Modeling and vibro-acoustic analysis of elastically restrained panel backed by irregular sound space

Chen, Yuehua; Jin, Guoyong; Feng, Zhimin; Liu, Zhigang

doi:10.1016/j.jsv.2017.07.053

Cited by 29 publications

(6 citation statements)

References 31 publications

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“…Shi et al [20] used coordinate transformation to map irregular cavities to the unit square domain and studied its acoustic properties based on the three-dimensional improved Fourier series. On the basis, Chen et al [21,22] modeled the coupling system by replacing the improved Fourier series with Chebyshev polynomial series (CPSM), which was more concise and required less computation. Kim et al [23] presented a new formulation of the coupled reduced-order modeling technique for fluidstructure interaction problems.…”

Section: Introductionmentioning

confidence: 99%

Study on Acoustic Characteristics of a Flexible Plate Strongly Coupled with Rectangular Cavity

Liao

Zhu

Hou

et al. 2021

Shock and Vibration

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This paper presents a method to predict the acoustic characteristics and steady-state responses of a flexible plate strongly coupled with rectangular cavity based on energy principle theory and Legendre polynomial series. First, the displacement of the plate and the sound pressure in the cavity are constructed in the form of two-dimensional and three-dimensional Legendre polynomial series, respectively. The unknown expansion coefficients are obtained using the Rayleigh–Ritz technique based on the energy expressions for the strongly coupled plate-cavity system. The accuracy, convergence, and efficiency of the present method are verified by comparing with the results available in the FEM and literature. Finally, the effects of the structural boundary conditions, cavity depth, and structural length-width ratio on the coupling natural frequency and the steady-state responses under three excitation conditions are analyzed.

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Section: Introductionmentioning

confidence: 99%

Study on Acoustic Characteristics of a Flexible Plate Strongly Coupled with Rectangular Cavity

Liao

Zhu

Hou

et al. 2021

Shock and Vibration

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“…ey developed a method for identifying trapezoidal cavity modals. Chen et al [24] proposed a general analysis method for the inherent characteristics and acoustic vibration characteristics of rectangular plates with arbitrary constraints supported by irregular acoustic cavities. Chen et al [25] also proposed a domain decomposition method to predict the acoustic characteristics of an arbitrary shell composed of any number of subspaces.…”

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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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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“…Li et al [21] summarized the modified Fourier series method (MFSM) and proposed a complete set of analytical solutions for the transverse vibration of rectangular plates with general elastic boundary supports. Later on, the MFSM has been applied to solve many problems of plates with elastic boundary restraints, such as free vibration of two elastically coupled rectangular plates [22], modal analysis of general plate structures [23], and modeling analysis of elastically restrained panel [24]. This method is also used well in triangular plates [25], blades [26], circular plates [27], confocal annular elliptic plates [28], and so on.…”

Section: Introductionmentioning

confidence: 99%

Hypersonic Aeroelastic Response of Elastic Boundary Panel Based on a Modified Fourier Series Method

Zhou

Wang

Jiang

et al. 2019

International Journal of Aerospace Engineering

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In this paper, an analytical method is proposed to directly obtain the aeroelastic time domain response of the elastic boundary panel. Based on a modified Fourier series method (MFSM), the vibration analysis of elastic boundary panels is carried out, after the dynamics equation of the panel is obtained. Then, the vibrational functions are combined with the supersonic piston theory to establish the aeroelastic equation. The aeroelastic time domain response of the panel is obtained to analyze the flutter speed of the panel more intuitively. Finally, the flutter speeds of panels with different length-width ratios, thicknesses, and elastic boundary conditions are discussed in detail.

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Modeling and vibro-acoustic analysis of elastically restrained panel backed by irregular sound space

Cited by 29 publications

References 31 publications

Study on Acoustic Characteristics of a Flexible Plate Strongly Coupled with Rectangular Cavity

Study on Acoustic Characteristics of a Flexible Plate Strongly Coupled with Rectangular Cavity

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

Hypersonic Aeroelastic Response of Elastic Boundary Panel Based on a Modified Fourier Series Method

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