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Dynamics of impacts with a table moving with piecewise constant velocity

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Abstract

Dynamics of a ball moving in gravitational field and colliding with a moving table is considered. The motion of the limiter is assumed as periodic with piecewise constant velocity. It is assumed that the table moves up with a constant velocity and then goes down with another constant velocity. The Poincaré map describing evolution from an impact to the next impact is derived. Several classes of solutions are computed in analytical form.

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Authors and Affiliations

  1. Politechnika Świętokrzyska, Al. 1000-lecia PP 7, 25-314, Kielce, Poland

    Andrzej Okniński & Bogusław Radziszewski

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  1. Andrzej Okniński
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  2. Bogusław Radziszewski
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Correspondence to Andrzej Okniński.

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Okniński, A., Radziszewski, B. Dynamics of impacts with a table moving with piecewise constant velocity. Nonlinear Dyn 58, 515–523 (2009). https://doi.org/10.1007/s11071-009-9497-9

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