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

0348169 - MÚ 2011 RIV CH eng J - Journal Article
Bock, I. - Jarušek, Jiří
Dynamic contact problem for a bridge modeled by a viscoelastic full von Kármán system.
Zeitschrift für angewandte Mathematik und Physik. Roč. 61, č. 5 (2010), s. 865-876. ISSN 0044-2275. E-ISSN 1420-9039
R&D Projects: GA AV ČR IAA100750802
Institutional research plan: CEZ:AV0Z10190503
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
Impact factor: 1.290, year: 2010
http://link.springer.com/article/10.1007%2Fs00033-010-0066-3

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.
Permanent Link: http://hdl.handle.net/11104/0188767