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On oblique impact of a rigid rod against a Winkler foundation

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Abstract

A simplified model of a rigid rod obliquely projected against an elastic wall is studied. The wall is a Winkler substrate, and the motion is assumed planar. Gravitational and frictional effects are ignored. Properties of the motion during impact are derived mainly by application of inequalities and demonstrate that, for example, the time of impact and depth of penetration vary inversely as powers of the foundation’s elastic coefficient.

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Authors and Affiliations

  1. The Maxwell Institute of Mathematical Sciences and the School of Mathematical and Computer Sciences, Heriot-Watt University, Edinburgh, EH14 4AS, UK

    R. J. Knops

  2. Dipartimento di Ingegneria Strutturale, Universitá di Pisa, Via Diotisalvi, 2, 56126, Pisa, Italy

    Piero Villaggio

Authors
  1. R. J. Knops
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  2. Piero Villaggio
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Correspondence to R. J. Knops.

Additional information

Communicated by Wolfgang H. Müller.

Dedicated to Professor Ingo Müller on his 75th birthday.

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Knops, R.J., Villaggio, P. On oblique impact of a rigid rod against a Winkler foundation. Continuum Mech. Thermodyn. 24, 559–582 (2012). https://doi.org/10.1007/s00161-011-0227-4

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  • DOI: https://doi.org/10.1007/s00161-011-0227-4

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