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Analytical buckled mode shapes of ring

Submitted by anishiitk on

Hi,

I am facing problem in finding the analytical exact buckling mode shapes
for ring. I have already found buckled shapes through ABAQUS, and now I
am trying to find the buckled shape through some analytical equation.
If anybody has some idea about it, so please let me know. Can it posible
to get the exact analytical equation for buckled shape of ring which
approximate match with ABAQUS result.

Anish Kumar

M.Tech. (Solid Mechanics and Design)

Mechanical engineering department

IIT Kanpur, India.

Email id:- anish [at] iitk.ac.in (anish[at]iitk[dot]ac[dot]in)