Nonlinear modes of vibrations for simply supported cylindrical shell with geometrical nonlinearity

被引：0
|
作者：
K. V. Avramov
机构：
[1] National Academy of Sciences of Ukraine,A.N. Podgorny Institute for Mechanical Engineering Problems
来源：
Acta Mechanica | 2012年 / 223卷
关键词：
Cylindrical Shell; Free Vibration; Periodic Motion; Nonlinear Vibration; Nonlinear Algebraic Equation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The system of three partial differential equations with respect to displacements (Donnell equations) is used to analyze nonlinear vibrations of a cylindrical shell. The Galerkin method is applied to every partial differential equation to obtain a finite-degree-of-freedom model of the shell. The system of ordinary differential equations with respect to the general coordinates of the radial shell displacements is derived. The nonlinear modes of free vibrations are calculated using the harmonic balance method. The stability analysis of periodic motions is performed.
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页码：279 / 292
页数：13
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