A Dynamic Frictional Contact Problem of a Viscoelastic Beam

M. Campo (), J.R. Fernández (), G.E. Stavroulakis () and J.M. Viaño ()
Additional contact information
M. Campo: Universidade de Santiago de Compostela. Facultade de Matemáticas, Departamento de Matemática Aplicada
J.R. Fernández: Universidade de Santiago de Compostela. Facultade de Matemáticas, Departamento de Matemática Aplicada
G.E. Stavroulakis: Technical University of Crete, Department of Production Engineering and Management
J.M. Viaño: Universidade de Santiago de Compostela. Facultade de Matemáticas, Departamento de Matemática Aplicada

A chapter in Numerical Mathematics and Advanced Applications, 2006, pp 1091-1098 from Springer

Abstract: Abstract We study the dynamic frictional contact of a viscoelastic beam with a deformable obstacle. The left end of the beam is rigidly attached and the horizontal movement of the right one is constrained because of the presence of a deformable obstacle. The effect of the friction is included in the vertical motion of the free end, by using Tresca’s law or Coulomb’s law.We recall an existence and uniqueness result. Then, by using the finite element method to approximate the spatial variable and an Euler scheme to discretize the time derivatives, a numerical scheme is proposed. Error estimates are derived on the approximative solutions. Finally, some numerical results are shown.

Date: 2006
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-34288-5_109

Ordering information: This item can be ordered from
http://www.springer.com/9783540342885

DOI: 10.1007/978-3-540-34288-5_109

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().