A simple first-order shear deformation theory for vibro-acoustic analysis of the laminated rectangular fluid-structure coupling system

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

doi:10.1016/j.compstruct.2018.06.093

Cited by 37 publications

(5 citation statements)

References 59 publications

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“…It can be seen from Table 3 that the calculation results of the method are very close to the results from Refs. [72,74], the good agreement shows the accuracy of the model.…”

Section: Free Vibration Analysis Of Hybrid Laminated Platesmentioning

confidence: 59%

Free and Forced Vibration Analysis of Carbon/Glass Hybrid Composite Laminated Plates Under Arbitrary Boundary Conditions

Li,

Guedes Soares,

Liu

et al. 2024

Appl Compos Mater

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This paper presents the theoretical investigations on the free and forced vibration behaviours of carbon/glass hybrid composite laminated plates with arbitrary boundary conditions. The unknown allowable displacement functions of the physical middle surface are expressed in terms of standard cosine Fourier series and sinusoidal auxiliary functions to ensure the continuity of the displacement functions and their derivatives at the structural boundaries. Arbitrary boundary conditions are achieved through the introduction of an artificial spring technique. The first shear deformation theory and Lagrange equations are utilized to derive the energy expression, and the eigenvalue equations associated with free and forced vibration are obtained by Rayleigh-Ritz variational operations. Subsequently, these equations are then solved to determine the natural frequency, mode of vibration, and the steady-state displacement response under forced excitation. The new results are compared with those from references and finite element methods to verify the convergence, accuracy and efficiency of the analytical method. The effects of hybrid ratios, stacking sequences, lamination schemes, fibre orientation, boundary conditions and excitation force on the free and forced vibration behaviours of the carbon/glass hybrid composite laminated plates are analyzed in detail.

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“…It can be seen from Table 3 that the calculation results of the method are very close to the results from Refs. [72,74], the good agreement shows the accuracy of the model.…”

Section: Free Vibration Analysis Of Hybrid Laminated Platesmentioning

confidence: 59%

Free and Forced Vibration Analysis of Carbon/Glass Hybrid Composite Laminated Plates Under Arbitrary Boundary Conditions

Li,

Guedes Soares,

Liu

et al. 2024

Appl Compos Mater

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“…They also considered the natural characteristics of a plate cavity coupling structure. In another study [118], a simple FSDT was applied to obtain the STL of a laminated plate-cavity coupling system subjected to air or water. The proposed theory compared to CPT contained either only four unknowns or higher calculation precision.…”

Section: Methodsmentioning

confidence: 99%

Prediction of acoustic wave transmission features of the multilayered plate constructions: A review

Zarastvand

Ghassabi

Talebitooti

2021

Jnl of Sandwich Structures & Materials

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This study collects all of the existent papers in the field of acoustic transmission across multilayered plate constructions. Herewith, a comprehensive source is proposed wherein approximately 410 references are reviewed and described from the first [Formula: see text] to [Formula: see text]. In the first part, in addition to the presentation of a complete explanation about the importance of the acoustic analysis of these structures, appropriate formulations are also provided. Furthermore, an overview of the thematic correspondent is carried out. Since the type of material used in these constructions can be very important in sound insulation, the significance of this subject is remarked. The papers are then classified based on their acoustic excitation fields containing plane wave, diffuse, random, and point source. After analyzing the research approaches according to different environmental properties, the articles are ordered based on their boundaries as finite and infinite. To present reliable outcomes, it is necessary to investigate a proper theory proportional to the structure’s thickness. Herewith, this issue is also discussed in detail. The review is also expanded to focus on the different vibroacoustic solutions. Before concluding remarks, the authors' research works are presented wherein either optimization algorithms or control techniques improve the acoustic performance of these structures.

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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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A simple first-order shear deformation theory for vibro-acoustic analysis of the laminated rectangular fluid-structure coupling system

Cited by 37 publications

References 59 publications

Free and Forced Vibration Analysis of Carbon/Glass Hybrid Composite Laminated Plates Under Arbitrary Boundary Conditions

Free and Forced Vibration Analysis of Carbon/Glass Hybrid Composite Laminated Plates Under Arbitrary Boundary Conditions

Prediction of acoustic wave transmission features of the multilayered plate constructions: A review

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

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