The control variational method for contact of Euler− Bernoulli beams

Authors

  • M. Sofonea Universite de Perpignan, France
  • D. Tiba Institute of Mathematics, Romanian Academy, Romania

Keywords:

Euler-Bernoulli beam, Signorini’s condition, normal compliance, control variational method, optimal state

Abstract

We consider two static problems of contact between an elastic beam and an obstacle, the so-called foundation. The contact is modeled with normal compliance and the Signorini unilateral conditions, respectively. We state the variational formulation of the problems, then we analyze them via the control variational method. As a result, we obtain existence, uniqueness, and regularity results.

Author Biographies

M. Sofonea, Universite de Perpignan, France

Laboratoire LAMPS
The first author was supported by CNRS, France, under the LEA Math-Mode program 

D. Tiba, Institute of Mathematics, Romanian Academy, Romania

The second author was supported by CNCSIS, Romania, grant ID-PCE 1192-09

Downloads

Published

2009-12-15

Issue

Vol. 2(51) (2009)

Section

MATHEMATICS, INFORMATICS, PHYSICS