| 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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| 引用本文： | 王永岗,王新志.静载荷作用下正交各向异性旋转扁壳的非线性自由振动[J].应用数学和力学,1997,18(6):545-550. |
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| 作者姓名： | 王永岗 王新志 |
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| 作者单位： | 甘肃工业大学!兰州730050 |
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| 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。
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| 关 键 词： | 非线性振动 静载荷 正交各向异性 扁球壳 扁锥壳 |
Nonlinear Free Vibration of Orthotropic Shallow Shells of Revolution under the Static Loads |
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| Wang Yonggang, Wang Xinzhi, Song Huifang.Nonlinear Free Vibration of Orthotropic Shallow Shells of Revolution under the Static Loads[J].Applied Mathematics and Mechanics,1997,18(6):545-550. |
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| Authors: | Wang Yonggang Wang Xinzhi Song Huifang |
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| Abstract: | In this paper, the axisymmetric nonlinear free vibration problems of cylindrically orthropic shallow thin spherical and conical shells under uniformly distributed static loads are studied by using MAR and Lindstedt-Poincare perturbation method, from which, the characteristic relation between frequency ratio and amplitude is obtained. The effects of static loads, geometric and material parameters on vibrational behavior of shells are also discussed. |
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| Keywords: | nonlinear vibration static loads orthotropic shallow spherical shell shallow conical shell |
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