APPROACH TO THE VIBRATION PROBLEM OF HOMOGENEOUS, NON-HOMOGENEOUS AND COMPOSITE MEMBRANES BASED ON THE BOUNDARY ELEMENT METHOD.

Katsikadelis, JT; Sapountzakis, EJ

dc.contributor.author	Katsikadelis, JT	en
dc.contributor.author	Sapountzakis, EJ	en
dc.date.accessioned	2014-03-01T01:07:04Z
dc.date.available	2014-03-01T01:07:04Z
dc.date.issued	1988	en
dc.identifier.issn	0029-5981	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9773
dc.subject	Boundary Element Method	en
dc.subject	Composite Membrane	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.other	COMPOSITE MATERIALS	en
dc.subject.other	MATHEMATICAL TECHNIQUES - Boundary Element Method	en
dc.subject.other	COMPOSITE MEMBRANES	en
dc.subject.other	GREEN FUNCTION	en
dc.subject.other	MEMBRANES	en
dc.title	APPROACH TO THE VIBRATION PROBLEM OF HOMOGENEOUS, NON-HOMOGENEOUS AND COMPOSITE MEMBRANES BASED ON THE BOUNDARY ELEMENT METHOD.	en
heal.type	journalArticle	en
heal.identifier.primary	10.1002/nme.1620261106	en
heal.identifier.secondary	http://dx.doi.org/10.1002/nme.1620261106	en
heal.language	English	en
heal.publicationDate	1988	en
heal.abstract	A boundary element approach is presented to establish the eigenfrequencies and the mode shapes of the free vibrations of flexible membranes with arbitrary shape. The membranes may be of homogeneous, non-homogeneous or composite material, while their boundaries may be fixed or elastically supported. The implementation of the method is mainly based on the development of both a boundary element technique to compute numerically the Green function for the Laplace equation and a numerical procedure to solve domain integral equations using two-dimensional Gauss integration on regions of arbitrary shape. The efficiency of the method presented is demonstrated by applying it to study the free vibrations of membranes consisting of homogeneous, non-homogeneous and composite material, fixed or elastically supported on the boundary, and having various shapes, such as circular, rectangular, triangular, or elliptical, or being L-shaped or of arbitrary shape.	en
heal.publisher	JOHN WILEY & SONS LTD	en
heal.journalName	International Journal for Numerical Methods in Engineering	en
dc.identifier.doi	10.1002/nme.1620261106	en
dc.identifier.isi	ISI:A1988Q577000005	en
dc.identifier.volume	26	en
dc.identifier.issue	11	en
dc.identifier.spage	2439	en
dc.identifier.epage	2455	en