000013166 001__ 13166
000013166 005__ 20161114160330.0
000013166 04107 $$aeng
000013166 046__ $$k2009-06-22
000013166 100__ $$aPanagiotopoulos C., G.
000013166 24500 $$aCritical assessment of penalty-type methods for imposition of time-dependent boundary conditions in fem formulations for elastodynamics

000013166 24630 $$n2.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000013166 260__ $$bNational Technical University of Athens, 2009
000013166 506__ $$arestricted
000013166 520__ $$2eng$$aIn a recent work the authors proposed a methodology which avoiding ad hoc procedures and applicable to both linear as well as nonlinear problems, provides a variationallyconsistent way of incorporation of time-dependent boundary conditions in problems of elastodynamics. More specifically, an integral formulation of the elastodynamic problem serves as a basis for the imposition of the corresponding constraints which are enforced via the consistent form of the penalty method, e.g., a form that complies with the norm and inner product of the functional space where the weak formulation is mathematically posed. In that paper [1] it is shown that well known and broadly implemented modelling techniques in the finite element method such as ”large mass” and ”large spring” techniques arise as limiting cases of this penalty formulation. In this work we examine the performance and the characteristics of such methods through simple since qualitative examples.

000013166 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000013166 653__ $$atime dependent boundary conditions, elastodynamics, penalty method, large mass method, large spring method Abstract. In a recent work the authors proposed a methodology which avoiding ad hoc procedures and applicable to both linear as well as nonlinear problems, provides a variationallyconsistent way of incorporation of time-dependent boundary conditions in problems of elastodynamics. More specifically, an integral formulation of the elastodynamic problem serves as a basis for the imposition of the corresponding constraints which are enforced via the consistent form of the penalty method, e.g., a form that complies with the norm and inner product of the functional space where the weak formulation is mathematically posed. In that paper [1] it is shown that well known and broadly implemented modelling techniques in the finite element method such as ”large mass” and ”large spring” techniques arise as limiting cases of this penalty formulation. In this work we examine the performance and the characteristics of such methods through simple since qualitative examples.

000013166 7112_ $$aCOMPDYN 2009 - 2nd International Thematic Conference$$cIsland of Rhodes (GR)$$d2009-06-22 / 2009-06-24$$gCOMPDYN2009
000013166 720__ $$aPanagiotopoulos C., G.$$iParaskevopoulos E., A.$$iManolis G., D.
000013166 8560_ $$ffischerc@itam.cas.cz
000013166 8564_ $$s256692$$uhttps://invenio.itam.cas.cz/record/13166/files/CD220.pdf$$yOriginal version of the author's contribution as presented on CD, section: Nonlinear dynamics.
000013166 962__ $$r13074
000013166 980__ $$aPAPER