Abstract
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.
Highlights
In recent years, the plate–cavity coupling structures have been widely applied in transportation vehicles such as airplanes, ships, and automobiles
It is established that a vibro-acoustic examine model of the L-shaped plate and the cuboid cavity coupling system is based on the improved Fourier series method and Rayleigh energy technology.[37,38,39]
This method overcomes the discontinuity of the L-shaped plate–cavity coupling system at many boundaries in an entire solution domain
Summary
The plate–cavity coupling structures have been widely applied in transportation vehicles such as airplanes, ships, and automobiles. It is established that a vibro-acoustic examine model of the L-shaped plate and the cuboid cavity coupling system is based on the improved Fourier series method and Rayleigh energy technology.[37,38,39] This method overcomes the discontinuity of the L-shaped plate–cavity coupling system at many boundaries in an entire solution domain. The significance of this method is to facilitate parameterization research and commonality.
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