Estimation of stability limit based on gershgorin’s theorem for explicit contact-impact analysis signorini problem using bipenalty approach

0483822 - ÚT 2018 RIV GR eng C - Conference Paper (international conference)
Gabriel, Dušan - Tkachuk, A. - Kopačka, Ján - Kolman, Radek - Mračko, Michal - Bischoff, M. - Plešek, Jiří
Estimation of stability limit based on gershgorin’s theorem for explicit contact-impact analysis signorini problem using bipenalty approach.
COMPDYN 2017. 6th International conference on computational methods in structural dynamics and earthquake engineering. Proceedings. Athens: National Technical University of Athens, 2017 - (Papadrakakis, M.; Fragiadakis, M.), s. 1312-1321. ISBN 978-618-82844-1-8.
[COMPDYN 2017 /6./. Rhodes (GR), 15.06.2017-17.06.2017]
R&D Projects: GA MŠMT(CZ) EF15_003/0000493; GA ČR(CZ) GA16-03823S
Grant - others:AV ČR(CZ) DAAD-16-12
Program: Bilaterální spolupráce
Institutional support: RVO:61388998
Keywords : contact-impact * bipenalty method * explicit time integration * Gershgorin’s theorem * Signorini problem
OECD category: Mechanical engineering
https://2017.compdyn.org/

The 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.

Permanent Link: http://hdl.handle.net/11104/0279203