Iteration framework for solving mixed lubrication computation problems

作     者：Shi CHEN Nian YIN Zhinan ZHANG Xiaojiang CAI Shi CHEN;Nian YIN;Xiaojiang CAI;Zhinan ZHANG

作者机构：State Key Laboratory of Mechanical System and VibrationShanghai Jiao Tong UniversityShanghai 200240China Shanghai Aerospace Control Technology InstituteShanghai 201109China Shanghai Key Laboratory of Aerospace Intelligent Control TechnologyShanghai 201109China 

出 版 物：《Frontiers of Mechanical Engineering》 (机械工程前沿（英文版）)

年 卷 期：2021年第16卷第3期

页      面：635-648页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：This study was financially supported by the National Natural Science Foundation of China(Grant No.U1637206) Shanghai Academy of Spaceflight Technology Projects(Grant Nos.SAST2017-079 and USCAST2019-25) the State Key Laboratory of Mechanical System and Vibration(Grant No.MSVZD201912) 

主　　题：mixed lubrication discretization formula relative error Reynolds equation asperity 

摘      要：The general discrete scheme of time-varying Reynolds equation loses the information of the previous step,which makes it unreasonable.A discretization formula of the Reynolds equation,which is based on the Crank-Nicolson method,is proposed considering the physical message of the previous ***-Seidel relaxation and distribution relaxation are adopted for the linear operators of pressure during the numerical solution *** addition to the convergent criteria of pressure distribution and load,an estimation framework is developed to investigate the relative error of the most important term in the Reynolds *** surface with frill contacts and mixed elastohydrodynamic lubrication is tested for *** asperity contact and sinusoidal wavy surface are examined by the proposed discrete *** show the precipitous decline in the boundary of the contact *** relative error suggests that the pressure distribution is reliable and reflects the accuracy and effectiveness of the developed method.