柔性智能结构的振动主动控制仿真和实验研究

Research on Simulation and Experiment of Active Vibration Control for Flexible Smart Structure

基于模态坐标表示的含压电片结构横向振动系统方程,采用独立模态法直接针对系统的高阶模型设计控制律,利用劳斯判据证明由所设计的控制器引起的控制溢出可被有效抑制,极大地降低了由于模型降阶引起的误差。同时,对压电柔性悬臂梁的高阶振动模态进行主动控制仿真模拟和实验研究,结果表明施加主动控制后柔性悬臂梁的模态阻尼显著提高,受控悬臂梁的振动得到了快速抑制。仿真计算和实验结果取得了良好的一致性。研究结果表明,利用压电陶瓷作为驱动元件,采用独立模态控制法实现柔性结构的振动抑制是一种高效的振动主动控制方法,在航天航空等领域中具有广阔的应用前景。

The control law is designed for high order model of structure directly with independent mode control method based on the system equation of transverse vibration of beam with piezoelectric patches described with modal coordinate.It is proved by Routh criterion that control spillover can be restrained effectively and error caused by model reduction is decreased immensely.Then simulation and experiment of active vibration control on high order vibration modes of flexible cantilever beam are conducted.Results indicate that the modal damping of beam is great increased after control,and the vibration of the controlled beam is suppressed rapidly.Numerical result matches experimental result very well.Both research results indicate that the independent modal control method using piezoelectric patch as driving element is a very effective approach to realize vibration suppression,which has promising applications in aerospace field.