ANALYSIS OF CONTACT PROBLEM USING IMPROVED FAST MULTIPOLE BEM WITH VARIABLE ELEMENTS LENGTH THEORY

Authors

Hai-Lian Gui, Material Science & Engineering Science College, Taiyuan University of Science and Technology, Taiyuan, P.R. ChinaFollow
Qiang Li, Technology Center, Taiyuan Heavy Industry CO. LTD., Taiyuan, P.R. China
Qing-Xue Huang, Material Science & Engineering Science College, Taiyuan University of Science and Technology, Taiyuan, P.R. China
Guang-Xian Shen, College of Mechanical Engineering, Yanshan University, Qinhuangdao, P.R. China.

Abstract

This paper introduces a variable elements length theory to solve the change of contact area in contact problems. It avoids recalculating the whole coefficient matrix. In this theory, element length is changed instead of element number in contact boundary problem. This measure keeps the contact area unchanged and saves computing time. The iterative process is discussed and the error estimate is given. Fast multipole boundary element method (FM-BEM) is improved by the variable elements length theory. The improved FM-BEM is used to solve the contact problems of cubes and strip cold rolling process. The results of improved FM-BEM are compared with the results of traditional FM-BEM and experimental data. Numerical examples clearly demonstrate that the calculation time and accuracy are improved by the improved FM-BEM. This method is suitable for solving contact problems and precision engineering problems.

Recommended Citation

Gui, Hai-Lian; Li, Qiang; Huang, Qing-Xue; and Shen, Guang-Xian (2013) "ANALYSIS OF CONTACT PROBLEM USING IMPROVED FAST MULTIPOLE BEM WITH VARIABLE ELEMENTS LENGTH THEORY," Journal of Marine Science and Technology: Vol. 21: Iss. 1, Article 1.
DOI: 10.6119/JMST-010-0317-1
Available at: https://jmstt.ntou.edu.tw/journal/vol21/iss1/1