Vibration and acoustic radiation of a finite cylindrical shell submerged at finite depth from the free surface

Guo, Wenjie; Li, Tianyun; Zhu, Xiang; Miao, Yuyue; Zhang, Guanjun

doi:10.1016/j.jsv.2017.01.003

Cited by 45 publications

(21 citation statements)

References 21 publications

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“…According to the image method [30,31], another equidistant (the distance between the point source and free surface) and opposite phase source is applied to force the sound pressure on the free surface to be zero. In fact, the above physical model is called a dipole model.…”

Section: Analysis Of the Circumferential Directivity Of The Far-fieldmentioning

confidence: 99%

An Analytical Solution for the Vibration and Far‐Field Sound Radiation Analysis of Finite, Semisubmerged Cylindrical Shells

Guo

Zhou

Han

2021

Shock and Vibration

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The vibration response and far-field sound radiation of a semisubmerged, finite cylindrical shell with low-frequency excitation are studied. The solution to this problem can be divided into two steps. The first step is to apply the wave propagation approach to determine the vibration response of the cylindrical shell. In the cylindrical coordinate system, the Flügge shell equations and Laplace equation are used to describe the cylindrical shell and surrounding fluid so that the vibration responses of the shell can be addressed analytically. The fluid free surface effect is taken into account by applying the sine series to force the velocity potential on the free surface to be zero. Furthermore, compared with the FEM (the finite element method), the present method is not only reliable but also effective. In the second step, the far-field sound radiation is solved by the Fourier transform technique and the stationary phase method in accordance with the vibration responses of the shell from the previous step. The boundary element method is applied to validate the reliability of the acoustical radiation calculation. The circumferential directivity of far-field sound pressure is discussed, and it is found that the maximum value of the sound pressure always appears directly under the structure when the driving frequencies are relatively low. Besides, in consideration of simplicity and less computation effort, the present method can be used for the rapid prediction of the vibration and far-field sound pressure of a semisubmerged cylindrical shell with low-frequency excitation.

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Section: Analysis Of the Circumferential Directivity Of The Far-fieldmentioning

confidence: 99%

An Analytical Solution for the Vibration and Far‐Field Sound Radiation Analysis of Finite, Semisubmerged Cylindrical Shells

Guo

Zhou

Han

2021

Shock and Vibration

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“…The above studies are of considerable value, but the numerical method a will require a greater computational cost with considering the free liquid surface. Therefore, Li et al [31][32][33][34] have done a lot of work in this field. Their research results show that when the immersion depth of the structure is greater than or equal to four times the radius of the structure, the vibro-acoustic characteristics of the cylindrical shell tend to be in an infinite domain.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Free Vibration Characteristics of Cylindrical Shells with Finite Submerged Depth Based on Energy Variational Principle

Nie

Zhu

et al. 2021

Symmetry

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Based on the principle of energy variation, a calculation model for the free vibration characteristics of a cylindrical shell with a finite submerged depth considering the influence of the free liquid surface is established in this paper. First, the Euler beam function is used instead of the shell axial displacement function to obtain the shell kinetic energy and potential energy. Then, by using the mirror image method, the analytical expression of the fluid velocity potential considering the free surface is obtained, and the flow field is added to the system energy functional in the form of fluid work. Then the energy functional is changed to obtain the shell–liquid coupled vibration equation. Solving the equation can obtain the natural frequencies and modes of the structure. The comparison with the finite element calculation results verifies the accuracy of the calculation model in this paper. The research on the influence of the free liquid surface shows that compared to the infinite domain, the free liquid surface destroys the symmetry of the entire system, resulting in a difference in the natural frequency of the positive and negative modes of the shell, and the circumferential mode shapes are no longer mutually uncoupled trigonometric functions. The existence of free liquid surface will also increase the natural frequency of the same order mode, and the closer to the free surface, the natural frequency is greater. As the immersion depth increases, the free vibration characteristics will quickly tend to the result of infinite domain. Additionally, when the immersion depth is equal to or greater than four times the radius of the shell structure, it can be considered that the free liquid surface has no effect. These law and phenomena have also been explained from the mechanism. The method in this paper provides a new analytical solution pattern for solving this type of problem.

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“…Son and Kang (2012) also used this method to show the effect of shear waves in a transversely isotropic layer lined with a porous material, regarding the geometry as well as the boundary condition. Guo et al (2017) analyzed the far-field acoustic radiation through a finite length cylinder submerged at a finite depth from the water surface. For this purpose, the structure was excited by pressure fluctuation because of the turbulent boundary layer (TBL).…”

Section: Introductionmentioning

confidence: 99%

Acoustic performance prediction of a multilayered finite cylinder equipped with porous foam media

Gohari

Zarastvand

Talebitooti

2020

Journal of Vibration and Control

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This paper presents an analytical model to embed porous materials in a finite cylindrical shell in order to obtain the sound transmission loss coefficient. Although the circumferential modes are considered only for calculating the amount of the transmitted noise through an infinitely long cylinder, the present study employs the longitudinal modes in addition to circumferential ones to analyze the vibroacoustic performance of a simply supported cylinder subjected to the porous core based on the first order shear deformation theory. To achieve this goal, the structure is immersed in a fluid and excited by an acoustic wave. In addition, the acoustic pressures and the displacements are developed in the form of double Fourier series. Since these series consist of infinite modes, it is essential to terminate this process by considering adequate modes. Hence, the convergence checking algorithm is employed in the form of some three-dimensional configurations with respect to length, frequency and radius. Afterwards, some figures are plotted to confirm the accuracy of the present formulation. In these configurations, the obtained sound transmission loss from the present study is compared with that of the infinite one. It is shown that by increasing the length of the structure, the results are approached to sound transmission loss of the infinite shells. Moreover, a new approach is proposed to show the transverse displacement of a finite poroelastic cylinder at different frequencies. Based on the outcomes, it is found that by enhancing the length of the poroelastic cylinder, the amount of the transmitted sound into the structure is reduced at the high frequency domain. However, the sound insulation property of the structure is improved at the low frequency region when the radius of the shell is decreased.

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Vibration and acoustic radiation of a finite cylindrical shell submerged at finite depth from the free surface

Cited by 45 publications

References 21 publications

An Analytical Solution for the Vibration and Far‐Field Sound Radiation Analysis of Finite, Semisubmerged Cylindrical Shells

An Analytical Solution for the Vibration and Far‐Field Sound Radiation Analysis of Finite, Semisubmerged Cylindrical Shells

Analysis of Free Vibration Characteristics of Cylindrical Shells with Finite Submerged Depth Based on Energy Variational Principle

Acoustic performance prediction of a multilayered finite cylinder equipped with porous foam media

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