静载荷作用下正交各向异性旋转扁壳的非线性自由振动

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Nonlinear Free Vibration of Orthotropic Shallow Shells of Revolution under the Static Loads

摘要: 本文用加权残值法和Lindstedt－Poincare摄动法研究了圆柱型正交各向异性扁薄球壳和锥壳在均布静载荷作用下的轴对称非线性自由振动问题,得到了其非线性固有频率和振幅间的特征关系,并讨论了静载荷及壳体的几何参数和材料参数对其振动特性的影响。
- 非线性振动 /
- 静载荷 /
- 正交各向异性 /
- 扁球壳 /
- 扁锥壳
Abstract: In this paper, the axisymmetric nonlinear free vibration problems of cylindrically orthoiropic shallow thin spherical and conical shells under uniformly distributed static loads are studied by using MWR and Lindstedt-Poincare perturbation method. from which, the characteristic relation between frequency ratio and amplitude is obtsained. The effects of static loads, geometric and material parameters on vibrational behavior of shells are also discussed.
- nonlinear vibration /
- static loads /
- orthotropic /
- shallow spherical shell /
- shallow conical shell

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