环形薄板的大幅度振动

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Large Amplitude Vibration of Thin Annular Plates

Shanghai University of Technology; Shanghai Institute of Applied Mathematics and Mechanics, Shanghai

摘要: 本文利用修正迭代法求出了环形薄板的轴对称大幅度自由振动的一种新的解析解,并由此导出了环板的振幅和振频的解析关系式.本文揭示了修正迭代法在板的大幅度振动问题研究中所潜在的很大的优越性.
- 环形板 /
- 大幅度 /
- 振动
Abstract: A pure analytic solution of the axisymmetric large amplitude free vibration of thin annular plates is presented in this paper. By using the modified iteration method, we derive an analytic relation for the amplitudes vs. frequencies of vibrations. The present paper shows the great potentiality of this method to tackle the large amplitude vibration problems of plates.
- annular plate /
- large amplitude /
- vibration

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