Single Fourier series solutions for rectangular plates under in-plane forces, with particular reference to the basic problem of colinear compression. Part 1: Closed-form solution and convergence study

Tahan, N; Pavlovic, MN; Kotsovos, MD

dc.contributor.author	Tahan, N	en
dc.contributor.author	Pavlovic, MN	en
dc.contributor.author	Kotsovos, MD	en
dc.date.accessioned	2014-03-01T01:09:32Z
dc.date.available	2014-03-01T01:09:32Z
dc.date.issued	1993	en
dc.identifier.issn	02638231	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11066
dc.subject	Closed Form Solution	en
dc.subject	Fourier Series	en
dc.subject.other	Shear stress	en
dc.subject.other	Stresses	en
dc.subject.other	Surfaces	en
dc.subject.other	Traction (friction)	en
dc.subject.other	Closed form solutions	en
dc.subject.other	Colinear compression	en
dc.subject.other	Convergence study	en
dc.subject.other	Inplane forces	en
dc.subject.other	Rectangular plates	en
dc.subject.other	Single Fourier series solutions	en
dc.subject.other	Plates (structural components)	en
dc.title	Single Fourier series solutions for rectangular plates under in-plane forces, with particular reference to the basic problem of colinear compression. Part 1: Closed-form solution and convergence study	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/0263-8231(93)90034-8	en
heal.identifier.secondary	http://dx.doi.org/10.1016/0263-8231(93)90034-8	en
heal.publicationDate	1993	en
heal.abstract	This paper considers certain types of classical plane-stress problems, concentrating on their solutions by means of the simple, although usually approximate, single Fourier series technique. While this approach is well known, no systematic studies based on it seem to have been carried out in the past. Such a study is presently undertaken with reference to the problem of a colinearly compressed rectangular plate so as to reach some conclusions regarding (ordinary) convergence rates for stresses, as well as to investigate possible ways of improving convergence. In addition, a truly closed-form solution for the single Fourier series technique is given (thus bypassing the need to repeatedly solve systems of equations) which encompasses completely arbitrary normal and/or shear loading along two opposite edges. In a follow-up paper (Tahan et al., Thin Walled Structures 17(1) (1993)), the present findings will be used to conduct an investigation of the stress distribution in a plate subject to colinear compression. © 1993.	en
heal.journalName	Thin-Walled Structures	en
dc.identifier.doi	10.1016/0263-8231(93)90034-8	en
dc.identifier.volume	15	en
dc.identifier.issue	4	en
dc.identifier.spage	291	en
dc.identifier.epage	303	en