When buckling plate of both ends fixed, the deflection and the mode shape of the plate can be found from the equation: y=M(1-cos mx)/P. With this equation, the cross sectional area and the young's modulus of the plate is usually unchange.(adsbygoogle = window.adsbygoogle || []).push({});

However, if the flexural rigidity of the plate is divided into three segments such that the middle segment have a higher flexural rigidity than the other two segments, it is found that the equation: y=M(1-cos mx)/P seems not fit this situation.

Would you know how to calculate the deflection and the mode shape in this case, please? Thank you in advance.

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# Buckling plate

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