中文摘要：

从辐射模态角度来研究封闭空间结构声的有源控制问题。导出了耦合封闭空间内的辐射模态，将封闭空间内的声势能解耦分解成互不影响的独立项，每项由一阶辐射模态单独形成；提出了以前G阶辐射模态的声势能作为控制目标的有源控制策略；给出了控制力的最优控制模型。对长方体封闭空间内结构声的有源控制仿真表明：一个控制力可以控制一阶辐射模态的声势能，而4个控制力控制前4阶辐射模态可以有效抑制低频范围内的声势能。

英文摘要：

The problem of active structural acoustic control in an enclosure using radiation mode is investigated. The response of the coupled enclosure is derived in terms of radiation modes. The potential energy in the enclosure can be decomposed into independent parts and the radiation modes contribute to potential energy independently. The control strategy for minimizing first G radiation modes with large radiation efficiency is proposed, and the optimal model of control forces is presented. Finally, a numerical simulation for minimizing sound transmission into a rectangular enclosure using the proposed method is conducted. Simulation results indicate that one control force can control one radiation mode and controlling the first four-order radiation modes with four control forces can achieve significant potential energy reduction at the low frequency range.