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Sliding state stepping algorithm for solving impact problems of multi-rigid-body system with joint friction

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Abstract

Abstract Impact dynamics of multi-rigid-body systems with joint friction is considered. Based on the traditional approximate assumption dealing with impact problem, a general numerical method called the sliding state stepping algorithm is introduced. This method can avoid difficulties in solving differential equations with variable scale and its result can avoid energy inconsistency before and after impact from considering complexily of tangential sliding mode. An example is given to describe details using this algorithm.

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Authors and Affiliations

  1. School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai, 200092, P. R. China

    Yao Wen-li  (姚文莉) & Xu Jian  (徐鉴)

  2. College of Science, Shandong University of Science and Technology, Qingdao, 266510, Shandong Province, P. R. China

    Yao Wen-li  (姚文莉)

  3. Department of Mechanics and Engineering, Peking University, Beijing, 100871, P. R. China

    Chen Bin  (陈滨) & Liu Cai-shan  (刘才山)

Authors
  1. Yao Wen-li  (姚文莉)
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  2. Chen Bin  (陈滨)
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  3. Liu Cai-shan  (刘才山)
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  4. Xu Jian  (徐鉴)
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Corresponding author

Correspondence to Yao Wen-li  (姚文莉).

Additional information

Communicated by YE Qing-kai

Project supported by the National Natural Science Foundation of China (No. 10532050), the National Science Fund for Distinguished Young Scholars (No. 10625211), and the Science Development Foundation of Shandong University of Science and Techonogy (No. 05g017)

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Yao, Wl., Chen, B., Liu, Cs. et al. Sliding state stepping algorithm for solving impact problems of multi-rigid-body system with joint friction. Appl. Math. Mech.-Engl. Ed. 28, 1621–1627 (2007). https://doi.org/10.1007/s10483-007-1209-x

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  • DOI: https://doi.org/10.1007/s10483-007-1209-x

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2000 Mathematics Subject Classification

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