000013667 001__ 13667
000013667 005__ 20161114170127.0
000013667 04107 $$aeng
000013667 046__ $$k2011-05-25
000013667 100__ $$aHetherington, J.
000013667 24500 $$aControlling the Critical Time Step with the Bi-Penalty Method

000013667 24630 $$n3.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000013667 260__ $$bNational Technical University of Athens, 2011
000013667 506__ $$arestricted
000013667 520__ $$2eng$$aPenalty functions are a popular tool to add constraints to a system of equations, such as for instance Dirichlet boundary conditions or setting a relation between different degrees of freedom. Although implementation of the penalty method is simple, the commonly used stiffnesstype penalties have a drawback in dynamics in that they increase the speed of sound locally. Thus, in conditionally stable time integration schemes the critical time step is lowered (often by orders of magnitude) if stiffness penalties are used. As an alternative, one may use inertia penalties that lower the speed of sound and therefore increase the critical time step, but in this paper we suggest the simultaneous use of stiffness and inertia penalties, which is called the bipenalty method. In the bi-penalty method the relative magnitudes of stiffness penalty and inertia penalty can be tuned so that the net effect on the critical time step is neutral, thereby removing a major disadvantage of stiffness-type penalty methods.

000013667 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000013667 653__ $$apenalty functions, critical time step, explicit dynamics, time integration.

000013667 7112_ $$aCOMPDYN 2011 - 3rd International Thematic Conference$$cIsland of Corfu (GR)$$d2011-05-25 / 2011-05-28$$gCOMPDYN2011
000013667 720__ $$aHetherington, J.$$iRodriguez-Ferran, A.$$iAskes, H.
000013667 8560_ $$ffischerc@itam.cas.cz
000013667 8564_ $$s75963$$uhttp://invenio.itam.cas.cz/record/13667/files/470.pdf$$yOriginal version of the author's contribution as presented on CD, section: RS 19 Solution Algorithms and Reduced Order Methods.
000013667 962__ $$r13401
000013667 980__ $$aPAPER