Iteration framework for solving mixed lubrication computation problems  

作　　者：Shi CHEN Nian YIN Zhinan ZHANG Xiaojiang CAI 

机构地区：[1]State Key Laboratory of Mechanical System and Vibration,Shanghai Jiao Tong University,Shanghai 200240,China [2]Shanghai Aerospace Control Technology Institute,Shanghai 201109,China [3]Shanghai Key Laboratory of Aerospace Intelligent Control Technology,Shanghai 201109,China

出　　处：《Frontiers of Mechanical Engineering》2021年第3期635-648,共14页机械工程前沿（英文版）

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).

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 step.Gauss-Seidel relaxation and distribution relaxation are adopted for the linear operators of pressure during the numerical solution procedure.In 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 equation.Smooth surface with frill contacts and mixed elastohydrodynamic lubrication is tested for validation.The asperity contact and sinusoidal wavy surface are examined by the proposed discrete scheme.Results show the precipitous decline in the boundary of the contact area.The relative error suggests that the pressure distribution is reliable and reflects the accuracy and effectiveness of the developed method.

关 键 词：mixed lubrication discretization formula relative error Reynolds equation ASPERITY 

分 类 号：O17[理学—数学]