to the extreme overhang of the flight deck combined with the unusual dimensions. Even though flight decks are usually well armoured it may not be significant because : "Since USS Theodore Roosevelt, the carriers have been constructed with 2.5 in (64 mm) Kevlar armor over vital spaces, and earlier ships have been retrofitted with it".  Kevlar cloth alone weighs something like 14g per sqm for .2 mm. so that's 4.5 kg ler square meter, if the flight deck was armoured this way (I'm not suggesting it is) that alone would be only 82 tons for 4.5 acres of deck. Overall I think even if the whole ship was armoured this way it would be a drop in the bucket for a 100,000 ton ship.
Edited because I contradicted myself somewhat.
Title: Re: Studies: Volume to ship mass ratios
Post by: Vandermeer on February 27, 2015, 05:30:30 PM
If figure this mass growth has to do with larger fuel reserves. Large ships are often considered as a supplier for fleets, so you would have to have extra stashes to not draw from original range. Is just hypothesis though.

With the carriers and flight deck: I did consider this already. What I did was to take 1/3rd of the difference between waterline and flight deck here as some sort of corrected width, and then reduce this new number as a factor. For a quick example, with the Nimitz I took (76m flight deck - 41m waterline)/3 + waterline = ~53m corrected width.
So this is already in the numbers for the carriers above, but it is admittedly quite random of a correction, and even more so after feeling rather than real measurement. Still better than just taking the oversized flight deck for a scale, which would have meant all those carrier numbers needed to be much smaller. Now it is only extra +/-20% error that can ease out in the average a little.
Title: Re: Studies: Volume to ship mass ratios
Post by: Vandermeer on April 22, 2015, 04:39:52 PM
So I have been coming back to this, and am now considering the armor thing. For this to work I have to figure out how much armor weights in Aurora for certain sizes, and then pretty much exclude that, or come up with table of corrections depending on tech level.
The "problem" here is that Aurora is commendably realistic in how it calculates the armor coverage, as it includes the law of mass conservation becoming more effective on bigger objects, which leads to increasingly lighter armor despite same protection(/thickness).

In case it is unclear what this is about, here is an illustration which should explain it:
(http://abload.de/img/stainless-cube01_10248epg2.jpg)

I never knew if this really worked this way for sure so far in Aurora. I only realized that armor seemed to become lighter and lighter percentage wise the larger the ship grew, so this reminded me of this law of course. Before applying any correction to the bigger ship list above, this had to be proven, so I made some tests and this table:

(http://abload.de/img/unbenannti3ppx.jpg)

To explain a bit - I first made a ship of basic components until it reached the round number mark you see in the first column (1k,2k, etc.), and then recorded the armor that built on top of it.(which is conventional armor btw.) The mass you see in the other 5 columns thus is added to that as the 'mass of the armor' covering the hull. For example a 7k hull with 3 armor layers actually weights 10130t.
Then, the first column was obviously tricky to get here for the area information, as there is no 0 armor, but it was possible by simply creating designs of that size which already included 1 armor instead.(for example a 1k maybe included 220t armor already) It turned out that this lead to the exact same numbers, already hinting that there was a noble streamlined sizing rule governing Aurora's calculations. :)

It worked out well, as it indeed proves that Aurora uses the law above. For a quick direct example you can see that the 24k sized ship, which is exactly of 2 times the dimensions (=x8 mass) as the 3k sized one, has exactly 4 times the area, and thus exactly 4 times the armor weight.(which you cannot see in the first column though) Another close coming example is 1 layer 7k (7885 t) against 1 layer 60k (63545 t), which also nearly has this x8 mass difference, and the armor clearly also nearly weights 4 times as much.
Of course I made exact calculations to test this through. For that you have to use this formula:

(http://abload.de/img/baseequ85pzd.gif)

(http://abload.de/img/codecogseqn1wumn.gif)

Except of around +-0.2 errors from the rounding Aurora does, it is indeed accurate in all cases. So that worked.?

Next step is generating an excel column to the chart of the first post to see how much mass-% of any of those ships would in Aurora actually be armor (on standard 1 layer designs of course). Steel density then leads to a correction factor for every design, and hopefully a rule appears, so life is easier. Didn't get to it today though.
..And I still have no idea what causes the bigger ships from the chart in the first post be so much heavier. Marc said there is near to no armor on recent ships anymore, so maybe this effect does simply not appear, and the tendency to include more fuel on larger ships is what increases the density slowly. ..But again, still no proof.
Title: Re: Studies: Volume to ship mass ratios
Post by: MarcAFK on April 23, 2015, 03:18:06 AM
I'm thinking that it's probably due to automation leading to denser more efficient use of space, as well as a conscious design effort to reduce cross section which improves top speed and fuel efficiency.
I love the effort that went to the chart and the diagram is excellent for getting such a simple concept across for a casual like myself.
Edit: wait, I had that backwards, modern ships are less dense so I'll completely ignore how wrong I was and instead suggest modern ships are built significantly more cheaply, lighter grade metal across the board, more plastics and composites etc. Even ignoring the actuall hull most individual components that goes into a ship would be significantly lighter now than it was back in the 40's.
For comparison.
As a counter example I present the 5 inch mark 45 naval gun which is a standard part of American destroyers and cruisers.
The 80's era mark 2 weighed in at 21,691 kg while the slightly more capable year 2000 model mark 4 is a hefty 28,924 kg .
Computers and environmental systems are presumably lighter now, but theres probably a lot of variables I'm not qualified to estimate about.
Since WW2 guns have used smokeless powder which has significantly different properties than gunpowder, assuming a new shell must produce similar pressure than an older one in order to be used in the same gun barrel than using powder with 2-3 times the energy density might allow a lighter propellant weight, this might be offset by adding something that causes a slower burn rate which would lower the extreme initial pressure but allow greater muzzle velocity. So shells and missiles 'might' be lighter, but once again I can't really find much supporting data, best would be to find the weight of actual ship systems.
This chart of powder densities is pretty handy for my heavily modded Kerbal Space Program though.
(http://www.astronautix.com/graphics/i/ispsolid.gif)
Also I realise that specific impulse is not 100% energy density, but it's generally a pretty close approximation.
Title: Re: Studies: Volume to ship mass ratios
Post by: Paul M on April 23, 2015, 04:49:42 AM
Just keep in mind that a naval ship must float.  This means it must have a final density that is less than water.  A spacecraft does not need to float, but (obviously not in aurora) needs to consider that the acceleration it can achieve (which determines its velocity) is limited by being the Force applied divided by the mass of the ship...where mass is volume*density.

