Vibrational energy flow analysis of penetration beam-plate coupled structures

Song, Jee-Hun; Hong, Suk‐Yoon; Kang, Young-Min; Kil, Hyun Gwon

doi:10.1007/s12206-011-0101-0

Cited by 22 publications

(10 citation statements)

References 14 publications

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“…k x , k y , and k z are the x, y, and z components of the complex wavenumber, k L , respectively. Substituting equation (13) into equation 4, the dispersion relation of the dilatational wave can be expressed as…”

Section: Derivation Of the Energy Governing Equations For A Dilatatiomentioning

confidence: 99%

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Vibrational energy flow models for dilatational wave in elastic solids

Yeo

Hong

Song

et al. 2017

Advances in Mechanical Engineering

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The analysis of medium-to high-frequency vibrations of structures is of particular interest in various fields, including the aviation and shipbuilding industries. Energy flow analysis is well known to be effective for structural acoustics problems in the medium-to high-frequency range, with sufficient detail to include all significant information of the vibrational energy levels or global variation in vibrational energy densities. The aim of this article is to develop energy flow models for a dilatational wave in three-dimensional elastic solids. The energy governing equation derived for the model is expressed in terms of the time-and space-averaged energy density, which represents the global variation of the energy density quite well. Numerical analyses are performed to verify the validity and accuracy of the model for a cube-shaped structure vibrating at a single frequency, and the results of the analysis of energy density distributions from the energy flow analysis that is developed are compared to those obtained using NASTRAN. The energy flow models for the elastic solids, which are useful in the prediction of the vibrational response for a three-dimensional structural analysis at a medium-to-high frequency, are newly derived.

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Section: Derivation Of the Energy Governing Equations For A Dilatatiomentioning

confidence: 99%

“…Substituting equation (13) into equations (10)-(12), the expanded expressions of each components of the time-averaged intensity are derived as ð20Þ ð21Þ…”

Section: Derivation Of the Energy Governing Equations For A Dilatatiomentioning

confidence: 99%

Vibrational energy flow models for dilatational wave in elastic solids

Yeo

Hong

Song

et al. 2017

Advances in Mechanical Engineering

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“…However, in the frequency range for structure-borne sound studies is up to 8000Hz and the number of elements required is quite large to achieve satisfactory performance. The energy-based method such as statistical energy analysis (SEA) [2][3] for structureborne sound transmission at high frequencies can be used. However, Craik et al [4] reported that it was difficult to describe the coupling between the structure and cavity, making sound transmission loss calculation unreliable.…”

Section: Introductionmentioning

confidence: 99%

Analytical modelling of structure-borne sound transmission through I-junction using Chebyshev-Ritz method on cascaded rectangular plate–cavity system

Chin

2019

Applied Acoustics

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A Chebyshev-Ritz based analytical model is proposed to investigate I-junction within the structuralacoustic model of a cascaded rectangular plate-cavity system. By considering of the structural interconnection force and the moment at edges and structural-acoustic interaction on the interface, the structural and acoustic systems are coupled. Two-dimensional and three-dimensional Chebyshev Polynomial series are used to present the unknown panel displacements and the sound pressure field variable inside the cavities, respectively. The effectiveness and correctness of the proposed model on an I-junction in a typical marine offshore platform are verified with those calculated from Finite Element Analysis. The influence of boundary conditions, structural coupling, plate properties, and size of the source-to-receiver cavities on the offshore platform on structure-borne sound transmission are analyzed and addressed. Numerical examples are simulated for several different configurations. It is shown that the boundary conditions, structural coupling manner, plate properties, and the volume ratio of the source-to-receiver cavity will change the structure-borne sound transmission characteristics of the cascaded rectangular plate-cavity system. With the proposed approach, a better prediction can be obtained for structure-borne sound transmission via proper tuning of the cascaded rectangular platecavity system on the offshore platform.

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“…Park and Hong 13 also derived energy governing equations for far-field propagating out-of-plane waves in the Mindlin plate. Song et al 14 extended this method to penetration beam-plate structures, in which a beam and a plate are coupled by a point junction. In addition, Kwon et al 15 developed energy flow models for out-of-plane waves in a finite thin shell, while Han et al 16 developed advanced energy flow models for Rayleigh–Love rods considering the effect of lateral inertia and Rayleigh–Bishop rods considering the effect not only of lateral inertia but also of shear stiffness.…”

Section: Introductionmentioning

confidence: 99%

Energy flow models for underwater radiation noise prediction in medium-to-high-frequency ranges

Kwon

Hong

Song

2015

Proceedings of the Institution of Mechanical Engineers, Part M:

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Energy flow analysis is studied as a promising tool for the noise and vibration analysis of system structures in mediumto-high-frequency ranges. The energy flow finite element method, combining energy flow analysis with the finite element method, is efficient for the vibration analysis of a built-up structure, and the energy flow boundary element method, combining energy flow analysis with the boundary element method, is useful for predicting the noise level of a vibrating complex structure. In this article, the energy flow finite element/energy flow boundary element method and semicoupling relationships are used to investigate the vibration and radiation noise of a reinforced cylindrical structure in water. Energy flow finite element method is employed to analyze the vibrational responses of the reinforced cylindrical structure, considering fluid loading effects, and energy flow boundary element method is applied to analyze the underwater radiation noise. Therefore, the energy flow coupling relationship of structure-to-acoustic space is used to link the energy flow finite element/energy flow boundary element methods together. The vibrational energy of the structure is treated as an acoustic intensity boundary condition of energy flow boundary element method to calculate underwater radiation noise. Numerical simulations are presented and the results are compared with experimental measurements for the reinforced cylindrical structure in water.

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Vibrational energy flow analysis of penetration beam-plate coupled structures

Cited by 22 publications

References 14 publications

Vibrational energy flow models for dilatational wave in elastic solids

Vibrational energy flow models for dilatational wave in elastic solids

Analytical modelling of structure-borne sound transmission through I-junction using Chebyshev-Ritz method on cascaded rectangular plate–cavity system

Energy flow models for underwater radiation noise prediction in medium-to-high-frequency ranges

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