The analysis of structural-acoustic coupling of an enclosure using Green’s function method

Abstract

Currently researchers expect to control the internal noise of an enclosure by controlling the relative structural vibration. The method is called ANC (Active Noise Control). Sound pressure response and velocity response of the structure are two significant factors to evaluate the performance of the ANC. But previous researches have to depend on a three-dimensional model with regular shape. Based on the Green's function theorem this paper proposed two formulas to describe the contributions of acoustic modes and structural modes. These two formulas are the essential basis for the analysis of structural-acoustic coupling of an enclosure. From them compact matrix formulas are deduced and a numerical simulation method is presented to calculate the responses of sound pressure and velocity. The numerical simulation method is verified by comparing the numerical result with the theoretical one based on a regular model. And the application of the method in an irregular model shows this method can be used to analyze any model with arbitrary shape.

Vibro-acoustic analysis of a coach platform under random excitation

“…A combination of analytical and numerical techniques was employed by Bassyiouni and Balachandran [14] to predict the sound pressure inside a plate-cavity system. Alternate supplementary techniques including Green's function, integro-modal and impedance-mobility approaches have also been addressed in the literature [15][16][17]. Chen et al [18] used the finite element method and carried out a sensitivity analysis to determine the sound pressure level inside a structural-acoustic system.…”

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

“…Using the variation of modal coupling theory, Geng et al [9] analyzed the response of irregular structure-acoustic interaction system. Luo et al [10] derived the compact matrix formulation by using Green's function theorem and proposed a numerical simulation method to calculate the response of sound pressure and velocity. Zhang et al [11] studied vibration characteristics of the laminated plate-cavity coupling system using an improved Fourier method (IFM).…”

Influence of the inclination angle on the sound field in an irregular enclosure containing two elastic walls

“…However, the complex irregular cavities are more common than the regular rectangular cavities in life and engineering applications. The sound field in the irregular cavity can be calculated by using the semi-analytic semi-numerical method, which is mainly based on the traditional numerical solution–finite element/boundary element method (Luo and Rao, 2005; Pan and Bies, 1990a; Wang et al, 2018). Pan and Bies (1990b) pointed out that the natural frequencies and mode shapes of uncoupled systems could be obtained by the numerical method, and the sound field can be predicted by combining the result and acoustic elastic method.…”

“…This is called the generalized acoustic elasticity method. By this method, Luo and Rao (2005) obtained the required modal information using ANSYS and developed the interface program between MATLAB and ANSYS. Then on the MATLAB platform, the structural-acoustic coupling field in an irregular cavity has calculated utilizing the acoustic elasticity method.…”