How to model distortion of rubber surface due to gravity??

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10 comments, last by Vorpy 17 years ago
Quote:Original post by data2
@pingt Ok, but how do I get a translation of vertices from this?? Is it simply the vector between center of gravity C to my current point P that gets multipled by the factor iven by GM/r?? Like

P' = P + (P-C)*GM/(P-C)


r here is your grid position in 2D undisturbed:
r=sqrt(x*x + y*y)

z of the grid is the potential:
z= -GM/r


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If you just want to use a normal curve instead, compute the distance of the point from the center of the dimple and compute the value of the normal curve at that point. The normal curve has nothing to do with the bending of space, but if all you're using it for is to make a dimple, it doesn't matter. You could also consider using the hyperbolic cosine function, which actually describes catenaries (the shape of a rope or chain hanging from two points), but I'm not sure how exactly that would apply to a sheet of rubber...you could also try physically modelling it with a mass-spring system.

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