Analyzing Torsion in Thin-Walled Rings: A Rigid Body Dynamics Approach

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    Ring Torsion
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The discussion focuses on analyzing torsion in thin-walled rings or ovals, specifically addressing the application of torque and its effects on the structure. The torque vector is applied in a manner that attempts to "fold" the ring, raising questions about the appropriate boundary conditions and the complexities of varying cross-sections. Participants consider whether the problem can be approached using rigid body dynamics principles, given the non-circular cross-section. The need for a clear understanding of the boundary conditions is emphasized to accurately model the torsional effects. Overall, the conversation seeks effective methods for analyzing the torsional behavior of non-standard ring geometries.
dav2008
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Hello,

Does anyone have any suggestions on how to approach torsion of a thin-walled thin ring/oval?

so if this is a top view of the ring: O then the torque would be applied with the torque vector pointing as O--> (ring is fixed at the opposite end).
 
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I guess one thought is to treat it as a varying cross-section and integrate, but it's not a circular cross-section so the typical Tr/J formula wouldn't apply.
 
So the torque is really a moment that is trying to "fold" the o-ring in half?

What are the rest of the boundary conditions?
 
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So, what do you want to know? Can your question be answered as a rigid body dynamics problem?
 

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