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Dynamic contact problem for a bridge modeled by a viscoelastic full von Kármán system

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Abstract

The existence of solutions is proved for a full system of dynamic von Kármán equations expressing vibrations of geometrically nonlinear viscoelastic plate, the viscosity of which has the character of a short memory. The system models the behaviour of a bridge. The in-plane acceleration terms are taken into account. The boundary contact conditions for plane displacements and possibly the contact with the rigid support are considered.

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Authors and Affiliations

  1. Department of Mathematics, FEI Slovak University of Technology, Ilkovičova 3, 812 19, Bratislava 1, Slovak Republic

    I. Bock

  2. Institute of Mathematics, Academy of Sciences of the Czech Republic, Žitná 25, 115 67, Praha 1, Czech Republic

    J. Jarušek

Authors
  1. I. Bock
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  2. J. Jarušek
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Correspondence to I. Bock.

Additional information

The work presented here was partially supported by the Czech Academy of Sciences under grant IAA 100750802 and under the Institutional research plan AVOZ 10190503 and by the Ministry of Education of Slovak Republic under VEGA grant 1/0021/10.

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Bock, I., Jarušek, J. Dynamic contact problem for a bridge modeled by a viscoelastic full von Kármán system. Z. Angew. Math. Phys. 61, 865–876 (2010). https://doi.org/10.1007/s00033-010-0066-3

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  • DOI: https://doi.org/10.1007/s00033-010-0066-3

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