000021813 001__ 21813
000021813 005__ 20170622131306.0
000021813 04107 $$aeng
000021813 046__ $$k2017-06-15
000021813 100__ $$aGabriel, Dušan
000021813 24500 $$aESTIMATION OF STABILITY LIMIT BASED ON GERSHGORIN'S THEOREM FOR EXPLICIT CONTACT-IMPACT ANALYSIS SIGNORINI PROBLEM USING BIPENALTY APPROACH

000021813 24630 $$n6.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000021813 260__ $$bNational Technical University of Athens, 2017
000021813 506__ $$arestricted
000021813 520__ $$2eng$$aThe stability properties of the bipenalty method presented in Reference [4] is studied in application to one-dimensional bipenalized Signorini problem. The attention has been paid on the critical Courant numbers estimation based on Gershgorin’s theorem. It is shown that Gershgorin’s formula overestimates maximum eigenfrequency for all penalty ratios with exception of the critical penalty ratio. Thus, smaller safer values of critical Courant numbers are obtained in comparison with exact ones calculated from the solution of eigenvalue problem.

000021813 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000021813 653__ $$acontact-impact, bipenalty method, explicit time integration, Gershgorin’s theorem, Signorini problem

000021813 7112_ $$aCOMPDYN 2017 - 6th International Thematic Conference$$cRhodes Island (GR)$$d2017-06-15 / 2017-06-17$$gCOMPDYN2017
000021813 720__ $$aGabriel, Dušan$$iPlešek, Jiří$$iBischoff, Manfred$$iMracko, Michal$$iKolman, Radek$$iKopačka, Ján$$iTkachuk, Anton
000021813 8560_ $$ffischerc@itam.cas.cz
000021813 8564_ $$s206874$$uhttps://invenio.itam.cas.cz/record/21813/files/18027.pdf$$yOriginal version of the author's contribution as presented on CD, section: [MS15] Non-Linear Dynamics and Wave Propagation
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000021813 962__ $$r21500
000021813 980__ $$aPAPER