| 一种用于非线性振动系统的模态分析方法 |
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| 引用本文： | 刘.一种用于非线性振动系统的模态分析方法[J].力学学报,1988(1). |
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| 作者姓名： | 刘 |
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| 作者单位： | 北京航空学院
(刘(钅东)生)，北京航空学院(黄克累) |
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| 摘 要： | 本文提出了一种用于非线性振动系统的模态分析方法,将求解非线性系统模态的问题化为求解非线性特征值、特征向量的问题,利用模态研究系统的响应,文中分析了非线性保守系统、非线性自治系统和非线性非自治系统的线性模态,导出了三个模态包含原理。
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| 关 键 词： | 非线性系统 模态分析 主振动线性模态 |
A METHOD OF MODAL ANALYSIS APPLICABLE TO NONLINEAR VIBRATION SYSTEMS |
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| Liu Liansheng,Huang Kelei.A METHOD OF MODAL ANALYSIS APPLICABLE TO NONLINEAR VIBRATION SYSTEMS[J].chinese journal of theoretical and applied mechanics,1988(1). |
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| Authors: | Liu Liansheng Huang Kelei |
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| Institution: | Beijing Institute of Aeronautics and Astronautics |
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| Abstract: | The paper presents a method of modal analysis which is applicable to nonlinear vibration systems. By means of the method, the problem of finding principal modes of nonlinear systems is transferred to the problem of finding nonlinear eigenvalues and eigenvectors. The linear modes of nonlinear conservative systems, autonomous systems and nonautonomous systems are analyzed. And three modal inclusion principles are deduced. |
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| Keywords: | nonlinear system modal analysis principal vibration linear mode |
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