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The analysis and simulation for three-dimensional impact with friction

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Abstract

This paper presents a full discussion on how to formulate and evaluate the problem of spatial impact with friction in multibody systems. By considering that impact is experiencing a very short but finite time, we have established the differential equations of motion with normal impulse as a ‘time-like’ independent differential variable to describe the process of impact. A reliable numerical formulation, which can deal with the complex motions appearing in impact such as slip, stick and resumption of slip, has been developed by using difference schemes. The results indicate that the formulation and the numerical method presented in this paper can well solve the problems of 3D impact with friction by a comparison with the theoretical results existing in literature.

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Authors and Affiliations

  1. State Key Lab for Turbulence & Complex Systems and Department of Mechanics and Aerospace, College of Engineering, Peking University, Beijing, 100871, China

    Zhao Zhen & Caishan Liu

  2. Beijing Institute of Graphic Communication, Beijing, 102600, China

    Zhao Zhen

Authors
  1. Zhao Zhen
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  2. Caishan Liu
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Correspondence to Caishan Liu.

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Zhen, Z., Liu, C. The analysis and simulation for three-dimensional impact with friction. Multibody Syst Dyn 18, 511–530 (2007). https://doi.org/10.1007/s11044-007-9071-5

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  • DOI: https://doi.org/10.1007/s11044-007-9071-5

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