On the vibro-acoustic response of a cylindrical shell submerged near a free sea surface

Marsick, Adrien; Sharma, Gyani Shankar; Eggler, Daniel; Maxit, Laurent; Meyer, Valentin; Kessissoglou, Nicole

doi:10.1016/j.jsv.2021.116359

Cited by 21 publications

(11 citation statements)

References 29 publications

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“…In this way, the radial displacement of the shell can be described by Flügge's shell equations of motion. Flügge's model is conventionally used to describe vibration of thin cylindrical shells (Li et al, 2014;Wang et al, 2017;Marsick et al, 2021). It provides an optimal trade-off between complexity of the phenomenon and relative simplicity of its mathematical treatment.…”

Section: Motion Of Shellmentioning

confidence: 99%

“…Infinite cylindrical shells under lineforce distributed loads can be used for efficient and approximate investigations by employing longitudinal symmetry. To date, vibroacoustic studies of infinite cylindrical shells in literature have been analytically and numerically carried for an infinite fluid domain (Junger and Feit, 1986;Pathak and Stepanishen, 1994;Guo, 1996;Liu et al, 2010;Kerferd et al, 2020;Maxit et al, 2020a,b;Williams et al, 2022), semiinfinite fluid domain (Salaün, 1991;Ergin and Temarel, 2002;Li et al, 2003;Azarpeyvand, 2003, 2004;Ye et al, 2012;Li et al, 2014;Guo et al, 2017;Zhao et al, 2020;Marsick et al, 2021) and in a fluid with complex acoustic boundaries such as two surface meeting in a corner to create a quarter-infinite fluid domain (Chen et al, 2016;Guo et al, 2018). However, there is no analytical model for vibroacoustic analysis of an immersed cylindrical shell in water bounded by an upper free surface and lower rigid surface (i.e., shallow water).…”

Section: Introductionmentioning

confidence: 99%

“…These studies have presented far field pressure investigations, which neglect the important near-field phenomena. Recently, Marsick et al (2021) presented a complete vibroacoustic model in which the analytical expression for the pressure is presented for an infinite cylindrical shell near a free surface and under line-distributed load. This simplifies the model due to longitudinal symmetry, to a system akin to a two-dimensional thin ring under point force excitation.…”

Section: Introductionmentioning

confidence: 99%

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Forced vibroacoustic response of a cylindrical shell in an underwater acoustic waveguide

et al. 2023

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Section: Motion Of Shellmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Forced vibroacoustic response of a cylindrical shell in an underwater acoustic waveguide

et al. 2023

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“…In the study, the structural system is studied by adopting a modified variational method, and the acoustic field is calculated using the Kirchhoff-Helmholtz integral formulation. Marsick et al 9 investigated the effect of free surface on the near- and far-field vibro-acoustic response of an infinite cylindrical shell by an analytical formulation that is based on the image method.…”

Section: Introductionmentioning

confidence: 99%

Investigation of acoustic radiation from a sphere vibrating on the free surface of a finite depth water using a boundary element method

Üstündağ,

Uğurlu,

Ergin

2023

Proceedings of the Institution of Mechanical Engineers, Part M:

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In this study, a boundary element method (BEM) is applied to investigate acoustic radiation from a sphere vibrating in pulsating mode on the free surface of finite or infinite depth water. Effect of the free surface is introduced by employing a half-space Green’s function. A modified version of the Helmholtz integral equation (HIE) is used to calculate acoustic radiation from the sphere vibrating in pulsating mode on the free surface. Free-terms of the HIE are calculated using two different forms of integrals and “dummy” boundary elements. Moreover, to simulate finite depth fluid medium, a chain image-source method is used to derive a waveguide Green’s function. To demonstrate applicability of the method presented, calculated acoustic pressures are compared with those by finite element method (FEM) and analytical calculations. Additionally, the effects of submergence depth and vibration frequency on acoustic radiation are investigated for infinitely deep water together with those of water depth and field point distance on acoustic radiation for finite water depth medium. The calculations show that there is a good agreement between BEM, FEM and analytical solutions. Also, it is observed that field point distance significantly affects the convergence behavior of waveguide Green’s function. Furthermore, it is noted that submergence depth, domain depth and vibration frequency have pronounce influence on radiated pressure amplitude and pressure field pattern.

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“…For example, Salaun [22] investigated the effect of free surface on the far-field pressure radiated by an infinite circular cylindrical shell partially submerged in an acoustic fluid and point excited by a high-frequency force, by employing a high-frequency free surface boundary condition. Marsick et al [23] presented an analytical formulation to investigate the effect of free surface on the vibro-acoustic response of an infinite cylindrical shell using the image method for the reflections from the free surface. Both the near-field and far-field acoustic responses are predicted.…”

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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On the vibro-acoustic response of a cylindrical shell submerged near a free sea surface

Cited by 21 publications

References 29 publications

Forced vibroacoustic response of a cylindrical shell in an underwater acoustic waveguide

Forced vibroacoustic response of a cylindrical shell in an underwater acoustic waveguide

Investigation of acoustic radiation from a sphere vibrating on the free surface of a finite depth water using a boundary element method

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

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