000015701 001__ 15701
000015701 005__ 20161115135327.0
000015701 04107 $$aeng
000015701 046__ $$k2013-06-12
000015701 100__ $$aTkachuk, A.
000015701 24500 $$aApplications of Variationally Consistent Selective Mass Scaling in Explicit Dynamics

000015701 24630 $$n34.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000015701 260__ $$bNational Technical University of Athens, 2013
000015701 506__ $$arestricted
000015701 520__ $$2eng$$aThe aim of Selective Mass Scaling (SMS) in context of non-linear structural mechanics is to increase the critical time-step for explicit time integration without substantial loss in accuracy in the lower modes. The Conventional Mass Scaling (CMS) adds artificial mass only to diagonal terms of the lumped mass matrix and thus preserves diagonal format of mass matrix. It is usually applied in little number of small or stiff elements, like spot-welds in car crash, whose high eigenfrequencies limit time-step. However, translational and rotational inertia of the structure increases, which may cause non-physical phenomena. SMS technique adds artificial terms both to diagonal and non-diagonal terms, which results in non-diagonal mass matrix, but at least allows preservation of translational mass. Thus SMS can be used uniformly in domain with less non-physical artifacts. The previous works on SMS rely on algebraically constructed mass scaling matrices or stiffness proportional mass scaling. These approaches provide very small choice of mass scaling templates and they lack rigorous variational formulation. The goal of this paper is to develop variational basis for SMS with consistent discretization of inertial term and to assess efficiency of the proposed approach.

000015701 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000015701 653__ $$aSelective mass scaling, Hamilton’s principle, explicit dynamics, hybrid-mixed.

000015701 7112_ $$aCOMPDYN 2013 - 4th International Thematic Conference$$cIsland of Kos (GR)$$d2013-06-12 / 2013-06-14$$gCOMPDYN2013
000015701 720__ $$aTkachuk, A.$$iBischoff, M.
000015701 8560_ $$ffischerc@itam.cas.cz
000015701 8564_ $$s408573$$uhttps://invenio.itam.cas.cz/record/15701/files/1289.pdf$$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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000015701 962__ $$r15525
000015701 980__ $$aPAPER