Re: Inertia tensor of triangle in arbitrary coordinate system


Preben wrote:
Hi,


I'm trying to find an (approximate) solution for finding the inertia
tensor of a triangle in an arbitrary coordinate system.

How to do this?


Consider a rigid body constructed of a "thin" surface of some defined
thickness and approximated by a lot of triangles - how do I find the
inertia tensor for this body?

Well, the general idea that I've had is to find the inertia tensor of
each triangle with respect to a coordinate system in the center of mass
of the body. Then add all these results and the total inertia tensor
will be given.


Why do I actually wanna do all this.
Well, in general this wouldn't be necessary, if the principal axes of
the body was to be found in another way! So if you can think of another
way of finding the principal axes of some body constructed of a surface
(triangles), then feel free to propose this method!

Use a GRAPE.
http://www.research.ibm.com/grape/grape_ewald.htm

Sue...

http://www.citebase.org/cgi-bin/citations?id=oai:arXiv.org:physics/0107015
http://www.chem.purdue.edu/gchelp/liquids/inddip.html
http://www.mypage.bluewin.ch/Bizarre/GRAV.htm
http://chaos.fullerton.edu/~jimw/general/inertia/index.htm
http://www.esa.int/SPECIALS/GSP/SEM0L6OVGJE_0.html



Thanks
/ Preben

.

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