Riccati-Newmark transfer matri-acceleration formulation integration method for sliding bearings and rotor system

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Journal of Vibration and Shock ›› 2015, Vol. 34 ›› Issue (20) : 80-84.

MAO Wen-gui1, 2，HAN Xu1，LIU Gui-ping1

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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.

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nonlinear rotor systems / transient response / Newmark acceleration method / riccati transfer matrix method

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MAO Wen-gui1, 2，HAN Xu1，LIU Gui-ping1 . Riccati-Newmark transfer matri-acceleration formulation integration method for sliding bearings and rotor system[J]. Journal of Vibration and Shock, 2015, 34(20): 80-84

References

[1] 何成兵,顾煜炯.增量传递矩阵法及其在轴系弯扭耦合振动中的应用[J]. 振动工程学报,2006,19(2):119-226.
HE Cheng-bing,GU Yu-jiong.Increment transfer matrix
method and its application in the coupled flexural and
torsional vibrations analysis[J]. Journal of Vibration
Engineering, 2006, 19(2):119-226.
[2] 高浩鹏,黄映云,刘鹏.引入传递矩阵法的复杂多体系统连接件建模方法研究[J].振动与冲击,2012,31(6):52-55.
GAO Hao-peng,HUANG Ying-yun,LIU Peng. Modeling of linkers in complex multibody system with transfer matrix method[J].Journal of Vibration and Shock,2012,31(6):52- 55.
[3] 李苹,窦海波,王正.水轮发电机组主轴系统的建模及非线性瞬态响应[J].清华大学学报:自然科学版,1998,38(6)：123-128.
LI Ping,DOU Hai-bo,WANG Zheng. Modeling for rotor- bearing system of hydroelectric machines and its non-linear transient response[J].Journal of Tsinghua University: Sci. &Tech.,1998,38(6):123-128.
[4] Liu H P, Xu H, Ellison P J,et al.Application of computa- tional fluid dynamica and fluid-structure interaction method to the lubrication study of a rotor-bearing system[J].Tribol Letters,2012,38(3):325-336.
[5] Li qiang,Yu gui-chang,Liu shu-lian. Application of computational fluid dynamics and fluid structure interaction techniques for calculating the 3D transient flow of journal bearings coupled with rotor systems[J].Chinese Journal of Mechanical Engineering,2013,25(5):926-931.
[6] 顾致平,刘永寿.非线性转子系统中的传递矩阵技术[M].北京:科学出版社, 2010.
[7]王正. Riccati传递矩阵法的奇点及其消除方法[J]. 振动与冲击, 1987,6(2): 74-78.
WANG Zhen. Singular point and elimination method of riccati transfer matrix method[J]. Journal of Vibration and Shock, 1987,6 (2):74-78.
[8] 徐斌. Matlab有限元结构动力学分析与工程应用[M].北京:清华大学出版社, 2010.
[9] 闻邦椿,顾家柳,夏松波,等. 高等转子动力学[M]. 北京：机械工业出版社, 2000.
[10] 毛文贵,刘桂萍,韩旭,等.一种高效的电主轴系统复频率计算方法[J].振动与冲击,2014,33(19):164-168.
MAO Wen-gui,LIU Gui-ping,HAN Xu,et al.An efficent method for calculating complex frequency of a motorized spindle[J].Journal of Vibration and Shock, 2014, 33(19): 164-168.