胡宇达, 白象忠. 圆柱壳体的非线性磁弹性振动问题[J]. 工程力学, 2000, 17(1): 35-40,2.
引用本文: 胡宇达, 白象忠. 圆柱壳体的非线性磁弹性振动问题[J]. 工程力学, 2000, 17(1): 35-40,2.
HU Yu-da, BAI Xiang-zhong. THE NONLINEAR MAGNETO-ELASTION OF THIN CYLINDRICAL SHELLS[J]. Engineering Mechanics, 2000, 17(1): 35-40,2.
Citation: HU Yu-da, BAI Xiang-zhong. THE NONLINEAR MAGNETO-ELASTION OF THIN CYLINDRICAL SHELLS[J]. Engineering Mechanics, 2000, 17(1): 35-40,2.

圆柱壳体的非线性磁弹性振动问题

THE NONLINEAR MAGNETO-ELASTION OF THIN CYLINDRICAL SHELLS

  • 摘要: 导出了纵向磁场中圆柱薄壳体的非线性轴对称振动基本方程。利用多尺度法和摄动法求出了两端简支壳体振动的近似解析解,并对振动幅值和频率进行了讨论。

     

    Abstract: In this paper, the nonlinear axisymmetric vibration equation of then cylindrical shells in longitudinal magnetic field is derived. By means of perturbation-method and multi-scale method. an approximate analytic solution to the equation of the shell with two simply supported ends is obtained and the frequency and the amplitude of vibration are discussed as well.

     

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