Also modern ships are again built with armour in mind...the previous mistake was corrected after the falklands war when the discovered that a missile hit does not spell the doom of the ship but having the ship catch fire due to the aluminum structure igniting does.  Modern ships are also slower than WW2 ships stupidly enough, but I suspect that is more because you compare a modern DD to a WW2 DD and you should more reasonably compare it to a WW2 CA or CL.  Also naval speeds has far less to do with the mass of the ship anyway and more to do with the limits imposed by fluid dynamics.

As a first guess Aurora ships size is determined primarily by the volume needed for the crew space.  Work stations, maintenance spaces, walk ways, mess halls, kitchens, medical facilities, sleeping areas and toilets probably define the volume of most of the ship.  Missile magazines, cargo, fuel, hangers spaces probably are the other major volume components.  These are also the "low density" components of the ship being largely air.  After that you have the various plants and things like beam weapons which are mass intensive but volumetrically small.

Also a cargo ship might be just a spar with a small-ish crew volume and mostly just empty space one attached containers to.

To determine an average size of an aurora ship you first need to know the approximate density of any particular component and that defines the volume it occupies if you accept the mass as a given.  Or you need to know its approixmate volume (if you figure that is correct) and then knowing the density you find the ships final mass. 
Title: Re: Studies: Volume to ship mass ratios
Post by: Vandermeer on April 23, 2015, 01:00:02 PM
Also modern ships are again built with armour in mind...the previous mistake was corrected after the falklands war when the discovered that a missile hit does not spell the doom of the ship but having the ship catch fire due to the aluminum structure igniting does. Modern ships are also slower than WW2 ships stupidly enough, but I suspect that is more because you compare a modern DD to a WW2 DD and you should more reasonably compare it to a WW2 CA or CL.
Hmm, conflicting information. When I tried to find data on not only the ships above, but also further other destroyers and frigates, I could never find any information about any armor, despite for the WW2 battleships, and of course the Nimitz. I thought that was due to that they indeed do not care about armor anymore. You don't happen to know any source for ship data that goes beyond wikis and the ~top 20 google results where I drew from?

I'm thinking that it's probably due to automation leading to denser more efficient use of space, as well as a conscious design effort to reduce cross section which improves top speed and fuel efficiency.
I love the effort that went to the chart and the diagram is excellent for getting such a simple concept across for a casual like myself.
Edit: wait, I had that backwards, modern ships are less dense so I'll completely ignore how wrong I was and instead suggest modern ships are built significantly more cheaply, lighter grade metal across the board, more plastics and composites etc. Even ignoring the actual hull most individual components that goes into a ship would be significantly lighter now than it was back in the 40's.
Quote
Just keep in mind that a naval ship must float.  This means it must have a final density that is less than water.  A spacecraft does not need to float, but (obviously not in aurora) needs to consider that the acceleration it can achieve (which determines its velocity) is limited by being the Force applied divided by the mass of the ship...where mass is volume*density.
Thanks to trans-dimensional Cthulhu magic, Aurora ships don't accelerate though. :) However, needing not to care about mass at all when it comes to "acceleration" makes the other point about space ships being able to afford to be more dense even more prominent. This would indeed mean that (Aurora) space ships could be smaller than the naval drawn average V/M ratio would suggest, but I think first that it only appears to some degree, as modern ships are still already mostly made out of metals, so the amount you can add to that shouldn't be too groundbreaking unless you start to intentionally include lead for randomness' sake. Then secondly I would argue that the direct comparison of Aurora and Naval ships stands very strongly, as it seems to come up with the same data on given ships masses, namely for example the crew count, which after further lookups turned out to be pretty much parallel. Since a more dense ship should be smaller, this would normally result in Aurora ships then having lesser crews on same sizes, but they actually even got a bit more. This strongly suggests similar built.
It doesn't dispel the point completely though, and I agree that it may be wise to consider the V/M ratio as a mere upper limit, where normally all ships should be a bit smaller, and a bit denser than that.

Quote
As a first guess Aurora ships size is determined primarily by the volume needed for the crew space.  Work stations, maintenance spaces, walk ways, mess halls, kitchens, medical facilities, sleeping areas and toilets probably define the volume of most of the ship.  Missile magazines, cargo, fuel, hangers spaces probably are the other major volume components.  These are also the "low density" components of the ship being largely air.  After that you have the various plants and things like beam weapons which are mass intensive but volumetrically small.
I don't quite know what you mean with "Aurora ship sizes suggest volume needed for crew space". The only thing that determines crew are exactly the components that require them, so a mere tanker for example has very little of that, as tanks run without technicians, and complex war ships with military grade engines need a relatively high ratio.
Then also the volume needed for the crew space is definitely not primary part on Aurora ships, though I also agree it should be in reality and for flavor's sake. Crew quarters in Aurora presumably already include all that medical, supply storage, oxygen refinement, etc.etc. space, but still on my current destroyers (20k ships with 6 month deployment time) this only accounts for about 4.3%, and 9.6% if you count in engineering spaces. A long range 300k cruiser (3 years deployment) comes to 19.7% in combination, but that is still not the most prominent part.

Quote
Also a cargo ship might be just a spar with a small-ish crew volume and mostly just empty space one attached containers to.
I am pretty sure it is legal to assume the cargo ships as being as big as if those cargo bays were full, because at some point they are, and this space will be needed. If anything, I would argue in the opposite direction, that cargo ships might even be bigger, because cargo space here is not given in volume, like it should be on a space ship, so you could fill that available space with super heavy neutronium that would weight way more than a standard cargo container assumes to make place for.
Counter argument could be that mass still matters for jump ships and detection though, so that may be why there is a "loading limit" in any case. Kind of shady, but can be accepted under suspension of disbelieve I guess.

