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

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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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Correspondence to I. Bock.

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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).

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