Acoustic eigenfrequencies in concentric spheroidal-spherical cavities

Kokkorakis, GC; Roumeliotis, JA

dc.contributor.author	Kokkorakis, GC	en
dc.contributor.author	Roumeliotis, JA	en
dc.date.accessioned	2014-03-01T01:12:35Z
dc.date.available	2014-03-01T01:12:35Z
dc.date.issued	1997	en
dc.identifier.issn	0022-460X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12154
dc.subject	Functional Connectivity	en
dc.subject	Neumann Boundary Condition	en
dc.subject.classification	Acoustics	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.classification	Mechanics	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Eigenvalues and eigenfunctions	en
dc.subject.other	Dirichlet boundary conditions	en
dc.subject.other	Neumann boundary conditions	en
dc.subject.other	Acoustic waves	en
dc.title	Acoustic eigenfrequencies in concentric spheroidal-spherical cavities	en
heal.type	journalArticle	en
heal.identifier.primary	10.1006/jsvi.1997.1122	en
heal.identifier.secondary	http://dx.doi.org/10.1006/jsvi.1997.1122	en
heal.language	English	en
heal.publicationDate	1997	en
heal.abstract	The acoustic eigenfrequencies f(nsm) in concentric spheroidal-spherical cavities are determined for both Dirichlet and Neumann boundary conditions. Two types of cavities are examined, one with spheroidal outer and spherical inner boundary and inversely for the other. The pressure field is expressed in terms of both spherical and spheroidal wave functions, connected with one another by well-known expansion formulas. When the solution is specialized to small values of h = d/(2R(2)) where d is the interfocal distance of the spheroidal boundary and R-2 the half length of its rotation axis, exact closed-form expressions are obtained for the coefficients g(nsm)((2)), and g(nsm)((4)) in the resulting relations f(nsm)(h) = f(ns) (0) [1 + g(nsm)((2)) h(2) + g(nsm)((4)), h(4) + O(h(6))]. Numerical results are given for various values of the parameters. (C) 1997 Academic Press Limited.	en
heal.publisher	ACADEMIC PRESS LTD	en
heal.journalName	Journal of Sound and Vibration	en
dc.identifier.doi	10.1006/jsvi.1997.1122	en
dc.identifier.isi	ISI:A1997XZ85800001	en
dc.identifier.volume	206	en
dc.identifier.issue	3	en
dc.identifier.spage	287	en
dc.identifier.epage	308	en