Quote
To determine an average size of an aurora ship you first need to know the approximate density of any particular component and that defines the volume it occupies if you accept the mass as a given.  Or you need to know its approximate volume (if you figure that is correct) and then knowing the density you find the ships final mass. 
Again, since the naval comparison fits so tight with Aurora as it does, I think it is reasonable to at least consider this average ratio to be a good guide. A grand average through all components is just good enough then, so even if it was possible, I think calculation per component wouldn't really improve much on that.
Title: Re: Studies: Volume to ship mass ratios
Post by: sloanjh on April 24, 2015, 06:19:40 AM
Hmm, conflicting information. When I tried to find data on not only the ships above, but also further other destroyers and frigates, I could never find any information about any armor, despite for the WW2 battleships, and of course the Nimitz. I thought that was due to that they indeed do not care about armor anymore.

I think there are two things here getting a little comingled.  My understanding/recollection is (no references):

1)  What is the structural metal above the waterline?  WWII was steel.  Post-WWII, aluminum was used to reduce top-weight (improving stability/allowing more weapons and sensors higher up).  Belknap collision pointed out this is a bad idea with respect to fires, at which point USN started going back to steel.  On the other hand, I was talking to a shipyard guy a couple of weeks ago at a conference, and he told me that they've gone back to aluminum for the new LCS designs.

2)  Armor.  In WWII, entire external hull was heavily armored.  Post-WWII, that changed to internal armor (some of it Kevlar) on critical compartments, e.g. magazines and/or engines. 

John
Title: Re: Studies: Volume to ship mass ratios
Post by: Vandermeer on April 24, 2015, 04:57:12 PM
2)  Armor.  In WWII, entire external hull was heavily armored.  Post-WWII, that changed to internal armor (some of it Kevlar) on critical compartments, e.g. magazines and/or engines.
With the internal armor, do you mean just the practice of building in a bulkhead compartment scheme? I read that became modern relatively late in western war ships, despite chinese ships employing this with wood since ancient times. In that case this shouldn't change too much, because it is more about floodgates and structural integrity other than actually stopping blasts.
If not, and there ware serious walls of armor internally, then how much are we speaking about? Is it comparable to the former outside armor just being scrapped and re-erected inside?

---
Anyway, for now I have completed the adjustment that basically still assumes that the outer shell of modern ships has no armor thicker than any other structural steel wall in the ship. This table came out:

(http://abload.de/img/unbenanntfhsud.jpg)

It was done by figuring out what Aurora ships would have as armor on the given mass, which is luckily easily doable thanks to the uniform calculation rule from before. Then I just reduced the Volume by the percentage that this armor would take away from the original ship's mass, and added the Volume that this mass would fill as steel armor (assuming 8 tons/m³ here), which is of course something less than what was subtracted due to the higher density, so the final volume comes out smaller. It fulfills this formula:
(http://abload.de/img/rho7yjyh.gif)


There was also some mistake on the previous sum up that I detected in the excel file, so the former V/M rate was actually 4.49 instead of 4.57, and the crew suffered the same error.
Including also the new correction factor now, it comes out to this:
(http://abload.de/img/unbenann3t7jsf7.jpg)

However, the average says not much in this case, as it is obvious that the impact of this correction weights a lot stronger on smaller ships again, while the big carriers only suffer a small raise in density. Also, this chart is of course only based on basic 1-layer designs, and will shift dramatically as even more armor is added. Without a mathematical rule, there will be no clear prediction, as the corrected V/M depends on layer count and technology.
I feel like the rule behind this should be relatively easy though, but I cannot put the finger on it yet. One very interesting thing I found out though from the chart of the former post, is that Aurora (conventional) armor weights exactly 6.25t per "area", whatever that area unit is. If it was square-meter (it isn't..), then the armor would be amazing 78 centimeters thick with just one layer! (again assuming 8 tons/m³ steel density) But I am pretty sure a ship of 7kt and approximately 25km³ would have more outside area than just 130m². Just calculated: even a sphere has 4135m² for this volume, and a sphere is the best mass conserving form in existence.

So how to figure out what this area unit means? I have the feeling that this will be essential for an answer. With the sphere there is at least a lower limit, giving that "1 area" in Aurora is at minimum 32,33m², which gives a top maximum armor thickness of 2,4cm per layer. Less than 2 in cube shape, and ever down with rising complexity.
...That is not much, honestly. That makes me question if the exclusion of armor weight was really justified. I think even standard hulls should have 1cm steel at least, right?
...Maybe this problem solves itself, and I have not to come up with a correction at all, as the naval ships are actually accurate? If I use the original ~27920m³ of the Sachsen frigate, it comes to 4450.7m² as sphere, and thus minimum 34.77m² per area, resulting in maximum thickness of 2.25cm, and 1.8 as cube.
V/M=4.5 confirmed or not?
Title: Re: Studies: Volume to ship mass ratios
Post by: Rod-Serling on April 24, 2015, 07:59:46 PM
Interesting thread. I just want to point out that Carriers also have huge internal hangar bays that distort their density.

For example, the USS Harry S Truman has 3 internal hangar bays, here's a picture of one of them.

(http://media.hamptonroads.com/cache/images/904261000.jpg)
(http://bloximages.chicago2.vip.townnews.com/norfolknavyflagship.com/content/tncms/assets/v3/editorial/e/63/e63ef4b2-4507-11e0-aa2f-001cc4c002e0/4d6ea22954a41.image.jpg)

Title: Re: Studies: Volume to ship mass ratios
Post by: sloanjh on April 25, 2015, 12:22:24 AM
With the internal armor, do you mean just the practice of building in a bulkhead compartment scheme? I read that became modern relatively late in western war ships, despite chinese ships employing this with wood since ancient times. In that case this shouldn't change too much, because it is more about floodgates and structural integrity other than actually stopping blasts.
If not, and there ware serious walls of armor internally, then how much are we speaking about? Is it comparable to the former outside armor just being scrapped and re-erected inside?

