About: Quasistatic approximations for stiff second order differential equations

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Stiff terms in second order ordinary differential equations may cause large computation time due to high frequency oscillations. Quasistatic approximations eliminate these high frequency solution components in the dynamical simulation of multibody systems by neglecting inertia forces. In the present paper, we study the approximation error of this approach using classical results from singular perturbation theory. The transformation of the linearly implicit second order model equations from multibody dynamics to the canonical (semi-)explicit form of first order singularly perturbed ordinary differential equations is studied in detail. Numerical tests for the model of a walking mobile robot with stiff contact forces between legs and ground show that the computation time may be reduced by a factor up to 10 using the proposed quasistatic approximation. Stiff terms in second order ordinary differential equations may cause large computation time due to high frequency oscillations. Quasistatic approximations eliminate these high frequency solution components in the dynamical simulation of multibody systems by neglecting inertia forces. In the present paper, we study the approximation error of this approach using classical results from singular perturbation theory. The transformation of the linearly implicit second order model equations from multibody dynamics to the canonical (semi-)explicit form of first order singularly perturbed ordinary differential equations is studied in detail. Numerical tests for the model of a walking mobile robot with stiff contact forces between legs and ground show that the computation time may be reduced by a factor up to 10 using the proposed quasistatic approximation. (en)
Title	Quasistatic approximations for stiff second order differential equations Quasistatic approximations for stiff second order differential equations (en)
skos:prefLabel	Quasistatic approximations for stiff second order differential equations Quasistatic approximations for stiff second order differential equations (en)
skos:notation	RIV/68407700:21220/12:00215036!RIV14-MSM-21220___
http://linked.open...avai/riv/aktivita	I Z
http://linked.open...avai/riv/aktivity	I, Z(MSM6840770003)
http://linked.open...iv/cisloPeriodika	10
http://linked.open...vai/riv/dodaniDat	2014
http://linked.open...aciTvurceVysledku	Valášek, Michael
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	České vysoké učení technické v Praze / Fakulta strojní
http://linked.open...dnocenehoVysledku	163848
http://linked.open...ai/riv/idVysledku	RIV/68407700:21220/12:00215036
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Stiff ODEs; Quasistatic approximation; Mass-lumping; mechanical systems (en)
http://linked.open.../riv/klicoveSlovo	Mass-lumping Quasistatic approximation Stiff ODEs mechanical systems
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[B55123B10884]
http://linked.open...i/riv/nazevZdroje	Applied Numerical Mathematics
http://linked.open...in/vavai/riv/obor	JR
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...UplatneniVysledku	2012
http://linked.open...v/svazekPeriodika	62
http://linked.open...iv/tvurceVysledku	Valášek, Michael Arnold, Martin Weber, Steffen
http://linked.open...ain/vavai/riv/wos	000308685700026
http://linked.open...n/vavai/riv/zamer	Rozvoj algoritmů počítačových simulací a jejich aplikace v inženýrství
issn	0168-9274
number of pages	12 (xsd:int)
http://bibframe.org/vocab/doi	10.1016/j.apnum.2012.06.030
http://localhost/t...ganizacniJednotka	21220

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