Vibro-acoustic analysis of the thin laminated rectangular plate-cavity coupling system

Zhang, Hong; Shi, Dongyan; Zha, Shuai; Wang, Qingshan

doi:10.1016/j.compstruct.2018.01.099

Cited by 60 publications

(12 citation statements)

References 48 publications

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“…Procedure. e energy expressions of acoustic cavities are substituted into Lagrangian energy equation (15). Setting the partial derivative of the Lagrangian equation L C with respect to three-dimensional unknown Fourier coefficient vectors as zero by the Rayleigh-Ritz method,…”

Section: Solutionmentioning

confidence: 99%

“…In practice, dissipative acoustic wall surfaces' rectangular cavities are a common model, which have been paid much attention by many researchers. According to the first-order shear deformation theory, Zhang et al [15] studied vibration characteristics of a coupled system consisting of rectangular laminated plates under elastic boundary conditions and cavities under impedance walls. Franzoni and Dowell [16] put forward a modal coupling theory for solving acoustic cavity problems with acoustic absorbing walls.…”

Section: Introductionmentioning

confidence: 99%

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Analysis of Acoustic Characteristics of Arbitrary Triangular Prism and Quadrangular Prism Acoustic Cavities

Shi

Zhang

2019

Shock and Vibration

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This paper proposes a method for the analysis of acoustic modals and steady-state responses of arbitrary triangular prism and quadrangular prism acoustic cavities based on the three-dimensional improved Fourier series. First, the geometric models of arbitrary triangular prism and quadrangular prism acoustic cavities are established. To facilitate the calculation, the bottom and top surfaces of the irregular cavity are converted into the unit square domain by a coordinate transformation. Internal sound pressure-admissible functions are constructed, and energy expressions are derived after coordinate transformation based on the three-dimensional improved Fourier series. The acoustic modals of arbitrary triangular prism and quadrangular prism acoustic cavities are obtained by the Rayleigh–Ritz technique. At the same time, a point sound source excitation is introduced into the cavity to further study the steady-state responses of prismatic acoustic cavities with different acoustic impedance boundary conditions. The reliability and universality of the method are verified by comparing with the finite element results. The method and results can provide some references and benchmarks for future research and application.

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Section: Solutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analysis of Acoustic Characteristics of Arbitrary Triangular Prism and Quadrangular Prism Acoustic Cavities

Shi

Zhang

2019

Shock and Vibration

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“…erefore, in this paper, we will make use of the modified Fourier series proposed by the author before. e principle and mathematical analysis process of the modified Fourier series solution are included in [38][39][40][41]. erefore, on the basis of the improved series solution principle and the motion equation, the displacement tolerance function of the thick orthotropic plate is uniformly described as a periodic function:…”

Section: Energy Expression Of Ick Orthotropic Platesmentioning

confidence: 99%

A Semianalytical Three-Dimensional Elasticity Solution for Vibrations of Orthotropic Plates with Arbitrary Boundary Conditions

Cui

et al. 2019

Shock and Vibration

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A semianalytical three-dimensional (3D) elasticity solution for the vibration of the orthotropic plate is presented under arbitrary boundary conditions. Three-dimensional (3D) elasticity theory provides the theoretical support for the energy function of orthotropic plates. The orthotropic plates which have the arbitrary boundary condition are realized by the way of arranging three sets of linear springs at the edges. With the aim of eliminating the nonsmooth phenomenon at the edges, the admissible displacement function of an orthotropic plate is expressed with a modified Fourier series solution. Under this framework, a change that occurs on the boundary conditions only needs to modify the boundary parameters of the orthotropic plate, without the need for new derivation, thus greatly saving the modeling time. The convergence and accuracy of the proposed method are better than those of the published literature. Lastly, the new vibration results and parametric research of thick orthotropic plates as well as the geometric parameter are also presented.

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“…In order to solve this problem, we referenced the method of improving the noise reduction ability of traditional materials and applied it to the phononic crystals plate. The previous research indicates that a cavity structure significantly improves the sound insulation of ordinary single layer plate and makes a noise reduction material more lightweight [30][31][32][33][34]. Sarıgül et al [35] calculated and presented a modal structural-acoustic coupling for plates with different composite parameters.…”

Section: Introductionmentioning

confidence: 99%

Effect of Cavity Structure on Acoustic Characteristics of Phononic Crystals Based on Double-Layer Plates

et al. 2020

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Localized resonance phononic crystals (LRPCs) are increasingly attracting scientists’ attention in the field of low-frequency noise reduction because of the excellent subwavelength band gap characteristics in the low-frequency band. However, the LRPCs have always had the disadvantage that the noise reduction band is too narrow. In this paper, in order to solve this problem, LRPCs based on double-layer plates with cavity structures are designed. First, the energy bands of phononic crystals plate with different thicknesses were calculated by the finite element method (FEM). At the same time, the mechanism of band gap generation was analyzed in combination with the modalities. Additionally, the influence of structure on the sound transmission loss (STL) of the phononic crystals plate and the phononic crystals cavity plates were analyzed, which indicates that the phononic crystals cavity plates have notable characteristics and advantages. Moreover, this study reveals a unique ”cavity cave” pattern in the STL diagram for the phononic crystals cavity plates, and it was analyzed. Finally, the influence of structural factors on the band structure and STL of phononic crystals cavity plates are summarized, and the theoretical basis and method guidance for the study of phononic crystals cavity plates are provided. New ideas are also provided for the future design and research of phononic crystals plate along with potential applications in low-frequency noise reduction.

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Vibro-acoustic analysis of the thin laminated rectangular plate-cavity coupling system

Cited by 60 publications

References 48 publications

Analysis of Acoustic Characteristics of Arbitrary Triangular Prism and Quadrangular Prism Acoustic Cavities

Analysis of Acoustic Characteristics of Arbitrary Triangular Prism and Quadrangular Prism Acoustic Cavities

A Semianalytical Three-Dimensional Elasticity Solution for Vibrations of Orthotropic Plates with Arbitrary Boundary Conditions

Effect of Cavity Structure on Acoustic Characteristics of Phononic Crystals Based on Double-Layer Plates

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