No not just addition of bulkheads.  On thickness, my understanding is that the walls are thicker around sensitive compartments, but not e.g. 18 inches of steel.

I googled for "naval Kevlar armor" and picked up an excerpt from "The Naval Institute Guide to the Ships and Aircraft of the U.S. Fleet" by Normal Polmar talking about Arleigh Burke class DDGs.  He says they're the first pos-WWII US destroyers with steel superstructures (due to Belknap and NOT due to Sheffield's loss in Falklands) and that they have "130 tons of Kevlar armor plating to protect vital spaces".

My recollection is that it's to help protect against fragmentation damage after a bomb's exploded (outside the compartment), rather than trying to keep a bomb from entering a compartment altogether.

I think I also remember a story about one of the frigates in the Falklands campaign having a gravity bomb pass entirely through the stern of the ship without exploding.  My recollection is that it was thought that the fuse didn't have enough time to arm due to the pilot dropping too close.  I also have a vague recollection that something was said about if the ship had been more heavily armored it would have been a problem because the bomb wouldn't have just punched through.  This might have been in the British admiral's (Sandy Woodward) book "100 Days".  Don't give high confidence to this bit - it's really very vague recollections.

John
Title: Re: Studies: Volume to ship mass ratios
Post by: Paul M on April 27, 2015, 10:15:48 AM
The comment on armour comes from a book on modern naval tactics...have to look up the proper name and author later.  Basically in the 60s the assumption was that any ship hit by a missile would sink, so they didn't build ships to suvive what was considered unsurvivable in the first place, but then after seeing it was not so went back to making survivability (or armour) a factor of the design.  They use modern armour (kevlar and composits) and don't armour the ship as if against shells since that isn't the threat so they lack an armour belt but rather have armoured compartments and so forth.  Also missiles use HE warheads rather than AP ones (outside of the KE of the missile) so that is also different.

As for a bomb going through a ship and exploding...uhm...well lets just say that is bad.  It can break the back of the ship in question depending on the size of the explosion and so on.   But that was also true of WW2 tin cans.  They were also largely unarmoured.   Only DDs in WW2 were largely expendable...modern ships cost too much to catagorize them as expendable.

When I say that the crew spaces define the volume I mean just that.  People take space, much more space then wiring or solid engines.  You need a central corridor of some sort from bow to stern to allow movement of the crew.  On a surface ship that is called the top deck and it is not enclosed so it isn't an issue.  In a space ship you need to enclose it...that means a 2.5 m high, 2.5 m wide and x m long square corridor.  Each person needs a bunk, space to eat, space to void by products of eating, life support systems to keep them alive and all the rest.  If you look a modern submarine you see that a lot of the internal space is occupied by "space" for crews.  If my memory of the Polaris class submarine I built as a teen ager is accurate about 20-30% of the internal volume was space for people to live or work.  And a space craft has a lot more need for things like food storage, air storage, air processing and water processing facilities to keep its crew alive.  This is volume intensive (but not particularily mass intensive) so probably in my view defines the volume of the ship.  This has nothing to do with the rules, which are just some numbers Steve threw together from whatever.

My comment on mass in a surface ship is simple.  Surface ships are designed on the basis of fairly complex hydronamic factors determined by the speed you wish to achieve and the overall mass of the ship in question plus a host of other considerations.  Warships are built around their turrets in WW2 terms as well.  These in general defines beam, speed desired defines length compared to beam etc  BUT the ship has to float that means a density of less than 1.  So the trick is to expand the volume occupied by things to reduce the density.  So a turbine power plant which is massive is set into a large mostly empty room.  In a space ship the large massive engine is set into a room that is just big enough to support maintenance and has no requirement to be big enough to reduce the density of the ship to something that is accepable from a "not floating like a brick" point of view.  Surface ships are limited by that constraint in terms of their mass...space ships are not.  This means the density of a space ship will tend to be high in most cases where the density of a surface ship has to be low or else the damn thing plays brick.  It is not really believable that a space ship would have a density of 1 or less.  If you want to use a ship to compare to...use a submarine as they are closer to a space ship in terms of constraints then a surface ship.  Also they are largely just a cylinder so you get better their dimensions with simple mathematics.

I unfortunately do not have any naval references, my friend who is at the moment well nigh unreachable by email has such things.  He is the naval nut...I'm more into ground or air stuff. 
Title: Re: Studies: Volume to ship mass ratios
Post by: Rod-Serling on April 27, 2015, 05:38:07 PM
Quote
You need a central corridor of some sort from bow to stern to allow movement of the crew.  On a surface ship that is called the top deck and it is not enclosed so it isn't an issue.

No. People need to be able to get from their berthing to the mess decks and to the shop even during a hurricane or when we're launching tomahawk missiles. Central (enclosed) corridors are required for all ships.
Title: Re: Studies: Volume to ship mass ratios
Post by: MarcAFK on April 28, 2015, 12:41:24 AM
Can't they just use the Jeffries tubes?
Title: Re: Studies: Volume to ship mass ratios
Post by: Ostia on April 28, 2015, 05:03:33 AM
Can't they just use the Jeffries tubes?

Jefferies tube (Memory Alpha spelling) are maintenance access points. people only crawl through those when the the more convenient turbo lifts are down or they are going SpecOps. And remember those are one-man crawl spaces. not wide corridors, so you are slow as hell when using them.
Title: Re: Studies: Volume to ship mass ratios
Post by: MarcAFK on April 28, 2015, 06:29:46 AM
Exactly, when crew need to perform routine maintenance such as fulfilling their nutritional requirements they take a Jefferies pneumatic tube down to the feeding nipple organ.
Title: Re: Studies: Volume to ship mass ratios
Post by: boggo2300 on April 28, 2015, 04:34:12 PM
Jefferies tube (Memory Alpha spelling)

That's the spelling,  this is why

The term "Jefferies tube" was originally an inside joke among the original Star Trek production staff, a reference to Original Series art director Matt Jefferies.

Just be thankful it was a TOS invention, otherwise it'd be something like the Okuda Orifice!
Title: Re: Studies: Volume to ship mass ratios
Post by: Haji on April 28, 2015, 07:50:39 PM
As the thread is rather long, I only skimmed it. However it seems that very little has been said over whether or not comparison to naval ships even makes sense. As such here are my thoughts on that part.

