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On the rigid body displacements and rotations in unilateral contact problems and applications

Stavroulakis Georgios, A.M. Al-Fahed, P.D. Panagiotopoulos

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URIhttp://purl.tuc.gr/dl/dias/59382880-ED64-443C-ABFE-89C00F696293-
Αναγνωριστικόhttps://doi.org/10.1016/0045-7949(91)90229-F-
Γλώσσαen-
Μέγεθος15 pagesen
ΤίτλοςOn the rigid body displacements and rotations in unilateral contact problems and applicationsen
ΔημιουργόςStavroulakis Georgiosen
ΔημιουργόςΣταυρουλακης Γεωργιοςel
Δημιουργός A.M. Al-Faheden
Δημιουργός P.D. Panagiotopoulosen
ΕκδότηςElsevieren
ΠερίληψηThis paper deals with the treatment of rigid body displacements and rotations in unilateral contact problems. In the presence of rigid body modes the equivalent formulations of the problem, i.e. the variational inequality, the quadratic programming and the linear complementarity formulation involve positive semidefinite matrices. The basic differences from the classical bilateral problems is that in unilateral problems the rigid body modes must be compatible with the inequality constraints. This is a fairly difficult problem to solve and in its generality was open until now. In this paper a systematic analysis including convergence results is presented with respect to some methods already in use, namely the method of coupling with additional elastic bodies or ‘soft’ springs and the method of consideration of certain nodes as fixed. Moreover a new linear complementarity formulation of the problem which explicitly includes the rigid body ‘displacements’ is proposed and is numerically treated by a complementary pivoting technique. Necessary and sufficient conditions for the solution of the problem are derived and the theory is illustrated by examples from structural analysis and from robotics.en
ΤύποςPeer-Reviewed Journal Publicationen
ΤύποςΔημοσίευση σε Περιοδικό με Κριτέςel
Άδεια Χρήσηςhttp://creativecommons.org/licenses/by/4.0/en
Ημερομηνία2015-10-11-
Ημερομηνία Δημοσίευσης1991-
Βιβλιογραφική ΑναφοράG.E. Stavroulakis, P.D. Panagiotopoulos†, A.M. Al-Fahed ," On the rigid body displacements and rotations in unilateral contact problems and applications ,"Comp. and Struc.,vol. 40, no. 3, pp.599–614,1991.doi:10.1016/0045-7949(91)90229-Fen

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