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Buckling of thin plates using the framework method

University of British Columbia

Finite element method involving rectangular bar cells capable of imitating elastic action in plane stress and flexure of plates with any value of the Poisson's ratio, is extended to investigation of stability of rectangular plates. This requires formulation of the stability matrix used for solution of the eigenvalue problem, which gives the magnitude of the critical load. Four different examples are solved and the results, compared with the exact values and the available no bar solutions, are found to be good. A brief study is also made of the effect of negative extensional and flexural stiffnesses of the members of the cell and suggestion is made on selection of the desirable range for the values of the aspects ratio of the cell as related to the values of µ.

Text

2011-05-17

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http://hdl.handle.net/2429/34616

Civil Engineering

University of British Columbia

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