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Dynamic contact problem for a bridge modeled by a viscoelastic full von Kármán system
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SYSNO ASEP 0348169 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Dynamic contact problem for a bridge modeled by a viscoelastic full von Kármán system Author(s) Bock, I. (SK)
Jarušek, Jiří (MU-W) RID, ORCID, SAISource Title Zeitschrift für angewandte Mathematik und Physik. - : Springer - ISSN 0044-2275
Roč. 61, č. 5 (2010), s. 865-876Number of pages 12 s. Language eng - English Country CH - Switzerland Keywords full von Kármán system ; nonlinear plate vibrations ; unilateral dynamic boundary contact ; unilateral domain contact ; short memory ; existence of solutions ; penalization of contact condition Subject RIV BA - General Mathematics R&D Projects IAA100750802 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000282177100007 EID SCOPUS 77957114290 DOI 10.1007/s00033-010-0066-3 Annotation 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2011
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