Nonlinear transient dynamic response of elastic membranes with embedded rigid inclusions

Kandilas, CB; Nerantzaki, MS

dc.contributor.author	Kandilas, CB	en
dc.contributor.author	Nerantzaki, MS	en
dc.date.accessioned	2014-03-01T01:28:52Z
dc.date.available	2014-03-01T01:28:52Z
dc.date.issued	2008	en
dc.identifier.issn	0955-7997	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19009
dc.subject	Analog equation method	en
dc.subject	Boundary elements	en
dc.subject	Elastic membranes	en
dc.subject	Large deflections	en
dc.subject	Nonlinear	en
dc.subject	Rigid inclusion	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Boundary element method	en
dc.subject.other	Boundary value problems	en
dc.subject.other	Dynamic response	en
dc.subject.other	Equations of motion	en
dc.subject.other	Feedforward neural networks	en
dc.subject.other	Image segmentation	en
dc.subject.other	Mathematical models	en
dc.subject.other	Membranes	en
dc.subject.other	Numerical methods	en
dc.subject.other	Radial basis function networks	en
dc.subject.other	Structural panels	en
dc.subject.other	Analog equation method	en
dc.subject.other	Analysis and design	en
dc.subject.other	Boundary conditioning	en
dc.subject.other	Boundary elements	en
dc.subject.other	Coupled nonlinear equations	en
dc.subject.other	Elastic membranes	en
dc.subject.other	Fictitious sources	en
dc.subject.other	Large amplitudes	en
dc.subject.other	Large deflections	en
dc.subject.other	Mathematical modelling	en
dc.subject.other	Nonlinear	en
dc.subject.other	Numerical solutions	en
dc.subject.other	Quasi-Static	en
dc.subject.other	Radial-basis functions	en
dc.subject.other	Rigid inclusion	en
dc.subject.other	Rigid inclusions	en
dc.subject.other	Rigid-body dynamics	en
dc.subject.other	Strain distributions	en
dc.subject.other	Time-dependent	en
dc.subject.other	Time-integration schemes	en
dc.subject.other	Transient dynamic response	en
dc.subject.other	Nonlinear equations	en
dc.title	Nonlinear transient dynamic response of elastic membranes with embedded rigid inclusions	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.enganabound.2008.02.002	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.enganabound.2008.02.002	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	In this paper, the large amplitude transient dynamic response of membranes containing rigid inclusions is examined. These rigid inclusions significantly alter the membrane's stress and strain distributions, and therefore, create major difficulties in the system's analysis and design. The three coupled nonlinear equations in terms of the displacements governing the response of the membrane are solved using a boundary only method, which reduces the problem to the solution of three Poisson's quasistatic equations with fictitious time-dependent domain source densities under the same boundary conditions. The fictitious sources are represented by radial basis functions series and are established using a BEM-based procedure. A direct time-integration scheme is employed for the numerical solution of the equations of rigid body dynamics governing the constraint due to the surrounding membrane motion of the embedded inclusions. Membranes of various shapes are presented, which illustrate the merits of the proposed method and demonstrate its accuracy and efficiency. The method employed for the solution of the respective mathematical models is a boundary-only BEM having all the advantages of the pure BEM. (C) 2008 Elsevier Ltd. All rights reserved.	en
heal.publisher	ELSEVIER SCI LTD	en
heal.journalName	Engineering Analysis with Boundary Elements	en
dc.identifier.doi	10.1016/j.enganabound.2008.02.002	en
dc.identifier.isi	ISI:000259842800004	en
dc.identifier.volume	32	en
dc.identifier.issue	10	en
dc.identifier.spage	824	en
dc.identifier.epage	838	en