| 旋转薄壳轴对称自由振动的转点问题 |
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| 引用本文： | 张若京,张维.旋转薄壳轴对称自由振动的转点问题[J].力学学报,1990,22(5):574-578. |
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| 作者姓名： | 张若京 张维 |
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| 作者单位： | 同济大学航空航天与力学学院，200092 |
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| 摘 要： | 在用渐近法求解任意旋转薄壳(圆柱壳和球壳除外)的轴对称自由振动方程时,在一定的频率参数范围内,存在转点问题。其中,对于存在唯一简单转点的情况,至今未获解决。本文解决了这一问题。
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| 关 键 词： | 薄壳 振动 转点 摄动 渐近解 |
TURNING POINTS IN THIN SHELLS OF REVOLUTION VIBRATION WITH AXISYMMETRIC MODE |
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| Zhang Ruojing.TURNING POINTS IN THIN SHELLS OF REVOLUTION VIBRATION WITH AXISYMMETRIC MODE[J].chinese journal of theoretical and applied mechanics,1990,22(5):574-578. |
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| Authors: | Zhang Ruojing |
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| Abstract: | The differential equations governing axisymmetric free vibration of thin shells of revolution (except cylindrical and spherical shells) have turning points when the frequency parameter falls in some range. All six uniformly valid and entire asymptotic solutions are obtained in present paper, when the equations have a simple turning point. Those results have not been reported previously in literature. |
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| Keywords: | shell vibration turning points differential equation |
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