| 变密度环形薄膜的轴对称振动修正摄动解 |
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| 引用本文： | 吴晓.变密度环形薄膜的轴对称振动修正摄动解[J].振动与冲击,2002,21(4):59-60,30. |
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| 作者姓名： | 吴晓 |
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| 作者单位： | 常德师范学院,常德,415000 |
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| 摘 要： | 采用修正摄动法研究了变密度环形薄膜的轴对称横向固有振动，并求得了确定其横向振动固有频率的特征方程，把该方法所得到的修正摄动解与有关文献所得结果进行比较，可知此修正摄动解不但计算简便，而且精度可与经典的打靶法与微分求积法的精度相当。
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| 关 键 词： | 变密度环形薄膜 轴对称振动 固有频率 修正摄动解 二阶线性齐次方程 |
Amended Perturbation Solution for Axisymmetric Vibrations of Annular Membranes with Varying Density |
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| Wu Xiao.Amended Perturbation Solution for Axisymmetric Vibrations of Annular Membranes with Varying Density[J].Journal of Vibration and Shock,2002,21(4):59-60,30. |
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| Authors: | Wu Xiao |
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| Abstract: | In the paper,a perturbation solution analysis for axisymmetric transversal intrinsic vibrations of annular membranes with varying density is presented.The characteristic equations which determine the transversal intrinsic vibrations frequencies are obtained and are compared with the results in concerned references.It is shown that not only the solution has higher accuraoy but also the calculation process is simpler than others. |
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| Keywords: | varying density annular membranes transversal vibrations natural frequency amended perturbation solution |
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