Abstract:

A model of sound field of a rectangular enclosure with a middle flexible panel was deduced. By means of continuous distributions of artifical springs along boundary of flexible panel, this model allowed the consideration of a wide variety of boundary conditions. A general formulation considering the full coupling between the two cavities and the panel with different boundary conditions was developed. Two main issues were reached herein with the cavity 1 was excitied by internal sound source. One is that the translational stiffness has more influences on the structural-acoustic coupling of the model and the panel velocity than the rotational stiffness has，the other is that the sound response of cavity 2 caused by panel increases with the increase of the translational stiffness. The paper provides some supporting in engineering theoretically.

Key words: rectangular enclosure, coupling, elastic supported, artifical spring

摘要：

建立了中间具有弹性板的矩形腔体内的声场模型，并在矩形腔体内的弹性板四周施加假想的弹簧系统以模拟弹性板不同的边界支承条件。该模型充分考虑了弹性板与两个腔体内声场之间的耦合以及弹性板的边界条件对腔体内声场的影响。通过算例分析表明，低频段时，由腔体1的内声场引起的弹性板的振动速度受线弹簧刚度的影响要大于旋转弹簧刚度的影响，支承弹性板的线弹簧刚度对腔体内声场与弹性板之间振动耦合的影响大于旋转弹簧刚度的影响;由弹性板振动而引起的腔体2内的平均声压随线弹簧刚度的增大而增加。

关键词: 矩形腔体, 耦合, 弹性支承, 假想弹簧