Membrane-type eigenmotions of Mindlin plates (Q760256)
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scientific article; zbMATH DE number 3883730
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Membrane-type eigenmotions of Mindlin plates |
scientific article; zbMATH DE number 3883730 |
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Membrane-type eigenmotions of Mindlin plates (English)
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1985
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A membrane analogy is presented for eigenvalue problems of simply supported Mindlin plates of arbitrary polygonal planform. Influence of hydrostatic inplane forces and Pasternak-type foundation of the plate domain is taken into account. Analytical results are derived in a non- dimensional form, which - using the analogous membrane eigenvalues as parameters - is independent of the special shape of the plate.
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integral equation formulation for deflection
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three types of eigenmotions with corresponding eigenfrequencies and buckling eigenvalues
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Dirichlet problem
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Neumann-Helmholtz type problem
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membrane analogy
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eigenvalue problems
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simply supported Mindlin plates
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arbitrary polygonal planform
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hydrostatic inplane forces
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Pasternak-type foundation
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Analytical results
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non-dimensional form
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independent of the special shape
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