Prediction of vibro-acoustic response of structure-acoustic strongly coupled cavity

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Journal of Vibration and Shock ›› 2022, Vol. 41 ›› Issue (5) : 83-89.

LIAO Jinlong, ZHU Haichao, HOU Jiuxiao

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Abstract

To predict the response of a coupled structure-acoustic cavity under an external excitation, a response calculation method based on the energy principle is proposed. The dynamical equations of the coupled structure-acoustic cavity are described by the Lagrangian function. The structural displacement and sound pressure are separately expanded by Legendre polynomial according to the Rayleigh-Ritz method. By solving the dynamical equations, the structural vibration and sound pressure of the coupled cavity are obtained. Since the Legendre polynomial satisfies the product orthogonality of L2, the heavily integrated terms in the equation are simplified and the computational efficiency is improved. Taking the strongly coupled water-filled rectangular cavity as an example, the correctness of the method is verified by comparing present method with literature and the finite element results. In addition, the effects on the response of structural boundary conditions and back-cavity depth are analyzed, results show that the transition from a strongly constrained to a weakly constrained structure boundary and the decrease in back-cavity depth both leads to a shift of the response peak frequency to lower frequencies, while the reduction of the back-cavity depth will also lead to an increase in the energy transferred from the structure to the sound field.

Key words

structure-acoustic strongly coupling / response prediction / energy principle / polynomial progression

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LIAO Jinlong, ZHU Haichao, HOU Jiuxiao. Prediction of vibro-acoustic response of structure-acoustic strongly coupled cavity[J]. Journal of Vibration and Shock, 2022, 41(5): 83-89

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