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• W3088407152 abstract "Abstract A unified bran-new wavelet algorithm has been proposed for solving large bending of clamped or simply supported variable-thickness plates resting on nonlinear triparametric elastic foundations. The strongly nonlinear variable-coefficient governing equations for plates with arbitrary distributed thickness have been successfully transformed and solved under the formulation of thickness distributed function meeting circled homogeneous Neumann boundary. The highly accurate wavelet solutions of dimensionless deflection and bending stresses are finally obtained by wavelet homotopy approach, which are difficult and rarely obtained by other numerical methods. Nonlinear bending of characteristic variable-thickness plates of prismatic, tapered, pitted and raised types are further investigated with different parameters of thickness profiles and elastic foundations. Nonlinear effect of inhomogeneous thickness turns to be more evident on changing deflection and stresses distributions of rectangular tapered plates, but only affect extreme values for square tapered one. Resisting bending capability of prismatic plate will be enhanced by improvement of tapered slope but weakened adding polynomial orders of thickness profile. Difference of deflection and bending stresses between raised and pitted plates are enlarged by small deflection theory but gradually narrowed by large deformation theory, which reveals thickness discrepancy has little effect at large bending stage." @default.
• W3088407152 created "2020-10-01" @default.
• W3088407152 creator A5044524874 @default.
• W3088407152 date "2020-12-01" @default.
• W3088407152 modified "2023-10-03" @default.
• W3088407152 title "Wavelet-based homotopy method for analysis of nonlinear bending of variable-thickness plate on elastic foundations" @default.
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• W3088407152 doi "https://doi.org/10.1016/j.tws.2020.107105" @default.
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