G'Day Everybody, I am computing buckling of a rectangular(edges: a*b) specially orthotropic composite plate. The boundary conditions are clamped-clamped at the opposing loaded edges and the other two edges are free (also known as CFCF). After having the boundary conditions and the governing differential equation I to need to assume the deflection of the buckled shape in order to apply Rayleigh Ritz Method. At this point I would like to know if anybody can tell me that the following shape function is correct or not:(adsbygoogle = window.adsbygoogle || []).push({});

w(x,y)=A*(1-cos(2*pi*m*x/a)

,where:

A: is to be determined at afterwards

m: Natural for Buckling

or should be the following, du to the modeshape in y-direction(w(y)=A):

w(x,y)=A*(1-cos(2*pi*m*x/a)*A

I assumed it to be correct but the following calculations where simplified so much that I am not sure anymore.

Any help would be greatly appreciated.

Thanks in advance.

Sam

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# Plate Buckling Deflection Function for Rayleigh Ritz Method

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