Nonlinear vibrations of a cylindrical shell

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作者
Bukashkina, O.S.
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来源
| 2000年 / Izdatel'stvo Sankt-Peterburgskogo卷
关键词
Cylinders (shapes) - Elasticity - Integration - Loads (forces) - Nonlinear equations - Ordinary differential equations - Vibrations (mechanical);
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摘要
The low frequency vibrations of a thin elastic cylindrical shell under the action of an axial harmonic force are studied. The conditions of the development of nonsymmetrical parametrical vibrations are investigated. Using the method of asymptotic integration and Bubnov-Galerkin procedure we reduce the initial system to ordinary differential nonlinear equations. Dynamic instability domains for the considered system are constructed and amplitudes of parametrical vibrations are found.
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