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扁球壳和扁锥壳的轴对称非线性热弹耦合振动

王永岗 戴诗亮

王永岗, 戴诗亮. 扁球壳和扁锥壳的轴对称非线性热弹耦合振动[J]. 应用数学和力学, 2004, 25(4): 391-399.
引用本文: 王永岗, 戴诗亮. 扁球壳和扁锥壳的轴对称非线性热弹耦合振动[J]. 应用数学和力学, 2004, 25(4): 391-399.
WANG Yong-gang, DAI Shi-liang. Thermoelastically Coupled Axisymmetric Nonlinear Vibration of Shallow Spherical and Conical Shells[J]. Applied Mathematics and Mechanics, 2004, 25(4): 391-399.
Citation: WANG Yong-gang, DAI Shi-liang. Thermoelastically Coupled Axisymmetric Nonlinear Vibration of Shallow Spherical and Conical Shells[J]. Applied Mathematics and Mechanics, 2004, 25(4): 391-399.

扁球壳和扁锥壳的轴对称非线性热弹耦合振动

详细信息
    作者简介:

    王永岗(1965- ),男,陕西人,副教授,博士(联系人.Tel:+86-10-62336411(o),+86-10-82387804(h);E-mail:wangyg@tsinghua.org.cn).

  • 中图分类号: O322

Thermoelastically Coupled Axisymmetric Nonlinear Vibration of Shallow Spherical and Conical Shells

  • 摘要: 假设温度场与应变场相互耦合,研究了旋转扁薄球壳和锥壳的轴对称非线性热弹振动问题.基于von Krmn理论和热弹性理论,导出了本问题的全部控制方程及其简化形式.应用Galerkin技术进行时空变量分离后,得到了一个关于时间的非线性常微分方程组.根据方程的特点,分别用多尺度法和正则摄动法求得了壳体振动的频率与振幅间特征关系和振幅衰减规律的一次近似解析解,并讨论了壳体几何参数、热弹耦合参数以及边界条件等因素对其非线性热弹耦合振动特性的影响.
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出版历程
  • 收稿日期:  2002-01-29
  • 修回日期:  2003-10-21
  • 刊出日期:  2004-04-15

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