大柔性压电梁振动主动控制实验研究与数值模拟

采用独立模态控制法对含压电片柔性梁进行了振动主动控制实验研究，实现了压电柔性梁前三阶振动模态的独立控制。由施加控制前、后的系统响应对比分析知，实施主动控制后，柔性结构的模态阻尼得到了很大的改善，振动抑制效果十分显著。同时利用Hamilton原理，推导含压电片柔性梁的动力学微分方程，对压电柔性梁前三阶振动主动控制进行了数值仿真，并将仿真结果与实验结果进行对比分析，两者的吻合性良好。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非常有效的振动主动控制方法，在航空航天等领域中具有广阔的应用前景。

Experimental study and numerical simulation of active vibration control of a highly flexible beam using piezoelectric intelligent material

Active vibration control of a flexible beam with piezoelectric pieces in the surface is investigated experimentally using the independent modal space control method, which is able to control the first three modes of the beam independently. A comparison between the responses of the beam before and after control indicates that the modal damping of the flexible beam is greatly improved and the effects of vibration suppression are very remarkable. The dynamic equation of the beam is deduced by Hamilton＇s principles, and numerical simulation of the active vibration control of the first three modes of the beam is also conducted in this paper. The simulation results match the experimental results very well. Both the experimental and numerical results indicate that by using piezo-patches as actuators the independent modecontrol method is a very effective approach to realize vibration suppression, which has promising applications in the aerospace field.