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Abstract: In
order to solve elastic contacts of rough surfaces, the problem is
firstly formulated as a linear complement arity 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.
Key words: Dry
contact Linear complementarity energy Elastic deformation Fast
Fourier transform Conjugate gradient method
CLC No: TG156
国家自然科学基金(50135040)、中国博士后科学基金(2004035312)和清华—中大博士后基金资助项目.Received
20050607, received in revised form 20060114
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