First and foremost ships in Aurora are made in large part (or even in majority) of TN elements, which can be as dense as you please. As such you can easily use this to justify whether volume to mass ratio you want.
Second, both mass and size impacts how a ship maneuvers. Also the larger the ship the more armor you need. Ergo it would stand to reason that ships would be made as small as possible.
Third Aurora ships usually dedicate twenty to thirty percent of it's tonnage to engines, which seems to include power generation. Depending on technology used those can be very dense (nuclear reactor) or just the opposite if they are fusion reactors with large, open, central chamber where the reaction is going on. That will hugely impact the volume to mass ratio, as said engines are likely to be a mess of heavy machinery with little to no open spaces. Fusion reactors may be an exception, but it really depends on the design used.
And last but not least, in real life mass is a very important consideration when launching stuff into space. In addition Aurora takes place in the future (usually) where very strong but light materials may be available, like carbon nanotubes for example. Those may completely replace current materials used, making ships strong but light.

Overall considering the differences in building priorities (large engines) and the differences of materials (TN elements, futuristic alloys) I don't really think using naval ships as a basis has any use. Overall I'd say, at a hunch, that any space warship, especially one made from TN elements, would be much more heavy for a given volume than any sea going vessel.
Title: Re: Studies: Volume to ship mass ratios
Post by: Vandermeer on April 29, 2015, 11:51:28 PM
Interesting thread. I just want to point out that Carriers also have huge internal hangar bays that distort their density.

For example, the USS Harry S Truman has 3 internal hangar bays, here's a picture of one of them.
It doesn't matter for the values that have been determined, as the volume and consequent calculation of density already span over those internal hangars. It might be a point that it could be unfair to include carriers into the calculation of the average V/M, as ships with such large empty internal areas might water down this ratio. Yet, as baffling as it is, these carriers turned out to even have greater density than the other ships for some reason. ...Maybe because their volume calculation was more tricky and a lot more eye-judgement based. I took them out of the calculation though to test how it would impact the average V/M, and the difference is negligible. Might as well keep them enlisted. :)

No not just addition of bulkheads.  On thickness, my understanding is that the walls are thicker around sensitive compartments, but not e.g. 18 inches of steel.

I googled for "naval Kevlar armor" and picked up an excerpt from "The Naval Institute Guide to the Ships and Aircraft of the U.S. Fleet" by Normal Polmar talking about Arleigh Burke class DDGs.  He says they're the first pos-WWII US destroyers with steel superstructures (due to Belknap and NOT due to Sheffield's loss in Falklands) and that they have "130 tons of Kevlar armor plating to protect vital spaces".

My recollection is that it's to help protect against fragmentation damage after a bomb's exploded (outside the compartment), rather than trying to keep a bomb from entering a compartment altogether.
130 tons sounds reasonable, especially for Kevlar. Would that have been steel, we would already deal with nearly 800 tons. Well, I guess I will scrap that idea with the armor weight correction. Of course this will still impact as soon as multiple layers are added, but the starting point seems now equal in weight to me.

When I say that the crew spaces define the volume I mean just that.  People take space, much more space then wiring or solid engines.  You need a central corridor of some sort from bow to stern to allow movement of the crew.  On a surface ship that is called the top deck and it is not enclosed so it isn't an issue.  In a space ship you need to enclose it...that means a 2.5 m high, 2.5 m wide and x m long square corridor.  Each person needs a bunk, space to eat, space to void by products of eating, life support systems to keep them alive and all the rest.  If you look a modern submarine you see that a lot of the internal space is occupied by "space" for crews.  If my memory of the Polaris class submarine I built as a teen ager is accurate about 20-30% of the internal volume was space for people to live or work.  And a space craft has a lot more need for things like food storage, air storage, air processing and water processing facilities to keep its crew alive.  This is volume intensive (but not particularily mass intensive) so probably in my view defines the volume of the ship.  This has nothing to do with the rules, which are just some numbers Steve threw together from whatever.

My comment on mass in a surface ship is simple.  Surface ships are designed on the basis of fairly complex hydronamic factors determined by the speed you wish to achieve and the overall mass of the ship in question plus a host of other considerations.  Warships are built around their turrets in WW2 terms as well.  These in general defines beam, speed desired defines length compared to beam etc  BUT the ship has to float that means a density of less than 1.  So the trick is to expand the volume occupied by things to reduce the density.  So a turbine power plant which is massive is set into a large mostly empty room.  In a space ship the large massive engine is set into a room that is just big enough to support maintenance and has no requirement to be big enough to reduce the density of the ship to something that is accepable from a "not floating like a brick" point of view.  Surface ships are limited by that constraint in terms of their mass...space ships are not.  This means the density of a space ship will tend to be high in most cases where the density of a surface ship has to be low or else the damn thing plays brick.  It is not really believable that a space ship would have a density of 1 or less.  If you want to use a ship to compare to...use a submarine as they are closer to a space ship in terms of constraints then a surface ship.  Also they are largely just a cylinder so you get better their dimensions with simple mathematics.
Those are good reasons, and they pull in both directions. 1. Spaceships should be more dense because there is no reason to have extra empty halls for floating purposes. And 2., Spaceships should be less dense, because extended requirements of survival support is far greater in space, hence inflating "crew quarter".
The first point could have a weakness though I think, because as it can be seen on the table, density of ships is already between 0.2-0.3 t/m³, so far below that of water in any case. However, I know nothing about hydrodynamics, so maybe it is actually needed to stay in that region already, or maybe the shape dictates more than density at some point too.

Anyway, again, the reason why I stay close to the naval ships in the first place, is because those ships that Aurora generates come out with specs close to the naval ones. If the crew numbers add up for the same tonnage, then the designs can't be too different in structure. Plus it is very suspicious that the Aurora ships on top of that follow the same tonnage sizing doctrine as the naval ones, with destroyers between 5-8k, and cruisers twice to three times that.
I will provide some test designs lower that show the crew thing a bit.

