| 求非线性转子－轴承系统周期响应的一种计算方法 |
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| 引用本文： | 李立,郑铁生,许庆余.求非线性转子－轴承系统周期响应的一种计算方法[J].应用力学学报,1995(3). |
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| 作者姓名： | 李立 郑铁生 许庆余 |
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| 作者单位： | 西安交通大学 |
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| 摘 要： | 本文把求非线性转子－轴承系统瞬态响应的分块Ｎｅｗｍａｒｋ方法与打靶法结合求系统的周期解，该方法利用了分块Ｎｅｗｍａｒｋ方法求解速度快的优点和Ｊａｃｏｂｉ矩阵求解时每步不需迭代的特点。本文首先给出周期解的求解公式，然后用一个算例，讨论了周期解的稳定性及失稳后的分岔行为。
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| 关 键 词： | 转子动力学，数值积分法，非线性振动 |
A Method for Periodic Response of Nonlinear Rotor-Bearing Systems |
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| LiLi,Zhen Tiesheng,Xu Qingyu.A Method for Periodic Response of Nonlinear Rotor-Bearing Systems[J].Chinese Journal of Applied Mechanics,1995(3). |
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| Authors: | LiLi Zhen Tiesheng Xu Qingyu |
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| Institution: | Xi'an Jiaotong University Xi'an 710049 |
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| Abstract: | A new method, combined shooting method with partitioned Newmark method, is proposed for theperiodic response of nonlinear rotor-bearing systems. This method makes use of the advantage of parti-tioned Newmark method, which is fast for solving transient response of nonlinear rotor-bearing sys-tems.In this paper, the formulae of the method are presented. A numerical example is given to calcu-late the periodic response and Floquet multipliers and analyses the bifurcation of this system. |
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| Keywords: | rotor dynamics numerical integration nonlinear vibration |
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