Variability response functions for stochastic systems under dynamic excitations

Papadopoulos, V; Kokkinos, O

dc.contributor.author	Papadopoulos, V	en
dc.contributor.author	Kokkinos, O	en
dc.date.accessioned	2014-03-01T02:54:04Z
dc.date.available	2014-03-01T02:54:04Z
dc.date.issued	2012	en
dc.identifier.issn	02668920	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/36570
dc.subject	Dynamic variability response functions	en
dc.subject	Stochastic dynamic systems	en
dc.subject	Stochastic finite element analysis	en
dc.subject	Upper bounds	en
dc.subject.other	Dynamic excitations	en
dc.subject.other	Dynamic variability	en
dc.subject.other	Integral form	en
dc.subject.other	Linear stochastic system	en
dc.subject.other	Marginal probability	en
dc.subject.other	Monte Carlo Simulation	en
dc.subject.other	Response functions	en
dc.subject.other	Static loads	en
dc.subject.other	Stochastic dynamic systems	en
dc.subject.other	Stochastic field modeling	en
dc.subject.other	Stochastic finite element analysis	en
dc.subject.other	System property	en
dc.subject.other	System response	en
dc.subject.other	Time dependent	en
dc.subject.other	Transient systems	en
dc.subject.other	Uncertain parameters	en
dc.subject.other	Upper Bound	en
dc.subject.other	Variability response functions	en
dc.subject.other	Computer simulation	en
dc.subject.other	Dynamic response	en
dc.subject.other	Dynamical systems	en
dc.subject.other	Finite element method	en
dc.subject.other	Integral equations	en
dc.subject.other	Monte Carlo methods	en
dc.subject.other	Spectral density	en
dc.subject.other	Stochastic systems	en
dc.subject.other	Uncertain systems	en
dc.subject.other	Uncertainty analysis	en
dc.subject.other	Probability density function	en
dc.title	Variability response functions for stochastic systems under dynamic excitations	en
heal.type	conferenceItem	en
heal.identifier.primary	10.1016/j.probengmech.2011.08.002	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.probengmech.2011.08.002	en
heal.publicationDate	2012	en
heal.abstract	The concept of variability response functions (VRFs) is extended in this work to linear stochastic systems under dynamic excitations. An integral form for the variance of the dynamic response of stochastic systems is considered, involving a Dynamic VRF (DVRF) and the spectral density function of the stochastic field modeling the uncertain system properties. As in the case of linear stochastic systems under static loads, the independence of the DVRF to the spectral density and the marginal probability density function of the stochastic field modeling the uncertain parameters is assumed. This assumption is here validated with brute-force Monte Carlo simulations. The uncertain system property considered is the inverse of the elastic modulus (flexibility). The same integral expression can be used to calculate the mean response of a dynamic system using a Dynamic Mean Response Function (DMRF) which is a function similar to the DVRF. These integral forms can be used to efficiently compute the mean and variance of the transient system response together with time dependent spectral-distribution-free upper bounds. They also provide an insight into the mechanisms controlling the dynamic mean and variability system response. © 2011 Elsevier Ltd. All rights reserved.	en
heal.journalName	Probabilistic Engineering Mechanics	en
dc.identifier.doi	10.1016/j.probengmech.2011.08.002	en
dc.identifier.volume	28	en
dc.identifier.spage	176	en
dc.identifier.epage	184	en