Acoustic scattering characteristics of a thick-walled orthotropic cylindrical shell at oblique incidence

Hasheminejad, Seyyed M.; Rajabi, Majid

doi:10.1016/j.ultras.2007.06.003

Cited by 25 publications

(5 citation statements)

References 53 publications

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“…2. The state space approach rearranges equations of motion, Cauchy relation and Hooke's law into a 1 st order differential system based on sextic Stroh's formalism, whose hybrid solution contains both displacement and normal stress field (Baron, 2011;Chen et al, 2004;Dutrion, 2014;Hasheminejad and Rajabi, 2007;Jamali et al, 2011).…”

Section: Introductionmentioning

confidence: 99%

“…This approach allows to adress also the problem of elastic anisotropy, either by expand-ing the matricant solution into a Peano series' decomposition (Baron, 2005(Baron, , 2011, or by substructuring each layer into a certain number of sublayers fine enough to neglect the curvature inside each sublayer. The latter integration method is most prevalent and is chosen by many authors (Chen et al, 2004;Dutrion, 2014;Hasheminejad and Rajabi, 2007;Jamali et al, 2011).…”

Section: Introductionmentioning

confidence: 99%

“…This assembly procedure is generally called the "transfer matrix method" (TMM) and has been used by many authors (see for instance (Chen et al, 2004;Hasheminejad and Rajabi, 2007;Jamali et al, 2011)). However, this one suffers from great instability at high kd, wellknown as the "large f d problem" and first pointed by Dunkin (Dunkin, 1965).…”

Section: Introductionmentioning

confidence: 99%

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A spectral global matrix method for modelling the response of a fluid-loaded multilayered cylindrical shell excited by an acoustic plane wave

Dana

Bernard

Maxit

2020

The Journal of the Acoustical Society of America

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This paper proposes a numerically stable method for modelling a fluid-loaded multilayered cylindrical shell excited by a plane wave, which solves the fd instability problem that is usually observed when using the well-known transfer matrix method (TMM). In the considered modelling, each layer can be either a viscoelastic coating described by a general three-dimensional (3D) elasticity model or an intermediate perfect fluid layer. The transfer matrix of each layer relating the state vector at the layer's two interfaces is estimated with an appropriate standard method. Instead of multiplying together the layer transfer matrices in order to deduce the transfer matrix of the multilayer cylinder, we propose an alternative approach. This one consists in writing the continuity relations at each interface of the considered systems and in building a global matrix that can be solved to obtain the system response. As shown by numerical applications on typical naval test cases, the proposed global matrix assembly procedure as opposed to the classical TMM provides numerical stability over both a wide range of axial wavenumbers and circumferential orders, but also the ability to consider intermediate fluid layers. Besides, this model is well-suited to describe elastic solid layers of any anisotropy as illustrated by an additional case considering a transverse isotropic layer.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A spectral global matrix method for modelling the response of a fluid-loaded multilayered cylindrical shell excited by an acoustic plane wave

Dana

Bernard

Maxit

2020

The Journal of the Acoustical Society of America

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“…They used three-dimensional elasticity theory to model the shell and transfer matrix to couple the acoustic medium to shell dynamics. Hasheminejad and Rajabi (2007) studied the sound scattering from an infinite orthotropic cylindrical shell with an oblique incoming sound wave with arbitrary incident angle. Daneshjou et al.…”

Section: Introductionmentioning

confidence: 99%

Vibro-acoustic and sound transmission loss analysis of truncated conical shell subjected to incident sound wave

Tebyanian

Ghazavi

2018

Journal of Vibration and Control

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A combination of analytical method for shell vibration, boundary element method (BEM) for acoustic media of shell outer space, and finite element method (FEM) for shell inner space was used to study the vibro-acoustic behavior and extract sound transmission loss factor (STL) of a coupled vibro-acoustic system. The equation of motion of the shell is extracted based on the Donnell–Mushtari hypothesis and using Hamilton principles. The acoustic pressure on the outer and inner space is obtained using BEM on the defined nodes on the surface and these localized nodal pressures are converted to nodal concentrated forces. Finally, vibration of the coupled vibro-acoustic model is solved in frequency domain and vibration response of shell and acoustic pressure at any point in the media (outer, on the surface, and inner of shell) are obtained. Also, the STL of the shell is extracted based on the ratio of total acoustic energy received by the shell to that transferred to inner space.

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“…This solution to (14) is exact and unique. In addition, a piecewise constant method can be obtained as an alternative [41][42][43]; that is, divide the plate equally into numbers of sublayers, and the material parameters of each layer are assumed constant. It is clear that an adequate number of layers in the piecewise constant method can ensure the accuracy of the solution.…”

mentioning

confidence: 99%

Three-Dimensional Elasticity Solutions for Sound Radiation of Functionally Graded Materials Plates considering State Space Method

Yang¹,

Huang

Li³

2016

Shock and Vibration

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This paper presents an analytical study for sound radiation of functionally graded materials (FGM) plate based on the three-dimensional theory of elasticity. The FGM plate is a mixture of metal and ceramic, and its material properties are assumed to have smooth and continuous variation in the thickness direction according to a power-law distribution in terms of volume fractions of the constituents. Based on the three-dimensional theory of elasticity and state space method, the governing equations with variable coefficients of the FGM plate are derived. The sound radiation of the vibration plate is calculated with Rayleigh integral. Comparisons of the present results with those of solutions in the available literature are made and good agreements are achieved. Finally, some parametric studies are carried out to investigate the sound radiation properties of FGM plates.

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Acoustic scattering characteristics of a thick-walled orthotropic cylindrical shell at oblique incidence

Cited by 25 publications

References 53 publications

A spectral global matrix method for modelling the response of a fluid-loaded multilayered cylindrical shell excited by an acoustic plane wave

A spectral global matrix method for modelling the response of a fluid-loaded multilayered cylindrical shell excited by an acoustic plane wave

Vibro-acoustic and sound transmission loss analysis of truncated conical shell subjected to incident sound wave

Three-Dimensional Elasticity Solutions for Sound Radiation of Functionally Graded Materials Plates considering State Space Method

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