000013528 001__ 13528
000013528 005__ 20161114165753.0
000013528 04107 $$aeng
000013528 046__ $$k2011-05-25
000013528 100__ $$aSaksala, T.
000013528 24500 $$aImpact Modeling by Manifold Approach in Explicit Transient Dynamics

000013528 24630 $$n3.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000013528 260__ $$bNational Technical University of Athens, 2011
000013528 506__ $$arestricted
000013528 520__ $$2eng$$aIn this paper we study numerically different methods to impose contact constraints in explicit dynamics. The traditional methods, the penalty method and the more recent forward increment Lagrange multiplier method, are compared, in their performance and accuracy, to a direct elimination method based on the theory of manifolds. The idea of the method is that when a contact constraint is active the solution lies on the boundary of the contact manifold generated by contact constraints. Then the contact problem can be solved with the elimination of additional degrees of freedom. This elimination technique can be viewed as a parameterization of the contact manifold. We show numerically that in the case of a rigid impactor, the elimination method is highly more efficient than the forward Lagrange multiplier method since the latter leads to a coupled system of equations for solving the Lagrange multipliers while both methods produce similar results. In the present work the elimination method is also developed for the impact problem of deformable bodies and the performance of the different methods are compared in numerical simulations of the longitudinal impact of thick bars. The modified Euler method is employed in solving the equations of motion in time.

000013528 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000013528 653__ $$aExplicit dynamics, Contact mechanics, Lagrange multiplier method, Penalty method, Constraint manifold.

000013528 7112_ $$aCOMPDYN 2011 - 3rd International Thematic Conference$$cIsland of Corfu (GR)$$d2011-05-25 / 2011-05-28$$gCOMPDYN2011
000013528 720__ $$aSaksala, T.$$iMakinen, J.
000013528 8560_ $$ffischerc@itam.cas.cz
000013528 8564_ $$s340295$$uhttps://invenio.itam.cas.cz/record/13528/files/240.pdf$$yOriginal version of the author's contribution as presented on CD, section: MS 04 Advances in Numerical Methods for Linear and Nonlinear Dynamics.
000013528 962__ $$r13401
000013528 980__ $$aPAPER