Asymptotic expansions for the coupled wavenumbers in an infinite orthotropic flexible fluid-filled cylindrical shell


Autoria(s): Kunte, MV; Sarkar, Abhijit; Sonti, Venkata R
Data(s)

01/06/2012

Resumo

Analytical expressions are found for the coupled wavenumbers in flexible, fluid-filled, circular cylindrical orthotropic shells using the asymptotic methods. These expressions are valid for arbitrary circumferential orders. The Donnell-Mushtari shell theory is used to model the shell and the effect of the fluid is introduced through the fluid-loading parameter mu. The orthotropic problem is posed as a perturbation on the corresponding isotropic problem by defining a suitable orthotropy parameter epsilon, which is a measure of the degree of orthotropy. For the first study, an isotropic shell is considered (by setting epsilon = 0) and expansions are found for the coupled wavenumbers using a regular perturbation approach. In the second study, asymptotic expansions are found for the coupled wavenumbers in the limit of small orthotropy (epsilon << 1). For each study, isotropy and orthotropy, expansions are found for small and large values of the fluid-loading parameter mu. All the asymptotic solutions are compared with numerical solutions to the coupled dispersion relation and the match is seen to be good. The differences between the isotropic and orthotropic solutions are discussed. The main contribution of this work lies in extending the existing literature beyond in vacuo studies to the case of fluid-filled shells (isotropic and orthotropic).

Formato

application/pdf

Identificador

http://eprints.iisc.ernet.in/45406/1/J.Acoust_Soc_AM_131-6_4272_2012.pdf

Kunte, MV and Sarkar, Abhijit and Sonti, Venkata R (2012) Asymptotic expansions for the coupled wavenumbers in an infinite orthotropic flexible fluid-filled cylindrical shell. In: Journal of the Acoustical Society of America, 131 (6). pp. 4272-4282.

Publicador

Acoustical Society of America

Relação

http://dx.doi.org/10.1121/1.4711003

http://eprints.iisc.ernet.in/45406/

Palavras-Chave #Mechanical Engineering
Tipo

Journal Article

PeerReviewed