Prediction of acoustic radiation from functionally graded shells of revolution in light and heavy fluids

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• 作者：Yegao Qu^a ; ^b ; ^{quyegao@vt.edu" class="auth_mail" title="E-mail the corresponding author} ; Guang Meng^a
• 关键词：Functionally graded material ; Shell of revolution ; Fluid ; Vibration ; Sound radiation
• 刊名：Journal of Sound and Vibration
• 出版年：2016
• 出版时间：18 August 2016
• 年：2016
• 卷：376
• 期：Complete
• 页码：112-130
• 全文大小：3411 K

文摘

This paper presents a semi-analytical method for the vibro-acoustic analysis of a functionally graded shell of revolution immersed in an infinite light or heavy fluid. The structural model of the shell is formulated on the basis of a modified variational method combined with a multi-segment technique, whereas a spectral Kirchhoff–Helmholtz integral formulation is employed to model the exterior fluid field. The material properties of the shell are estimated by using the Voigt׳s rule of mixture and the Mori–Tanaka׳s homogenization scheme. Displacement and sound pressure variables of each segment are expanded in the form of a mixed series using Fourier series and Chebyshev orthogonal polynomials. A set of collocation nodes distributed over the roots of Chebyshev polynomials are employed to establish the algebraic system of the acoustic integral equations, and the non-uniqueness solution is eliminated using a combined Helmholtz integral equation formulation. Loosely and strongly coupled schemes are implemented for the structure-acoustic interaction problem of a functionally graded shell immersed in a light and heavy fluid, respectively. The present method provides a flexible way to account for the individual contributions of circumferential wave modes to the vibration and acoustic responses of functionally graded shells of revolution in an analytical manner. Numerical tests are presented for sound radiation problems of spherical, cylindrical, conical and coupled shells. The individual contributions of the circumferential modes to the radiated sound pressure and sound power of functionally graded shells are observed. Effects of the material profile on the sound radiation of the shells are also investigated.