Computational stochastic dynamics based on orthogonal expansion of random excitations

Xu, XF; Stefanou, G

dc.contributor.author	Xu, XF	en
dc.contributor.author	Stefanou, G	en
dc.date.accessioned	2014-03-01T02:52:56Z
dc.date.available	2014-03-01T02:52:56Z
dc.date.issued	2011	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/36163
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-80054820069&partnerID=40&md5=d377acd231bf561a8e764359f9413e0f	en
dc.subject	Nonlinear	en
dc.subject	Orthogonal expansion	en
dc.subject	Random vibration	en
dc.subject.other	Engineering problems	en
dc.subject.other	First-order	en
dc.subject.other	Gaussian Processes	en
dc.subject.other	Lagrangian	en
dc.subject.other	Non-Gaussian	en
dc.subject.other	Non-linear oscillators	en
dc.subject.other	Nonlinear	en
dc.subject.other	Orthogonal expansion	en
dc.subject.other	Random excitations	en
dc.subject.other	Random vibrations	en
dc.subject.other	Stochastic dynamics	en
dc.subject.other	Strongly nonlinear	en
dc.subject.other	Trial functions	en
dc.subject.other	Variational methods	en
dc.subject.other	Vibration systems	en
dc.subject.other	Civil engineering	en
dc.subject.other	Computational methods	en
dc.subject.other	Earthquakes	en
dc.subject.other	Engineering geology	en
dc.subject.other	Expansion	en
dc.subject.other	Gaussian noise (electronic)	en
dc.subject.other	Stochastic models	en
dc.subject.other	Stochastic systems	en
dc.subject.other	Structural dynamics	en
dc.subject.other	Dynamics	en
dc.title	Computational stochastic dynamics based on orthogonal expansion of random excitations	en
heal.type	conferenceItem	en
heal.publicationDate	2011	en
heal.abstract	A major challenge in stochastic dynamics is to model nonlinear systems subject to general non-Gaussian excitations which are prevalent in realistic engineering problems. In this work, an n-th order convolved orthogonal expansion (COE) method is proposed. For li- near vibration systems, the statistics of the output can be directly obtained as the first-order COE about the underlying Gaussian process. The COE method is next verified by its application on a weakly nonlinear oscillator. In dealing with strongly nonlinear dynamics problems, a variational method is presented by formulating a convolution-type Lagrangian and using the COE representation as trial functions.	en
heal.journalName	ECCOMAS Thematic Conference - COMPDYN 2011: 3rd International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering: An IACM Special Interest Conference, Programme	en