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On the Dynamic Contact Problem for a Viscoelastic Plate

[+] Author Affiliations
Igor Bock

Slovak University of Technology Bratislava, Bratislava, Slovak Republic

Paper No. ESDA2010-24130, pp. 35-41; 7 pages
doi:10.1115/ESDA2010-24130
From:
  • ASME 2010 10th Biennial Conference on Engineering Systems Design and Analysis
  • ASME 2010 10th Biennial Conference on Engineering Systems Design and Analysis, Volume 5
  • Istanbul, Turkey, July 12–14, 2010
  • Conference Sponsors: International
  • ISBN: 978-0-7918-4919-4 | eISBN: 978-0-7918-3877-8
  • Copyright © 2010 by ASME

abstract

We deal with an initial-boundary value problem describing the perpendicular vibrations of an anisotropic viscoelastic plate free on its boundary and with a rigid inner obstacle. A weak formulation of the problem is in the form of the hyperbolic variational inequality. We solve the problem using the discretizing the time variable. The elliptic variational inequalities for every time level are uniquely solved. We derive the a priori estimates and the convergence of the sequence of segment line functions to a variational solution of the considered problem.

Copyright © 2010 by ASME
Topics: Vibration , Functions

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