一种简化雷诺方程的数值求解方法.pdfVIP

2006 27 2 ( ) Vol.27No.22006 ( 106 ) JOURNAL OF NORTH UNIVERSITY OF CHINA( NATURAL SCIENCE EDITION) (Sum No. 106) : 1673-3193(2006) 02-0165-03 1 2 刘素梅 , 刘惠梅 ( 1. , 030024; 2. , 030024) : (Reynolds) . , , , , . , , , . : ; ; : O241: A A Method for Simplifyin the Process of Solvin Reynolds Equation 1 2 IU Su-mei , IU Hui-mei ( 1. School of Applied Sciences, Taiyuan U niversity of Science and Technology, Taiyuan 030024, China; 2. School of Sciences, Taiyuan U niversity of Technology, Taiyuan 030024, China) Abstract Reynolds equation is the one for controlling liquid lubrication pressure By employing finite: . difference method and by choosing over-relaxation factor and iterative accuracy, the authors have pro- posed successive over relaxation ( SOR) method for solving Reynolds equation. Application of the method to calculating the pressure distribution of radial bushing bearing helps to illustrate the approach- - . es for determining the over relaxation factor and iterative accuracy On the bases of guaranteeing equa- - , , , tion solving accuracy the SOR method has been proved to be of rapid convergence good stability and less calculation. Key words: Reynolds equation; successive over relaxation; finite difference method 1 , , , 5 3 5p 5 3 5 p 5 h 5 x (h 5 x ) + 5z (h 5z ) = 6uL 5 x , ( 1) p , p = p (x ,z ) ; L ; h , h= h(x ) ; u . ( 1) , ( 2) , .