Influence of boundary condition nonlinearities on free vibrations of plates under their geometrically nonlinear deformation (Q2870345)
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scientific article; zbMATH DE number 6247724
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Influence of boundary condition nonlinearities on free vibrations of plates under their geometrically nonlinear deformation |
scientific article; zbMATH DE number 6247724 |
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17 January 2014
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thin plate vibrations
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nonlinear model
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Influence of boundary condition nonlinearities on free vibrations of plates under their geometrically nonlinear deformation (English)
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The influence of boundary condition nonlinearities on free nonlinear vibrations of rectangular plates is analyzed. The nonlinear boundary conditions for membrane forces are transformed into linear ones by means of in-plane stress functions. Additional boundary conditions are taken into account, which describe the absence of in-plane displacements on the clamped part of the plate. Backbone curves obtained with allowance for linear and nonlinear boundary conditions are compared.
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