Prediction of acoustic radiation from elliptical caps of revolution by using a semi-analytic method

In this paper, an energy-spectral boundary element formulation is proposed to study the vibro-acoustic characteristics of elliptical caps immersed in acoustic medium. Based on the first-order shear deformation theory, the energy principle and segment technology are used to establish the structural v...

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Bibliographic Details
Published in:Journal of the Brazilian Society of Mechanical Sciences and Engineering 2021-08, Vol.43 (8), Article 383
Main Authors: Zhong, Rui, Guan, Xianlei, Wang, Qingshan, Qin, Bin, Shuai, Cijun
Format: Article
Language:English
Subjects:
Acoustic coupling
Acoustics
Boundary conditions
Engineering
Fourier series
Mathematical analysis
Mechanical Engineering
Model accuracy
Polynomials
Reliability analysis
Shear deformation
Sound waves
Structural vibration
Technical Paper
Vibration analysis
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Summary:In this paper, an energy-spectral boundary element formulation is proposed to study the vibro-acoustic characteristics of elliptical caps immersed in acoustic medium. Based on the first-order shear deformation theory, the energy principle and segment technology are used to establish the structural vibration analysis model. The displacements are written by the Jacobian orthogonal polynomials and Fourier series. The one-dimensional Helmholtz integral formulation is adopted to describe the external acoustic field, where the formulation can be solved by discretization along the generator line of the elliptical cap. On this basis, the vibro-acoustic model of the elliptical cap can be established by considering the energy of the acoustic field acting on the elliptical surface. By the comparison of the results of the vibration and acoustic response with the coupled FEM/BEM method, the reliability and accuracy of the present analysis model are verified. Furthermore, the studies on effects of circumferential wave modes, boundary condition and acoustic medium on the vibro-acoustic behavior of the elliptical cap are made, which is helpful for the design of elliptical cap to some extent.
ISSN:1678-5878
1806-3691
DOI:10.1007/s40430-021-03090-6