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I assume in a nuclear bomb, material density is used to focus initiating blast energies .
This would be like controlling a bounce pressure wave
travelling through a superball .
Most superball's are homogeneous of crosslinked chains
, no density changes to control pressure wave.
I imagine(code
for not sure) the best return energy from a bounce is to have the equator control the pressure wave when one of the poles takes a bounce . ( linear / untorqued )
Things get complex when spin is involved .
Would it be possible to calculate the density areas inside the superball as to deflect pressure waves to maximise
bounce ? ( the wave equation right ?)
Because the ball can take a bounce on all points , a solution for one point would be overlaid on all points .
What I am really asking is, where do you place the areas of no density , some density , skin density and solid density and there respective shapes inside the superball for as many bounce configorations as posible .
Is the idea computable ?
Idea of heterogenous rubber superball that the bounce
gets closer to maximum energy return .
graded-index multimode fiber optic cable
http://www.arcelect.com/fibercable.htm
[MisterQED, Jun 13 2008]
[link]
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When a superball hits the ground it compresses vertically and expands horizontally. "round" seems to be the optimum answer.
nothing to do with nuclear weapons or other explosives, either. |
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[marked-for-deletion] not an idea |
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I am trying to control the pressure wave travelling through the ball .
Like those fancy trainers with the clear gel cushion . |
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and this relates nuclear weaponry how ? |
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The calculations of controlling focus blast of c4 to initiate explosion would be the same as controlling pressure wave travelling through superball on bounce . |
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superballs are already pretty bouncy |
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We are the human race , we don't settle for pretty bouncy . |
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//blast of c4 to initia// |
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I bet no-one uses C4 to initiate fission weapons. |
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//The calculations of controlling focus blast of c4 to initiate explosion would be the same as controlling pressure wave travelling through superball on bounce .
// |
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sp "would" .. "wouldn't". |
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No, the idea isn't computable. You've noted that the //ball can take a bounce on all points//, yes, yes, but you wanted //to maximize bounce//? In what direction? //as many bounce configorations <-sp> as possible//? |
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If you just want a general purpose solution, then it's gonna be spherically symmetric - no help for that. If there's something else you want - like always having it recoil along a particular axis no matter which way you drop it - then you're going to have to say it more clearly. |
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//then you're going to have to say it more clearly//
... like "start a nuclear reaction by dropping a carefully designed superball-sized sphere of plutonium" or something... ? |
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// this relates nuclear weaponry how // |
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[wjt] is referring to the "squeeze" or "implosion" type of Plutonium fission weapon. |
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C4 is not used. C4 is based on RDX and detonates too slowly. The original Trinity gadget used TNT and Baratol in shaped charges to form "explosive lenses". Modern weapons use similar fast/slow combinations to achieve a uniform pressure on the core. |
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I think I understand the idea as using varying radial densities to lens the compression waves inside the superball to maximize bounce. |
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He didn't include the radial term, but I will because it is the only way it works for all bounces. |
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Like the lens in your eye, but in three dimensions and for sound instead of light. |
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So I think the idea is to slow the wave propogation travelling thru the center down so that the waves travelling at/near the surface will reach and reflect from the point at the opposite side so that all the reflected waves will return back to the original point in phase hopefully in time to contribute to the bounce. |
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I would think this could work but only if the impact is near the resonant frequency of the ball. |
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... and if you could suitably minturise all the sensors, batteries, power supplies, timing circuitry, arming mechanisms, and detonators ..... |
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I understand that the fastest computer of all time chiefly is occupied with calculating nucular bomb stuff. I like this idea because one could use these specialized computers to calculate something with real world applications: bouncy rubber toys. |
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It may be that the optimal shape is not a sphere, and that the optimal bounce is conferred by a heterogenous internal structure. There are too many options to test empirically. This is a job for a supercomputer if ever there was one. |
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Man, I wish my written words conveyed my thoughts. |
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Nuclear is probably a red herring, in that it would take nuclear level calculation . |
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Yes - I was thinking calculation of implosion fission weapon is similar to calculation needed . |
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No - not necessarily a radial symmetry but there maybe a symetry that looks nearly the same conicaly from the bounce point along the radius into the ball .
There would be a number of perfect bounce points on the surface (depending on how complex the computing is) like pentagons and hexagons on a soccer ball . I am sacrificing 'all points' to cover more resonant frequecies and ease computing . |
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Of course , once the densities are all figured out, the ball would have to be radially layered to actualise a physical nuclear superball entity . |
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I wonder if computing will get so good that all of the structure's polymer chains could be cad/cam'd for a 32mm nuclear superball ? (really outrageous numbers) |
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Forget the nuclear part, I think that is where this idea leads people off. Think of it like graded-index multimode fiber optic cable, but to work with sound instead of light.
With graded-index cable you need to make sure that all the light takes the same amount of time to reach the other side. So they graded the indexes in so that light traveling the most direct path would travel the slowest. |
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Do you want the sound wave travelling directly to the opposite point on the ball like a ball bearing ?
I would have thought the sound wave should reflect off the equator (expansion/contraction) on the way to the opposite side giving the bounce . |
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I don't know how you'd get reflection at the equator as I think you'd need incompressibility and immobility or the opposite? I'm more familiar with optics and I think you'd need any significant density shift will cause some percentage of reflection. To get complete reflection you’d need a big density shift. |
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Imagine a thin steel bar struck axially on one end by a slow moving hammer. The compression wave travels down the bar at the speed of sound in steel till it reaches the other end where it may impart some of the energy to the air, but most will reflect back toward the hammer. |
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The ball just adds more paths for the sound waves, which I think could be modified by a radial density gradient to all reach the other side at the same time and then back to the origin at the same time. |
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I'm just still dubious that they will arrive early enough to make a contribution to the bounce, though this part of material science is far outside my knowledge. |
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// this part of material science is far outside my knowledge // |
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Hey, don't let that stop you giving your opinion ... |
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//don't let that stop you giving your opinion// k, now I'm intrigued; postulating that the ball is a sphere of concentrically variable density such that not only is the macro bounce reinforced by the "best return" initial echo wave of the impact but it works at any (or at least a wide unbroken range of) speed of impact. |
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//it works at any (or at least a wide unbroken range of) speed of impact.// Does it? I guess I don't know how long the ball will be bouncing vs. the speed of sound in the ball. In any case it would need to be within the resonance of the bounce, so that the ball strikes the surface creates the pressure wave and the pressure wave returns before the ball leaves the ground or best, right as the ball leaves the ground, to mirror the original effect. I guess the range would be wide as long as the delay of the reflected wave is much longer than the contact time. |
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//Does it?// clarifying the parameters of the original post I think. |
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A Simplified model is that there is a spring at the point of contact when ball hits the ground .
I would like this spring to be 100% efficient but thats not going to happen . |
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How do I design the density in the ball to make that spring the best possible ? |
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I thought of placing bubbles in a radial symetry about 3/4 from centre to act as a space for the polymer to bow under spring tension . This doesn't use the possiblity of increased density geometric shapes to add to the spring . Torque motions are a whole new ball game . |
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Maybe I should have called it an 'atom superball' and made the balls gel structure a model of electron densities, protons and neutrons . That would then have to give a perfect bounce . |
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Three test balls
1) standard superball with solid metal ball bearing in centre
2) same as 1 but when setting inject little bubbles of gas radially 3/4 out around ball bearing .
3) 2 reversed, a central bubble of gas and tiny metal ball bearings 3/4 out from centre . |
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My analogy for a superball is like a whole lot of biro springs all randomly tangled into a sphere ( altered scale ). To design those spring placements should effect a bounce closer to perfection . |
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