王丽萍, 刘大全, 张文, 郑铁生. 求滑动轴承非线性油膜力的加权有限元方法[J]. 工程力学, 2006, 23(5): 163-167,.
引用本文: 王丽萍, 刘大全, 张文, 郑铁生. 求滑动轴承非线性油膜力的加权有限元方法[J]. 工程力学, 2006, 23(5): 163-167,.
WANG Li-ping, LIU Da-quan, ZHANG Wen, ZHENG Tie-sheng. WEIGHTED FINITE ELEMENT METHOD FOR COMPUTING NONLINEAR OIL-FILM FORCES IN JOURNAL BEARING[J]. Engineering Mechanics, 2006, 23(5): 163-167,.
Citation: WANG Li-ping, LIU Da-quan, ZHANG Wen, ZHENG Tie-sheng. WEIGHTED FINITE ELEMENT METHOD FOR COMPUTING NONLINEAR OIL-FILM FORCES IN JOURNAL BEARING[J]. Engineering Mechanics, 2006, 23(5): 163-167,.

求滑动轴承非线性油膜力的加权有限元方法

WEIGHTED FINITE ELEMENT METHOD FOR COMPUTING NONLINEAR OIL-FILM FORCES IN JOURNAL BEARING

  • 摘要: 基于流体润滑的变分不等方程理论,提出加权有限元方法求滑动轴承非线性油膜力.选择了适当的权函数后,可用一维单元来逼近二维问题,且极少的单元划分即可达到相当高精度.采用一维线性元离散化的系数矩阵为对称三对角阵,可通过修正的追赶法,无需迭代直接求得满足离散变分不等方程的解.计算结果表明,与二维有限元方法相比,算法可达到千分位精度,而计算时间大为缩短.

     

    Abstract: Based on the variational inequality theory of hydrodynamic lubrication,this paper presents a fast method to calculate the oil-film forces of journal bearings with the Reynolds boundary condition.Chosen a felicitous weighting function,two-dimensional questions could be interpolated by one-dimensional elements with high accuracy.The method gives the coefficient matrix in tri-diagonal form and then discrete variational inequalities are solved by a direct method.Numerical examples show that the results of this method agree well with those of the oil-film force model computed by the two-dimensional finite element method,and that significant computing time is saved.This low time-consuming method can be used to analyze the nonlinear dynamics of the rotor-bearing system.

     

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