A BEM approach to static and dynamic analysis of plates with internal supports

Katsikadelis, JT; Sapountzakis, EJ; Zorba, EG

dc.contributor.author	Katsikadelis, JT	en
dc.contributor.author	Sapountzakis, EJ	en
dc.contributor.author	Zorba, EG	en
dc.date.accessioned	2014-03-01T01:07:45Z
dc.date.available	2014-03-01T01:07:45Z
dc.date.issued	1990	en
dc.identifier.issn	01787675	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10142
dc.subject	Boundary Condition	en
dc.subject	Boundary Element	en
dc.subject	Integral Representation	en
dc.subject	Static and Dynamic Analysis	en
dc.title	A BEM approach to static and dynamic analysis of plates with internal supports	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF00370055	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF00370055	en
heal.publicationDate	1990	en
heal.abstract	A boundary element approach is developed for the static and dynamic analysis of Kirchhoff's plates of arbitrary shape which, in addition to the boundary supports, are also supported inside the domain on isolated points (columns), lines (walls) or regions (patches). All kinds of boundary conditions are treated. The supports inside the domain of the plate may yield elastically. The method uses the Green's function for the static problem without the internal supports to establish an integral representation for the solution which involves the unknown internal reactions and inertia forces within the integrand of the domain integrals. The Green's function is established numerically using BEM. Subsequently, using an effective Gauss integration for the domain integrals and a BEM technique for line integrals a system of simultaneous, in general, nonlinear algebraic equations is obtained which is solved numerically. Several examples for both the static and dynamic problem are presented to illustrate the efficiency and the accuracy of the proposed method. © 1990 Springer-Verlag.	en
heal.publisher	Springer-Verlag	en
heal.journalName	Computational Mechanics	en
dc.identifier.doi	10.1007/BF00370055	en
dc.identifier.volume	7	en
dc.identifier.issue	1	en
dc.identifier.spage	31	en
dc.identifier.epage	40	en