简支平板上多个惯性主动吸振器的控制原理以及数值分析

Control mechanism and numerical analysis of proof mass electromagnetic actuators on the simply supported plate

文章使用阻抗方法建立了多个吸振器分布式反馈控制简支平板的振动模型,数值计算分析了这种控制方式的机理。惯性吸振器的电磁力、惯性力与弹性力耦合产生作用力于简支平板,惯性吸振器之间通过平板振动也会产生耦合,通过数值模拟揭示了反馈控制方式的"模态控制"和"主动阻尼"的机理,吸振器的数量和分布范围越大,控制的振动频率范围和控制性能就会越高,为吸振器的优化布置提供了理论支撑。辐射声功率为目标函数对反馈控制机理进行了分析,低频时奇—奇模态占辐射主要贡献成分,中心位置的单个吸振器就可以取得很好的辐射声控制效果。

This paper builds the theoretical model of multiple proof mass actuators controlling the simply-supported plate by velocity decentralized feedback, then the control mechanism is analyzed from numerical results. The electromagnetic force, inertial force and elastic force are coupled together to excite the plate and the coupling among actuators are transmitted through the plate. Modal control and active damping are revealed from numerical results, more actuators are used and more frequency range and control performance are obtained, this supports the actuator’s distribution method.Radiation sound power as object function is analyzed, odd-odd modes in the low frequency dominate the radiation and single actuator in the middle of panel can achieve good radiation control performance.