Dynamic analysis of shallow shells of rectangular base

Stavridis, LT

dc.contributor.author	Stavridis, LT	en
dc.date.accessioned	2014-03-01T01:13:42Z
dc.date.available	2014-03-01T01:13:42Z
dc.date.issued	1998	en
dc.identifier.issn	0022-460X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12667
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0032297871&partnerID=40&md5=bc4016d8553c73092f29381f220803ce	en
dc.subject.classification	Acoustics	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.classification	Mechanics	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Computer simulation	en
dc.subject.other	Convergence of numerical methods	en
dc.subject.other	Dynamic response	en
dc.subject.other	Eigenvalues and eigenfunctions	en
dc.subject.other	Galerkin methods	en
dc.subject.other	Geometry	en
dc.subject.other	Shells (structures)	en
dc.subject.other	Continuous surface equation	en
dc.subject.other	Dynamic analysis	en
dc.subject.other	Structural analysis	en
dc.title	Dynamic analysis of shallow shells of rectangular base	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1998	en
heal.abstract	In this investigation a systematic analytic procedure for the dynamic analysis and response of thin shallow shells with a rectangular layout is presented. The shell types examined are the elliptic and hyperbolic paraboloid, the hypar, the conoidal parabolic and the soap-bubble shell, although in principle any shell geometry expressed by a continuous surface equation can be treated. The eigenvalue problem solution is based on the one hand on the consideration of the shell as a system of two interdependant plates whose boundary conditions comply with the prevailing bending and membrane boundary conditions of the shell, and on the other hand on the consistent use of beam eigenfunctions, in the context of a Galerkin solution procedure. The series solution obtained in this way converges rapidly and provides practically acceptable results even in cases with one or more free edges, where the boundary conditions cannot be strictly satisfied. The whole analysis is carried out on the basis of a few non-dimensionalized geometrical parameters, which are the only input required for the computer program specially written for that purpose. (C) 1998 Academic Press.	en
heal.publisher	ACADEMIC PRESS LTD	en
heal.journalName	Journal of Sound and Vibration	en
dc.identifier.isi	ISI:000077472700007	en
dc.identifier.volume	218	en
dc.identifier.issue	5	en
dc.identifier.spage	861	en
dc.identifier.epage	882	en