000015841 001__ 15841
000015841 005__ 20161115135331.0
000015841 04107 $$aeng
000015841 046__ $$k2013-06-12
000015841 100__ $$aKopacka, J.
000015841 24500 $$aStudies in Numerical Stability of Explicit Contact-Impact Algorithm To the Finite Element Solution of Wave Propagation Problems

000015841 24630 $$n34.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000015841 260__ $$bNational Technical University of Athens, 2013
000015841 506__ $$arestricted
000015841 520__ $$2eng$$aIn dynamic transient analysis, recent comprehensive studies have shown that using mass penalty together with standard stiffness penalty, the so-called bipenalty technique, preserves the critical time step in conditionally stable time integration schemes. In this paper, the bipenalty approach is applied in the explicit contact-impact algorithm based on the pre-discretization penalty formulation. The attention is focused on the stability of this algorithm. Specifically, the upper estimation of the stable Courant number on the stiffness and mass penalty is derived based on the simple dynamic system with two degrees-of-freedom. The results are verified by means of the dynamic Signorini problem, which is represented by the motion of a bar that comes into contact with a rigid obstacle.

000015841 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000015841 653__ $$aContact-impact, central difference method, stability, penalty method, bipenalty method.

000015841 7112_ $$aCOMPDYN 2013 - 4th International Thematic Conference$$cIsland of Kos (GR)$$d2013-06-12 / 2013-06-14$$gCOMPDYN2013
000015841 720__ $$aKopacka, J.$$iGabriel, D.$$iKolman, R.$$iPlesek, J.$$iUlbin, M.
000015841 8560_ $$ffischerc@itam.cas.cz
000015841 8564_ $$s280757$$uhttps://invenio.itam.cas.cz/record/15841/files/1542.pdf$$yOriginal version of the author's contribution as presented on CD, section: CD-MS 12 ADVANCES IN NUMERICAL METHODS FOR LINEAR AND NON-LINEAR DYNAMICS
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000015841 962__ $$r15525
000015841 980__ $$aPAPER