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A linear finite element approach to the solution of the variational inequalities arising in contact problems of structural dynamics
Author(s) -
Talaslidis D.,
Panagiotopoulos P. D.
Publication year - 1982
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620181006
Subject(s) - discretization , unilateral contact , mathematics , variational inequality , finite element method , nonlinear system , dynamic problem , element (criminal law) , mathematical analysis , space (punctuation) , dynamics (music) , mathematical optimization , computer science , physics , structural engineering , engineering , quantum mechanics , political science , law , acoustics , operating system
The present paper deals with the theoretical and numerical treatment of dynamic unilateral problems. The governing equations are formulated as an equivalent variational inequality expressing D' Alembert's principle in its inequality form. The discretization with respect to time and space leads to a static nonlinear programming problem which is solved by an appropriate algorithm. Some properties of dynamic unilateral problems are outlined and the influence of several parameters on the solution is investigated by means of numerical examples.