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). |
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