First and foremost ships in Aurora are made in large part (or even in majority) of TN elements, which can be as dense as you please. As such you can easily use this to justify whether volume to mass ratio you want.
Hmm, "large parts" is definitely stretching it.
Some examples I can bring:
- TL1 7k destroyer(from below), 500t TN minerals,
- TL1 24k cruiser, ~2k TN
- TL1 100k carrier, 11k TN
- TL7 20k destroyer, 5k TN
- TL7 300k cruiser, 50k TN

Obviously the ratio increases with rising technology, but still it never makes up the majority of elements. Sure, even that smaller ratio could be so inflated or dense that it seriously skews any numbers, but...
Quote
Second, both mass and size impacts how a ship maneuvers. Also the larger the ship the more armor you need. Ergo it would stand to reason that ships would be made as small as possible.
We had that before. Simply said: No, mass does in Aurora not affect maneuvering at all. The ancient TN magic excavated from sunken R'lyeh ensures that any ship or fighter can in a mere 5 second interval turn 180° and reach astonishing full velocities of up to 99.66..%c. Either you say that is because in the new TN age, it is not a matter of moving through space, but move space itself (or maybe through some in comparison really slippery bulk plane loophole instead), or acceleration is now just so easily available, that heaviness of equipment really does literally account for nothing anymore.
I prefer to see at least some interpretation of the first explanation (and the 'official' one suggested one too), because it avoids a lot of questions that the second method would generate, such as if you have so much energy to generate all that acceleration, then why are weapons still so underpowered? Just explode an engine. Or why there is a speed limit. Or no effects of relativity - Evidence: officers in flight on fast ships don't age slower.
You just have to assume new physics for all that to really add up. Any suggestion based on mass interfering with maneuver is therefore bare speculation or personalized interpretation. For this thread here, we can only take the (very few) tangible things into consideration, and some bright colored yet unprovable hints too if you will.

Naval ship comparison is based on similar crew data on certain sizes, then (somewhat weaker) similar component massing on sizes, the hints with the mass classification parallels (destroyer, cruiser, carrier) currently, and, new on the list, even the similarities of basic (1 layer conventional) armor weight.
I think so far this is the best hunch we get, so I try to figure out what things would be like, if it really was comparable like this. However, I understand this can be resented, and I am certainly not going to try to convince anyone to accept this as some canon calculation.

Ideally I am only going to use any results to describe ships that look kind of compact (similar to naval again), such as these:

(http://www.halopedia.org/images/thumb/9/96/H4-StridentHeavyFrigate-ScanRender.png/640px-H4-StridentHeavyFrigate-ScanRender.png)
(http://abload.de/img/destroyer_perspective0xjqu.png)

This is a design type that should fit pretty much all purposes which I would need these calculations for. Larger lightweight designs, and those with maybe open gyro flywheels, large but light reactors, or massive solar panels etc. are not covered by this of course, but then again nobody could simply derive a rule under which falls all science fiction designs ever created... .
(smaller is btw. here only in bounds possible, because we still have the crew count as fact, and that gives a minimum size no matter the era of miniaturization and heaviness of TN minerals)

So if we go with the premise that ships should look like this above, I think all this here is justified pretty much. In this context I think it also weakens the claim that TN elements would greatly distract any measurements, because that would also cause the mentioned parallels with naval to disappear.

To finally provide some data to these parallels (aside from the surprising armor weight one) I created 3 designs of TL1 mostly (jump engines are TL5 though) to visualize the crewing similarities, which are in my opinion the strongest supporter.
Destroyer
Off-Topic: show
Waning Destiny class Destroyer    7,000 tons     194 Crew     478.4 BP      TCS 140  TH 14  EM 30
100 km/s    JR 1-50     Armour 1-32     Shields 1-300     Sensors 5/1/0/0     Damage Control Rating 2     PPV 21.9
Maint Life 2.24 Years     MSP 85    AFR 196%    IFR 2.7%    1YR 23    5YR 343    Max Repair 70 MSP
Intended Deployment Time: 12 months    Spare Berths 2   
Magazine 110   

Looted Alienware's 7kt Passway Military Jump Ringlet     Max Ship Size 7000 tons    Distance 50k km     Squadron Size 1
Rembauchy Navigator Guild 14.4 EP Flood Engine (1)    Power 14.4    Fuel Use 128.97%    Signature 14.4    Exp 15%
Fuel Capacity 190,000 Litres    Range 3.8 billion km   (438 days at full power)
Princeton's School Projects Ice Nebula Screen Emitter (1)   Total Fuel Cost  9 Litres per hour  (216 per day)

Charity League Short Circuit Pattern Broadside Cannon (10)    Range 10,000km     TS: 2000 km/s     Power 0-0     RM 1    ROF 5        1 0 0 0 0 0 0 0 0 0
Hammer Industries Puff the Magic Dragon (cal. 10 10k r10) (1x4)    Range 10,000km     TS: 2000 km/s     Power 3-2     RM 1    ROF 10        1 0 0 0 0 0 0 0 0 0
Lancer Tarot's Tactical Superstition Augury Bot (30k 8kps) (1)    Max Range: 60,000 km   TS: 8000 km/s     83 67 50 33 17 0 0 0 0 0
Isis' Sunstone Nuclear Battery (2)     Total Power Output 2    Armour 0    Exp 5%

Flare Tube Pack Segment (20)    Missile Size 1    Hangar Reload 7.5 minutes    MF Reload 1.2 hours
Bishop Lancaster XLMA Interplanetary Missile Launcher (5)    Missile Size 6    Rate of Fire 3600
Jacobi Gears 21st Century Crosshair (110m 5.5k) (1)     Range 110.1m km    Resolution 110
Lancer Tarot's Shield of Faith Grade Flare Guidance (1)     Range 3.0m km    Resolution 1
Size 6 "Heartcatcher" Long Cruise Missile (15)  Speed: 300 km/s   End: 4.1d    Range: 105.6m km   WH: 5    Size: 6    TH: 1/0/0
Size 1 "Gendarme" AMF (20)  Speed: 300 km/s   End: 125m    Range: 2.3m km   WH: 1    Size: 1    TH: 1/0/0

Lancer Tarot's Omen Interpretation Device (54k) (1)     GPS 10     Range 500k km    MCR 55k km    Resolution 1
Lancer Tarot's Astral Projection Sensoring (5.24m 5.5k) (1)     GPS 1100     Range 5.2m km    Resolution 110
Ant Farm's Sugar Tracer - TH5 (1)     Sensitivity 5     Detect Sig Strength 1000:  5m km

194 Crew, whereas the naval average on  that size would roughly be 280. However, we see designs like the "Horizon" class which have 174 on 7050 tons, and crew size could go up a bit on later tech levels with increasing component complexity.

