An explicit method for the free vibrations of non-circular cylindrical panels

Koumousis, VK

dc.contributor.author	Koumousis, VK	en
dc.date.accessioned	2014-03-01T01:11:40Z
dc.date.available	2014-03-01T01:11:40Z
dc.date.issued	1996	en
dc.identifier.issn	0022-460X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11772
dc.subject	Boundary Condition	en
dc.subject	Characteristic Equation	en
dc.subject	Dynamic Characteristic	en
dc.subject	Fourier Series	en
dc.subject	Free Vibration	en
dc.subject	Power Series	en
dc.subject	Type Theory	en
dc.subject.classification	Acoustics	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.classification	Mechanics	en
dc.subject.other	Approximation theory	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Cylinders (shapes)	en
dc.subject.other	Dynamics	en
dc.subject.other	Frequencies	en
dc.subject.other	Geometry	en
dc.subject.other	Mathematical models	en
dc.subject.other	Numerical methods	en
dc.subject.other	Structural panels	en
dc.subject.other	Catenary cylindrical panels	en
dc.subject.other	Donnell theory	en
dc.subject.other	Flugge theory	en
dc.subject.other	Fourier series	en
dc.subject.other	Free vibrations	en
dc.subject.other	Power series	en
dc.subject.other	Vibrations (mechanical)	en
dc.title	An explicit method for the free vibrations of non-circular cylindrical panels	en
heal.type	journalArticle	en
heal.identifier.primary	10.1006/jsvi.1996.0150	en
heal.identifier.secondary	http://dx.doi.org/10.1006/jsvi.1996.0150	en
heal.language	English	en
heal.publicationDate	1996	en
heal.abstract	A method is presented for the determination of the dynamic characteristics of non circular cylindrical panels, based on Flugge or Donnell type theories. The panels are simply supported along the curved edges, while at the straight edges they are supported by any type of admissible boundary conditions. The components of displacements are expanded in Fourier series in the axial direction and power series in the circumferential direction. The solution is determined by employing a recursive scheme in conjunction with the method of successive approximations. This approach leads to a characteristic equation in which the non-dimensional frequency appears in explicit form. The method is applied to catenary cylindrical panels. Numerical results are presented which describe the variation of the non-dimensional frequencies with respect to the geometric parameters. A comparison with circular panels is presented for different types of boundary conditions. (C) 1996 Academic Press Limited	en
heal.publisher	ACADEMIC PRESS LTD	en
heal.journalName	Journal of Sound and Vibration	en
dc.identifier.doi	10.1006/jsvi.1996.0150	en
dc.identifier.isi	ISI:A1996UF42000004	en
dc.identifier.volume	191	en
dc.identifier.issue	5	en
dc.identifier.spage	681	en
dc.identifier.epage	694	en