A unified semi-analytic method for vibro-acoustic analysis of submerged shells of revolution

Xie, Kun; Chen, Meixia; Zhang, Linke; Li, Wencheng; Dong, Wanjing

doi:10.1016/j.oceaneng.2019.106345

Cited by 46 publications

(5 citation statements)

References 43 publications

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“…Gao et al [23,24] studied the vibration response and sound radiation of rotating shells in light and heavy fluids using the Ritz method and the test method. Xie et al [25,26] presented a semi-analytic method to investigate the vibro-acoustic response of conical shells in light of the Flügge theory and the Fourier series. Li et al [27] extended a meshfree method to analyze the vibrational and acoustic behaviors of composite conical shells, in which the shell displacement and acoustic pressure were described by the Fourier series and meshfree form functions.…”

Section: Introductionmentioning

confidence: 99%

Prediction of Time Domain Vibro-Acoustic Response of Conical Shells Using Jacobi–Ritz Boundary Element Method

Gao,

Zheng,

Pang

et al. 2024

Acoustics

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Considering the lack of studies on the transient vibro-acoustic properties of conical shell structures, a Jacobi–Ritz boundary element method for forced vibro-acoustic behaviors of structure is proposed based on the Newmark-β integral method and the Kirchhoff time domain boundary integral equation. Based on the idea of the differential element method and the first-order shear deformation theory (FSDT), the vibro-acoustic model of conical shells is established. The axial and circumferential displacement tolerance functions are expressed using Jacobi polynomials and the Fourier series. The time domain response of the forced vibration of conical shells is calculated based on the Rayleigh–Ritz method and Newmark-β integral method. On this basis, the time domain response of radiated noise is solved based on the Kirchhoff integral equation, and the acoustic radiation characteristics of conical shells from forced vibration are analyzed. Compared with the coupled FEM/BEM method, the numerical results demonstrate the high accuracy and great reliability of this method. Furthermore, the semi-vertex angle, load characteristics, and boundary conditions related to the vibro-acoustic response of conical shells are examined.

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Section: Introductionmentioning

confidence: 99%

Prediction of Time Domain Vibro-Acoustic Response of Conical Shells Using Jacobi–Ritz Boundary Element Method

Gao,

Zheng,

Pang

et al. 2024

Acoustics

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“…A modified variational method was used to model the structural system, while the acoustic field is calculated using a spectral Kirchhoff-Helmholtz integral formulation. Xie et al [28] studied the vibro-acoustic response behavior of submerged shells of revolution using a semi-analytical method. They employed the Flu¨gge shell theory for structural responses and the Helmholtz integral equation (HIE) method for acoustic pressure calculations.…”

Section: Introductionmentioning

confidence: 99%

Acoustic radiation from a sphere pulsating near an impedance plane using a boundary integral equation method

Üstündağ

Yildizdag

Uğurlu

et al. 2022

Mathematics and Mechanics of Solids

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In this study, a boundary integral equation method is proposed for investigating acoustic pressure radiation from a sphere pulsating near a free surface or an impedance plane. The half-space and free-space problems are investigated for the acoustic radiation of pulsating sphere. The effects of free surface and impedance boundaries are introduced into the mathematical model by employing three different half-space Green’s functions, respectively. These Green’s functions are derived, respectively, using the single image-source method, multiple equivalent-source method, and complex equivalent-source method. Green’s functions are implemented into the boundary element (BE) formulation. The surface of the pulsating sphere is discretized with linear and quadratic BEs, and the Combined Helmholtz Integral Equation Formulation (CHIEF) is employed to overcome the non-uniqueness problem. Four different case studies are considered for the sphere pulsating near a free surface or an impedance plane. The first case study involves the sphere pulsating near a free surface (perfectly reflective) and the single image-source method is used in the boundary element method (BEM) formulation. In the second case study, the sphere is assumed as pulsating near a perfectly reflecting and perfectly absorbing impedance planes, respectively. The multiple equivalent-source method is employed for the perfectly reflecting plane, but the multiple equivalent-source method and complex equivalent-source methods for the perfectly absorbing plane. The third case study involves a general impedance plane, and all the methods are employed, respectively, in the BE formulation. The final case study assumes a general impedance plane forming a perpendicular incidence and the complex equivalent-source method is used in this particular case. It is observed that there is a very good comparison between the results obtained from all these methods.

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“…Li et al (2018) investigated the free vibration of stepped doubly curved shells of revolution by using semi-analytical method. Xie et al (2019aXie et al ( , 2019bXie et al ( and 2020b studied the free and forced vibrations of arbitrary shells of revolution stiffened by rings with T cross-section, predicted the vibro-acoustic responses of submerged shells of revolution, and developed a unified semi-analytical method for free vibration analysis of functionally graded material shells of revolution.…”

Section: Introductionmentioning

confidence: 99%

“…Shells of revolution are commonly used as roofing units in civil engineering (as they are capable of covering large column-free areas, Bakshi and Chakravorty, 2013, 2020; Nayak and Bandyopadhyay, 2006), as rocket or spacecraft parts in aerospace engineering (Espinoza et al, 2012; Menaa and Lakis, 2015), as pressure vessels, reservoirs, and tanks in ocean engineering (Chen et al, 2015, 2018; Xie et al, 2019b, 2020a; Zhang et al, 2021), and as some small structures or structural components in mechanical engineering (Arabyan, 2020; Baghlani et al, 2021; Ni et al, 2019). According to the axial openings, shells of revolution are classified as closed (no axial opening), semi-closed (one axial opening), and open (two axial openings) shells of revolution.…”

Section: Introductionmentioning

confidence: 99%

A semi-analytical method for free vibration of semi-closed shells of revolution with variable curvature

Lian

Sun

et al. 2022

Journal of Vibration and Control

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This study is concerned with the free vibration analysis of semi-closed shells of revolution with variable curvature, with a focus on the analytical solution to the natural frequency of such shells. A semi-closed shell of revolution with variable curvature is firstly divided into some narrow small shell segments, then the first small shell segment with a closed shell apex is approximated with a semi-closed conical shell, while the remaining small shell segments are approximated with a series of progressively larger truncated conical shells. Since each small conical shell is part of the large semi-closed shell of revolution with variable curvature and has to vibrate in sync with the large shell, the analytical solution to the axisymmetric free vibration of the large shell can be transformed into the analytical solutions to the synchronous free vibration of these small conical shells. The general solutions for the natural frequencies of all small conical shells are analytically derived under the condition that conical shells have zero meridional curvature. The undetermined constants in the general solutions are determined by letting all natural frequencies of these small conical shells be equal. Finally, the analytical solution for the axisymmetric free vibration of semi-closed shells of revolution with variable curvature is presented and is proved to be basically reliable by conducting a confirmatory experiment based on polymer 3D-printing technique.

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A unified semi-analytic method for vibro-acoustic analysis of submerged shells of revolution

Cited by 46 publications

References 43 publications

Prediction of Time Domain Vibro-Acoustic Response of Conical Shells Using Jacobi–Ritz Boundary Element Method

Prediction of Time Domain Vibro-Acoustic Response of Conical Shells Using Jacobi–Ritz Boundary Element Method

Acoustic radiation from a sphere pulsating near an impedance plane using a boundary integral equation method

A semi-analytical method for free vibration of semi-closed shells of revolution with variable curvature

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