基于速度反馈控制的自激振动特性研究

Characteristics of self-excited vibration based on speed feedback control

工程中自激振动常被作为不利因素而加以抑制,然而在振动能量捕获等振动利用研究中,自激振动也有振幅响应大、抗干扰能力强等优点,利用自激振动作为振动驱动将具有极大的优势。以悬臂梁为研究对象,通过模态参数与测点组合条件,导出了基于速度反馈控制下各阶模态的变化模式,得到了产生自激振动的数值判据,并对单模态进入自激振动以后的非线性极限环现象进行了讨论。通过理论建模、数值仿真和控制实验及数据处理,验证了该研究的正确性。

Self-excited vibration is often suppressed as an unfavorable factor in many engineering fields. However, some special characteristics of self-exited vibration, such as, large amplitude response and strong anti-disturbances capability make it be an ideal driver for vibration utilization study, specifically, vibration energy harvesting. Herer, varying patterns of each mode and numerical criteria of self-excited vibration under control of velocity feedback were derived in studying cantilever beams with constraints of modal parameters and test points. One phenomenon, i. e. , the nonlinear limit-cycle produced by a single mode self-exited vibration was discussed as well. The correctness of this study was verified with theoretical modeling, numerical simulation, control tests and data processing.