| 非线性振动系统主振型的一种求解方法及稳定性判定 |
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| 引用本文： | 刘鍊生,霍拳忠,黄克累. 非线性振动系统主振型的一种求解方法及稳定性判定[J]. 应用数学和力学, 1987, 8(6): 505-512 |
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| 作者姓名： | 刘鍊生 霍拳忠 黄克累 |
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| 作者单位： | 1.北京航空学院; |
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| 摘 要： | 本文提出了一种求解非线性振动系统主振型的新方法,将求解非线性系统主振型的问题化为求解一系列代数方程组的问题。该方法适用于各种多自由度非线性振动系统,计算比较简单。文中还给出了一种判定非线性系统主振型稳定性的方法。
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| 收稿时间： | 1986-03-24 |
A Method of Finding the Principal Modes of Nonlinear Vibration Systems and Their Stabilities |
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| Affiliation: | 1.Beijing Institute of Aeronautics and Astronautics, Beijing;2.Tianjin University, Tianjin |
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| Abstract: | This paper presents a new method of finding the principal modes of nonlinear vibration systems,by means of which the problem of finding principal modes of nonlinear systems is transferred to the problem of finding real roots of a set of algebraic equations.The method is applicable to various kinds of nonlinear vibration systems with many degrees of freedom,and is simple in calculation.The paper presents another new method of analyzing the stabilities of principal modes of nonlinear systems. |
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