A modified Fourier solution for sound-vibration analysis for composite laminated thin sector plate-cavity coupled system

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

doi:10.1016/j.compstruct.2018.09.037

Cited by 23 publications

(3 citation statements)

References 43 publications

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“…The sound pressure admissible functions can be written as the sum of three cosines’ product and six polynomials. 40–42 The advantage of this method is that it helps to clear up the phenomenon of the boundary discontinuities. The displacements functions of the L-shaped coupled plate and the sound pressure functions of cuboid cavity can be written as follows where the displacements of the plate 1 are marked as w 1 , u 1 , and v 1 , and the displacements of the plate 2 are marked as w 2 , u 2 , and v 2 .…”

Section: Theoretical Knowledgementioning

confidence: 99%

Vibro-acoustic coupling characteristics of orthotropic L-shaped plate–cavity coupling system

Shi

Ren

Zhang

et al. 2019

Journal of Low Frequency Noise, Vibration and Active Control

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The research object of this paper is the L-shaped plate-cavity coupling system established by a cuboid acoustic cavity with rigid-wall or impedance-wall and L-shaped plate with numerous elastic boundary conditions in view of the Fourier series method. The main research content of this paper is the vibro-acoustic coupling characteristics. In this paper, the displacements admissible functions of the L-shaped plate are generally set as the sum of two cosines' product and two polynomials. Sound pressure admissible functions of the cuboid acoustic cavity can be considered as the sum of three cosines' product and six polynomials. The discontinuity of coupling system at all boundaries in the overall solution domain is overcome in this way. Through the energy principle and the Rayleigh-Ritz technology, it can be got that the solving matrix equation of the L-shaped plate-cavity coupling system. Based on verifying the great numerical characteristics of the L-shaped plate-cavity coupling model, they obtained both the frequency analysis and the displacement or sound pressure response analysis under the excitation, including a unit simple harmonic force or a unit monopole source. The advantages of this method are parameterization and versatility. In addition, some new achievements have been shown, based on various materials, boundary conditions, thicknesses, and orthotropic degrees, which may become the foundation for the future research.

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Section: Theoretical Knowledgementioning

confidence: 99%

Vibro-acoustic coupling characteristics of orthotropic L-shaped plate–cavity coupling system

Shi

Ren

Zhang

et al. 2019

Journal of Low Frequency Noise, Vibration and Active Control

Self Cite

View full text Add to dashboard Cite

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“…10 Nguyen et al 11 discussed stability and vibration analyses of composite beams that are laminated and exposed to thermal and mechanical loads in the framework of HSDT. Zhang et al 12 studied the sound-vibrational response of a laminated circular and annular sector plate cavity in the framework of the classical theory of plate and Rayleigh-Ritz energy technique by applying a modified Fourier series method.…”

Section: Introductionmentioning

confidence: 99%

Wave dispersion characteristics of agglomerated multi-scale hybrid nanocomposite beams

Ebrahimi

Seyfi

Dabbagh

2019

The Journal of Strain Analysis for Engineering Design

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Herein, the agglomeration effect of nanoparticles on the wave dispersion of multi-scale hybrid nanocomposite beams is investigated. The constituent material consists of both macro- and nano-reinforcements which are dispersed in the polymer matrix. Homogenization is conducted according to the well-known micromechanical methods. Herein, the combination of the Eshelby–Mori–Tanaka model and the rule of the mixture is implemented in order to estimate the equivalent material properties of the nanocomposite beam. Also, a refined higher-order beam theory is used in order to calculate the kinetic relations free from utilizing an additional factor to account for the shear deformation. Furthermore, the governing equations are achieved by applying Hamilton’s principle. Then, the governing equations are solved analytically to enrich the wave frequency. The effects of various parameters on the variation in wave frequency and phase velocity of the multi-scale hybrid nanocomposite beam are studied. The results of this study reveal that the mechanical responses of the system decrease whenever the nanotubes are inside the clusters.

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“…An example of structural sound intensity was analyzed by using finite element software; in this paper, the results show that orthotropic laminates have different characteristics from isotropic laminates, and that the structural sound intensity characteristics of orthotropic laminates are influenced by the boundary conditions, number of layers and stacking sequence. Zhang et al [55,56,57,58,59] presented the free and forced vibration behaviors of the laminated plate-cavity coupling system by means of the improved Fourier series method.…”

Section: Introductionmentioning

confidence: 99%

Vibration Characteristics Analysis of Moderately Thick Laminated Composite Plates with Arbitrary Boundary Conditions

Xue

Huang

et al. 2019

Materials

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In this study, an improved Fourier series method is presented for the vibration modeling and analysis of moderately thick laminated composite plates with arbitrary boundary conditions, in which the vibration displacements are sought as the linear combination of a double Fourier cosine series and auxiliary series functions. The vibration model was established using the Hamilton energy principle. To study the vibration characteristics of laminated composite plates more comprehensively, firstly, the accuracy of the current results were validated via comparison with previous results and finite element method data. A parametric study was conducted on the effects of several key parameters, such as the h/b ratio, orientation and number of layers. In this section, both solutions are applicable to various combinations of boundary constraints, including classical boundary conditions and elastic-supported boundary conditions. Secondly, in order to identify the action position of vibration and the transmission of vibration energy, the response analysis of laminated plates was studied, and the power flow field for laminated plates was analyzed. Finally, a modal test was introduced to further verify the accuracy of the method in this paper.

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A modified Fourier solution for sound-vibration analysis for composite laminated thin sector plate-cavity coupled system

Cited by 23 publications

References 43 publications

Vibro-acoustic coupling characteristics of orthotropic L-shaped plate–cavity coupling system

Vibro-acoustic coupling characteristics of orthotropic L-shaped plate–cavity coupling system

Wave dispersion characteristics of agglomerated multi-scale hybrid nanocomposite beams

Vibration Characteristics Analysis of Moderately Thick Laminated Composite Plates with Arbitrary Boundary Conditions

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