Cruiser
Off-Topic: show
Ambitious Sails class Cruiser    24,000 tons     625 Crew     2127.2 BP      TCS 480  TH 22  EM 120
45 km/s    JR 3-50     Armour 1-74     Shields 4-300     Sensors 100/5/0/0     Damage Control Rating 15     PPV 46.32
Maint Life 2.43 Years     MSP 831    AFR 307%    IFR 4.3%    1YR 194    5YR 2913    Max Repair 266 MSP
Intended Deployment Time: 24 months    Flight Crew Berths 16   
Flag Bridge    Hangar Deck Capacity 1000 tons     Magazine 80   

Looted Alienware's 24kt Portalis Staged Jump Peristaltic     Max Ship Size 24000 tons    Distance 50k km     Squadron Size 3
Rembauchy Navigator Guild 7.5 EP Cruise Engine (3)    Power 7.5    Fuel Use 21.92%    Signature 7.5    Exp 7%
Fuel Capacity 660,000 Litres    Range 22.2 billion km   (5702 days at full power)
Princeton's School Projects Ice Nebula Screen Emitter (4)   Total Fuel Cost  36 Litres per hour  (864 per day)

Only Reyleigh - Laser Based LR CIWS (1x4)    Range 30,000km     TS: 8000 km/s     Power 12-8     RM 1    ROF 10        3 1 1 0 0 0 0 0 0 0
Abel and Reyleigh Melting Overhead Projector (3 30k r10) (6)    Range 30,000km     TS: 2000 km/s     Power 3-2     RM 1    ROF 10        3 1 1 0 0 0 0 0 0 0
Connor's Workshop 2-shot roulette last resort vehicle (1x2)    Range 1000 km     TS: 8000 km/s     ROF 5       Base 50% To Hit
Lancer Tarot's Tactical Superstition Augury Bot (30k 8kps) (1)    Max Range: 60,000 km   TS: 8000 km/s     83 67 50 33 17 0 0 0 0 0
Cloud Center's Radiation Tamer Large Nuclear Reactor (1)     Total Power Output 20    Armour 0    Exp 5%

Flare Tube Pack Segment (80)    Missile Size 1    Hangar Reload 7.5 minutes    MF Reload 1.2 hours
Jacobi Gear's Virtuoso Triangulator (2.6m) (1)     Range 24.0m km    Resolution 1
Size 1 "Gendarme" AMF (80)  Speed: 300 km/s   End: 125m    Range: 2.3m km   WH: 1    Size: 1    TH: 1/0/0

Necessary Science Fund's Mark19 Avionic 50MW Overseer (1)     GPS 22000     Range 104.9m km    Resolution 110
Necessary Science Fund's Early Bird permanent Coverage (1)     GPS 200     Range 10.0m km    MCR 1.1m km    Resolution 1
Ant Farm's Known Streets - TH100 (1)     Sensitivity 100     Detect Sig Strength 1000:  100m km
Ant Farm's Psychic Member - EM5 (1)     Sensitivity 5     Detect Sig Strength 1000:  5m km

Since Cruisers aren't used so much anymore, I had only drawn 3 designs, which isn't exactly a reliable statistic source. However, the 625 man on 24k seems to be completely in line with the 655 on the 25.8kt russian "Kirow" class at least.

Carrier
Off-Topic: show
Northern Council class Carrier    100,000 tons     2513 Crew     11081.4 BP      TCS 2000  TH 90  EM 480
45 km/s    JR 3-50     Armour 1-191     Shields 16-300     Sensors 5/100/0/0     Damage Control Rating 185     PPV 114.24
Maint Life 3.42 Years     MSP 12814    AFR 432%    IFR 6%    1YR 1672    5YR 25076    Max Repair 3466 MSP
Intended Deployment Time: 24 months    Flight Crew Berths 319   
Flag Bridge    Hangar Deck Capacity 16000 tons     Magazine 840   

Looted Alienware's 100kt Stable Bubble Jump Curiosity     Max Ship Size 100000 tons    Distance 50k km     Squadron Size 3
Rembauchy Navigator Guild 7.5 EP Cruise Engine (12)    Power 7.5    Fuel Use 21.92%    Signature 7.5    Exp 7%
Fuel Capacity 5,000,000 Litres    Range 41.1 billion km   (10560 days at full power)
Princeton's School Projects Ice Nebula Screen Emitter (16)   Total Fuel Cost  144 Litres per hour  (3,456 per day)

Only Reyleigh - Laser Based LR CIWS (2x4)    Range 30,000km     TS: 8000 km/s     Power 12-8     RM 1    ROF 10        3 1 1 0 0 0 0 0 0 0
Charity League Short Circuit Pattern Broadside Cannon (10)    Range 10,000km     TS: 2000 km/s     Power 0-0     RM 1    ROF 5        1 0 0 0 0 0 0 0 0 0
Connor's Workshop 2-shot roulette last resort vehicle (1x2)    Range 1000 km     TS: 8000 km/s     ROF 5       Base 50% To Hit
Hammer Industries Puff the Magic Dragon (cal. 10 10k r10) (6x4)    Range 10,000km     TS: 2000 km/s     Power 3-2     RM 1    ROF 10        1 0 0 0 0 0 0 0 0 0
Lancer Tarot's Tactical Superstition Augury Bot (30k 8kps) (1)    Max Range: 60,000 km   TS: 8000 km/s     83 67 50 33 17 0 0 0 0 0
Cloud Center's Shielded Shine Small Reactor (1)     Total Power Output 8    Armour 0    Exp 5%
Cloud Center's Radiation Tamer Large Nuclear Reactor (1)     Total Power Output 20    Armour 0    Exp 5%

