CORC  > 清华大学
Numerical solution of dry contact problem based on fast Fourier transform and conjugate gradient method
Wang Wenzhong ; Hu Yuanzhong ; Wang Hui
2010-05-10 ; 2010-05-10
关键词Practical Theoretical or Mathematical/ elastic deformation fast Fourier transforms mechanical contact quadratic programming rough surfaces/ dry contact problem fast Fourier transform FFT conjugate gradient method elastic contacts rough surfaces linear complementarity energy problem quadratic programming problem pressure distribution surface deformation elastic deformation wavy surface real engineering rough surfaces finite line contact numerical algorithm/ A6825 Mechanical and acoustical properties of solid surfaces and interfaces A6820 Solid surface structure A8140P Friction, lubrication, and wear A6220P Tribology A8140J Elasticity and anelasticity A6220D Elasticity, elastic constants A0230 Function theory, analysis E2140 Tribology (mechanical engineering) E0210C Mathematical analysis E0210L Numerical analysis
中文摘要In order to solve elastic contacts of rough surfaces, the problem is firstly formulated as a linear complementarity energy problem, and then converted into a quadratic programming problem with constrictions. A conjugate gradient method (CGM) is used to solve the pressure distribution, whose correct factor in conjugate gradient direction is specially optimized to improve the convergence. A fast Fourier transform (FFT) based method for calculation of surface deformation is used to speed up the calculation of elastic deformation, which takes much computation time. The algorithm efficiently overcomes the periodical error caused by FFT. Several cases are presented for point contacts including single asperity, wavy surface and real engineering rough surfaces, and also for finite line contact. It can be found that present numerical algorithm is very efficient, and has consistently convergent property for different rough surfaces and contact types; meantime, its accuracy little depends on the mesh density. It appears to be a useful tool for engineers.
语种中文 ; 中文
出版者Chinese J. Mech. Eng ; China
内容类型期刊论文
源URL[http://hdl.handle.net/123456789/24763]  
专题清华大学
推荐引用方式
GB/T 7714
Wang Wenzhong,Hu Yuanzhong,Wang Hui. Numerical solution of dry contact problem based on fast Fourier transform and conjugate gradient method[J],2010, 2010.
APA Wang Wenzhong,Hu Yuanzhong,&Wang Hui.(2010).Numerical solution of dry contact problem based on fast Fourier transform and conjugate gradient method..
MLA Wang Wenzhong,et al."Numerical solution of dry contact problem based on fast Fourier transform and conjugate gradient method".(2010).
个性服务
查看访问统计
相关权益政策
暂无数据
收藏/分享
所有评论 (0)
暂无评论
 

除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。


©版权所有 ©2017 CSpace - Powered by CSpace