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强非线性自由振动问题的一种解法
引用本文:袁Yi吾. 强非线性自由振动问题的一种解法[J]. 强度与环境, 1998, 0(1): 32-39
作者姓名:袁Yi吾
作者单位:中南工业大学!长沙,410083
摘    要:
本文用改进了的L-P法研究了一类保守系统强非线性自由振动问题;在此基础上,用插值摄动法[1]进一步研究了更一般的非保守系统的自由振动问题。算例表明,本文方法是可靠的。

关 键 词:非线性振动  自由振动  内插法  摄动理论

A Method for Solving the Strongly Nonlinear Free Oscillation Problems
Yuan Yiwu. A Method for Solving the Strongly Nonlinear Free Oscillation Problems[J]. Structure & Environment Engineering, 1998, 0(1): 32-39
Authors:Yuan Yiwu
Abstract:
In this paper, using the improved L-P method, the author seeks to solve a class of strongly nonlinear free oscillation problems of a conservative system. On this basis, using the interpolation perturbation method, we progressively study the more general strongly nonlinear free oscillation of a nonconsevative system. Numerical examples are presented. They show that the method of this paper is reliable.
Keywords:Nonlinear vibration   Free Vibration   Interpolation method   Perturbation theory
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