Time- and frequency-domain analysis using lumped mass global collocation

Provatidis, CG

dc.contributor.author	Provatidis, CG	en
dc.date.accessioned	2014-03-01T01:29:21Z
dc.date.available	2014-03-01T01:29:21Z
dc.date.issued	2008	en
dc.identifier.issn	0939-1533	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19242
dc.subject	Collocation	en
dc.subject	Eigenvalues	en
dc.subject	Finite element	en
dc.subject	Impact	en
dc.subject	Transient response	en
dc.subject.classification	Mechanics	en
dc.subject.other	Eigenvalues and eigenfunctions	en
dc.subject.other	Elastic constants	en
dc.subject.other	Speed	en
dc.subject.other	Time domain analysis	en
dc.subject.other	Transient analysis	en
dc.subject.other	Applied mechanics	en
dc.subject.other	Collocation	en
dc.subject.other	Collocation method	en
dc.subject.other	Cross sectioning	en
dc.subject.other	Eigen value analysis	en
dc.subject.other	Eigenvalues	en
dc.subject.other	Elastic rods	en
dc.subject.other	Elastic structures	en
dc.subject.other	Finite element	en
dc.subject.other	Frequency domains	en
dc.subject.other	Heaviside	en
dc.subject.other	Impact	en
dc.subject.other	Lumped masses	en
dc.subject.other	Mass matrices	en
dc.subject.other	Test cases	en
dc.subject.other	Transient response	en
dc.subject.other	Transient response analysis	en
dc.subject.other	Variable cross section	en
dc.subject.other	Frequency domain analysis	en
dc.title	Time- and frequency-domain analysis using lumped mass global collocation	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00419-008-0203-z	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00419-008-0203-z	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	Quite recently, a novel global collocation method for the eigenvalue analysis of freely vibrated elastic structures was proposed (Archive of Applied Mechanics: DOI: 10.1007/s00419-007-0159-4 ). This paper extends the latter methodology on several levels, in both the time and frequency domain. Firstly the formulation is updated so that it can also deal with rods of variable cross section. Then, the fully populated mass matrices of the previous formulation are properly replaced by lumped masses, thus saving still more computer effort. Subsequently, a new general formulation for the transient response analysis is proposed. Finally, a novel procedure for the coupling of two neighboring collinear rods is presented. The theory is supported by six test cases concerning elastic rods of constant and variable cross sections. Among these, transient analysis refers to the response of a single rod due to a Heaviside-type loading as well as to the impact between two collinear rods of different cross sections. © 2008 Springer-Verlag.	en
heal.publisher	SPRINGER	en
heal.journalName	Archive of Applied Mechanics	en
dc.identifier.doi	10.1007/s00419-008-0203-z	en
dc.identifier.isi	ISI:000259367200006	en
dc.identifier.volume	78	en
dc.identifier.issue	11	en
dc.identifier.spage	909	en
dc.identifier.epage	920	en