结构-声强耦合腔振声响应预报研究

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振动与冲击 ›› 2022, Vol. 41 ›› Issue (5) : 83-89.

论文

结构-声强耦合腔振声响应预报研究

廖金龙，朱海潮，侯九霄

作者信息 +

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

LIAO Jinlong, ZHU Haichao, HOU Jiuxiao

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文章历史 +

摘要

针对结构-声强耦合腔在边界激励下的响应预报问题，提出了一种基于能量原理的耦合系统响应计算方法。该方法从能量原理出发得到结构-声耦合腔拉格朗日函数形式的动力学方程，根据Rayleigh-Ritz法选择Legendre多项式级数分别将结构位移函数和声场声压函数展开，代入动力学方程并求解得到耦合腔的结构振动和声场声压响应。由于Legendre多项式满足L2内积正交性，简化了方程中高重积分项，计算效率大大提升。以充水矩形腔为例，通过与文献、有限元结果对比验证了本文方法的正确性。并分析了结构边界条件，背腔深度对系统响应的影响，结果表明：结构边界由强约束过渡到弱约束和背腔深度的减小都会导致响应峰值频率向低频偏移，同时背腔深度的减小还会导致由结构传递至声场的能量增加。

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.

导出引用

廖金龙，朱海潮，侯九霄. 结构-声强耦合腔振声响应预报研究[J]. 振动与冲击, 2022, 41(5): 83-89

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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