滑动轴承-转子系统Riccati-Newmark加速度传递矩阵法

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摘要为克服传递矩阵法数值不稳定及非线性瞬态响应分析中滑动轴承矩阵建立困难问题，提出Riccati-Newmark加速度传递矩阵法。借助Newmark加速度法建立传递矩阵，采用Taylor级数预估滑动轴承轴心下一时刻位移、速度建立滑动轴承矩阵；据边界条件用Riccati传递矩阵法求滑动轴承-转子系统非线性瞬态响应，提高数值稳定性。以单圆盘转子系统为例，与传统轴颈下一时刻位移、速度近似线性扰动处理的瞬态响应对比分析，验证此方法的有效性；讨论不同转速下线性、非线性油膜力的瞬态轨迹。

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	毛文贵1
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	韩旭1
	刘桂萍1

关键词 ：非线性转子系统, 瞬态响应, Newmark加速度法, Riccati传递矩阵法

Abstract：In order to eliminate the numerical instability of transfer matrix method and building transfer matrix of nonlinear elements( bearings), This paper extends the Riccati transfer matrix method to the transient analysis of nonlinear rotor-bearing systems，in which, firstly the transfer matrix is obtained with the aid of the Newmark acceleration formulation，secondly, the deflections and velocities of the stations containing nonlinear element (bearings) are predicted by Taylor series，finally, the deflections，velocities and accelerations of all stations are solved by Riccati-Newmark Transfer Matri-Acceleration Formulation Integration Method according to the boundary conditions. An example is given, compared with transient analysis considering linear perturbation and linear oil film force, the effectiveness of proposed method is verified.

Key words： nonlinear rotor systems transient response Newmark acceleration method riccati transfer matrix method

收稿日期: 2014-08-07 出版日期: 2015-10-25

引用本文:

毛文贵1,2，韩旭1，刘桂萍1. 滑动轴承-转子系统Riccati-Newmark加速度传递矩阵法[J]. 振动与冲击, 2015, 34(20): 80-84.
MAO Wen-gui1, 2，HAN Xu1，LIU Gui-ping1 . Riccati-Newmark transfer matri-acceleration formulation integration method for sliding bearings and rotor system. JOURNAL OF VIBRATION AND SHOCK, 2015, 34(20): 80-84.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2015/V34/I20/80

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