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求非线性转子-轴承系统周期响应的一种计算方法
A Method for Periodic Response of Nonlinear Rotor-Bearing Systems
【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。
【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.
【基金】 国家自然科学基金
- 【文献出处】 应用力学学报 ,CHINESE JOURNAL OF APPLIED MECHANICS , 编辑部邮箱 ,1995年03期
- 【分类号】O322
- 【被引频次】10
- 【下载频次】132