Equilibrium equations of thin elastic shells referred to a generic oblique curvilinear coordinate system

Panayotounakos, DE; Theocaris, PS

dc.contributor.author	Panayotounakos, DE	en
dc.contributor.author	Theocaris, PS	en
dc.date.accessioned	2014-03-01T01:39:37Z
dc.date.available	2014-03-01T01:39:37Z
dc.date.issued	1989	en
dc.identifier.issn	00198528	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/22901
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0024887983&partnerID=40&md5=447f27f3c6a2420a116377ce51797daa	en
dc.subject.other	Elasticity	en
dc.subject.other	Mathematical Techniques--Differential Equations	en
dc.subject.other	Structural Analysis	en
dc.subject.other	Coordinate Systems	en
dc.subject.other	Equilibrium Equations	en
dc.subject.other	Domes and Shells	en
dc.title	Equilibrium equations of thin elastic shells referred to a generic oblique curvilinear coordinate system	en
heal.type	journalArticle	en
heal.publicationDate	1989	en
heal.abstract	A generalization of the well-known theory of thin elastic shells is obtained by deriving the differential equations of equilibrium with respect to a generic oblique curvilinear coordinate system. The resulting new equations are transformed to equivalent ones with respect to certain types of parametric curves on the middle surface of the shell that are particularly convenient for the static analysis of shells of practical interest in modern civil engineering structures. Two applications of the above theory are presented that concern the closed-form solutions of the membrane equilibrium differential equations for the hyperbolic-paraboloid and the right-helicoid shells. An appropriate choice of the parametric curves for the coordinate system permits direct integration of the complicated equations describing these cases.	en
heal.journalName	Industrial Mathematics	en
dc.identifier.volume	39 pt 1	en
dc.identifier.spage	17	en
dc.identifier.epage	36	en