Nonlinear transient dynamic response of elastic membranes with embedded rigid inclusions

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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

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