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Nonlinear modes of motion of thin circular cylindrical shells - MaRDI portal

Nonlinear modes of motion of thin circular cylindrical shells (Q2760814)

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scientific article; zbMATH DE number 1682321
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English
Nonlinear modes of motion of thin circular cylindrical shells
scientific article; zbMATH DE number 1682321

    Statements

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    13 December 2001
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    Krylov - Bogolyubov method
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    Bubnov - Galerkin method
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    free flexural vibrations
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    simply supported shell
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    Nonlinear modes of motion of thin circular cylindrical shells (English)
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    Free flexural vibrations of a simply supported shell are studied within the framework of the nonlinear theory of flexible shallow shells. It is assumed that large-amplitude flexural vibrations are coupled with radial vibrations of the shell. Modal equations are derived by the Bubnov - Galerkin method. Periodic solutions are obtained by the Krylov - Bogolyubov method. The skeleton curve of the soft type obtained using a nonlinear finite-dimensional shell model agrees with available experimental data.
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    Identifiers