简支矩形板声辐射的有源控制

文章以简支平板为例 ,通过声辐射模态研究结构声辐射的有源控制。首先分析了声辐射模态的数学和物理意义。由于在中、低频时 ,声辐射模态对应的辐射效率随着模态阶数的增加而迅速降低。在此基础上 ,文中提出了一种新的控制策略 ,即抵消前k阶声辐射模态的伴随系数 ,使得前k阶声辐射模态的声功率为零。文中以压电陶瓷作动器作为控制力源进行了数值计算研究。并与传统的控制策略———声功率最小化策略进行了比较。

Active control of simply supported rectangular panel radiated sound

In this paper, with an example of simply supported rectangular panel, it is presented active of control structure borne sound radiation by means of radiation modes. And physical characteristics and mathematical meaning of the radiation modes are analyzed. The radiation efficiency of the radiation modes falls off very rapidly with increasing modes order at low frequency. A new control strategy is developed in which by canceling the adjoint coefficient of the former k ranks radiation modes, the sound powers of the former k ranks radiation modes is zero theoretically. The numerical calculation is made by using PZT actuators as control forces. The results are compared with the traditional control strategy-the minimization of sound power.