Flare Tube Pack Segment (120)    Missile Size 1    Hangar Reload 7.5 minutes    MF Reload 1.2 hours
Bishop Lancaster XLMA Interplanetary Missile Launcher (20)    Missile Size 6    Rate of Fire 3600
Jacobi Gears 21st Century Crosshair (110m 5.5k) (1)     Range 110.1m km    Resolution 110
Jacobi Gear's Virtuoso Triangulator (2.6m) (1)     Range 24.0m km    Resolution 1
Size 6 "Heartcatcher" Long Cruise Missile (100)  Speed: 300 km/s   End: 4.1d    Range: 105.6m km   WH: 5    Size: 6    TH: 1/0/0
Size 1 "Gendarme" AMF (240)  Speed: 300 km/s   End: 125m    Range: 2.3m km   WH: 1    Size: 1    TH: 1/0/0

Necessary Science Fund's Early Bird permanent Coverage (1)     GPS 200     Range 10.0m km    MCR 1.1m km    Resolution 1
Singing Gears' Locktide Gravitation Sieve (1)     GPS 7500     Range 96.8m km    Resolution 15
Ant Farm's Sugar Tracer - TH5 (1)     Sensitivity 5     Detect Sig Strength 1000:  5m km
Singing Gears' EM Echo Tracer - EM100 (1)     Sensitivity 100     Detect Sig Strength 1000:  100m km

If you compare this one with either Nimitz, Enterprise or Ford class, it indeed falls short by amazing 50% roughly. The crew numbers seem to greatly differ on carriers though (again, maybe carriers shouldn't be included at all in this due to all the differences to classic shipbuilding). When compared to the 70% sized Queen Elizabeth or the Admiral Kuznetsov, then crew size is exactly on spot again. (upsized Elizabeth would be 2266, and upsized Kuznetsov 2503 members)

I got similar matches with my actual game designs of TL6 and TL7 (20k destroyer: 480man, 300kt cruiser: 8000man, so around 25 tons per man; nearly identical to the calculated value in the naval table...), so this indeed means that Aurora ships of identical tonnage also have similar crew count. Here is exactly where I base this whole comparison on.


Quote
And last but not least, in real life mass is a very important consideration when launching stuff into space. In addition Aurora takes place in the future (usually) where very strong but light materials may be available, like carbon nanotubes for example. Those may completely replace current materials used, making ships strong but light.
It is very vague what a shipyard in Aurora actually is. It could be ground based, and needing to care about launch fuel, but it could also be orbital. I would argue it is more likely orbital, as shipyards can be destroyed by weaponry that usually wouldn't pierce the atmosphere of any planet. Even if not however, who says that all the old expensive launching methods still apply? This is TN age, where either space moves itself without concern for gravitational potential bonds pretty much. Or otherwise extreme acceleration can be generated and release of equivalently gigantic energy is a minor task.
The conclusion that ships need to be strong but light, just because they have to be carried from ground into space thus doesn't really add up for me here.
It is generally a good idea to have strong but light ships for other reasons though: 1. Detection is mass based, so less for a given volume still means stealthy, even if make a huge paper balloon. 2. Jumping is also mass based, so less means cheaper engines (unless you rely on gates).


---
Finally I want to say that I will now also look into other games and see how they weighted their ships on certain sizes if given. Also drawing armor weight if possible should be interesting. Currently I wanna look into Space Engineers and the SolarWar game that I remembered recently. If anyone knows more sources where people were interested in creating scientifically ambitious data, I am open to suggestions.
Title: Re: Studies: Volume to ship mass ratios
Post by: Vandermeer on May 29, 2015, 06:48:14 PM
Ok, so these other sources turned out insufficient so far.
Solar War: Seems really scientific at first, because ships care about adequate heat dissipation even, and warp travel around the solar system is calculated with rotation impulse and gravitational potential in mind.(direct course is the worst way, and optimal often one around 120-180° on the other side of the system) On first sight the armor weight calculation seemed to be nice too with 750t armor for a 7.2kt destroyer and 2.4cm steel thickness, - very similar to what I found. ...But as it turns out it is completely ignorant of that dimensional scaling law that Aurora nicely incorporated. For example, the identical 2.4cm armor 28.5kt cruiser is 4 times the mass, which means the armor should only be 2.5 times as heavy, but it is instead 3kts, so times 4 too. Data cannot be used.
Space Engineers: This game seems so scientific with all the gadgets and functionality that you basically have to invent yourself, and also the realistic thrust calculation. So I thought maybe their weight calculation - very important to newtonian thrust one might recall - would be on excellence standard. Well, not saying it is wrong, but it is definitely not in line with what you would expect from realistic shipbuilding, because it seems all these 2.5m sided cube blocks are considered filled with material. There is literally no way to have less than 2500mm armor. Just one block of heavy armor is 125 tons of steel probably. It seemed to work well when I replicated an Astroempire Fighter and Bomber, who came about as heavy as I calculated (25-50 and 45-90tons), but large ships, ridiculous. I tried to build a 300m long freighter, and when I just had build the spine (light armor block chain of 80), two massive engines, and the frontal blast shield of one layer heavy armor... it was already at 22 megatons... :o. Yeah, next.
Galactic Civilizations III: I didn't actually look for this one intentionally, but when browsing through fleet menus I found that singular ships display data of diameter and mass! Oh joy, a new potential source. The first one I calculated was one relatively cuboid human battlecruiser from the campaign, who had 70x74x281m diameters, which I estimated (using the first post method) as 770km³ Volume, and which weighted 175kt. Factor is 4.416, amazingly close to this list recherche!
..A lucky first hit. Most other designs jump around on the scale, and they didn't actually care of using exact density variables. I don't blame them, because that would of course be an usually unnoticeable detail. Just disappointed because I could find no other source.

So if I don't surprisingly find anything else, I will stop this here and take the 4.5m³/t.