Verifying Buckling Solution with NDSolve/DSolve

Aladdin123 · Feb 6, 2017

Hi I am trying to verify my manual solution for this problem by any way, so I tried NDSolve, and DSolve, in mathematica with no success. I don't need it in mathematica I just need any way poosible, even matlab, or any other numeric way/soltuion. Can some one help, or even give me the final numbers :D I need the first 3 alphas for a buckling.

Typeset equations of a generalized 2D buckling problem: fourth-order PDE w_xxxx + 2w_xxyy + w_yyyy + alpha w_xx = 0 (1); boundary conditions w = 0 at x = -1, 1 and y = -0.5, 0.5 (2); and zero second derivatives on those edges (3).

jedishrfu · Feb 6, 2017

I hope you realize that your request is a bit too much to ask.

Verifying Buckling Solution with NDSolve/DSolve

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