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Energy evolution in complex impacts with friction

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Abstract

In this paper, we base a theory established in an impulse-energy level to solve a problem of a disk-ball system, in which a moving ball collides perpendicularly against an disk staying on a horizontal surface. The impact process is an ensemble consisting of a point impact coupled with a line contact between bodies of the disk, the ball and the fixed horizontal surface. We experimentally and theoretically show that the post-impact states of the disk dramatically vary with the impacting position of the ball. Explanations are given by investigating the evolutions of the potential energies resided in the points involved in the complex frictional impacts. Good agreements between numerical and experimental results strongly suggest that the evolution of energy together with the dissipation must be reflected in mathematical models if a precise description for the post-impact state of systems is expected.

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Authors and Affiliations

  1. State Key Laboratory for Turbulence and Complex Systems, College of Engineering, Peking University, Beijing, 100871, China

    HongJian Zhang & CaiShan Liu

  2. School of Aeronautic Science and Engineering, Beihang University, Beijing, 100191, China

    Zhen Zhao

  3. INRIA, BIPOP project-team, ZIRST Montbonnot, 655 avenue de l’Europe, Saint Ismier, 38334, France

    Bernard Brogliato

Authors
  1. HongJian Zhang
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  2. CaiShan Liu
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  3. Zhen Zhao
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  4. Bernard Brogliato
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Correspondence to CaiShan Liu.

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Zhang, H., Liu, C., Zhao, Z. et al. Energy evolution in complex impacts with friction. Sci. China Phys. Mech. Astron. 56, 875–881 (2013). https://doi.org/10.1007/s11433-013-5061-1

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  • DOI: https://doi.org/10.1007/s11433-013-5061-1

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