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Mathematical Programming Solution for the Frictional Contact Multipole BEM

Chunxiao YU, Guangxian SHEN†( ), Deyi LIU†
College of Science, Yanshan University, Qinhuangdao 066004, China
College of Mechanical Engineering, Yanshan University, Qinhuangdao 066004, China
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Abstract

This paper presents a new mathematical model for the highly nonlinear problem of frictional contact. A programming model, multipole boundary element method (BEM), was developed for 3-D elastic contact with friction to replace the Monte Carlo method. A numerical example shows that the optimization programming model for the point-to-surface contact with friction and the fast optimization generalized minimal residual algorithm (GMRES(m)) significantly improve the analysis of such problems relative to the conventional BEM.

Keywords

nonlinear programminggeneralized minimal residual algorithm (GMRES(m))point-to-surface contactmultipole boundary element method

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Tsinghua Science and Technology
Volume 10 Issue 1,
February 2005
Pages 51-56
DOI: 10.1016/S1007-0214(05)70008-0

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Cite this article:
YU C, SHEN G, LIU D. Mathematical Programming Solution for the Frictional Contact Multipole BEM. Tsinghua Science and Technology, 2005, 10(1): 51-56. https://doi.org/10.1016/S1007-0214(05)70008-0

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Received: 10 August 2004
Revised: 31 August 2004
Published: 01 February 2005
© Tsinghua University Press 2005