基于压电作动器和反馈线性化方法的旋转悬臂梁振动控制
Vibration control of a rotating cantilever beam using piezoelectric actuator and feedback linearization method
摘要：
各种结构的振动，如涡轮机叶片，直升机和各种旋转机器人手臂，可能会损坏结构并破坏其性能和平衡。因此，研究此类结构的减振与控制具有重要意义。本文研究了压电层存在时旋转梁的耦合非线性振动。利用Von Karman应变位移导出了势方程。基于Hamilton原理建立了系统的非线性运动方程，并利用假设模态法推导了系统的两个常微分方程。此外，还提出了一种反馈线性化控制策略来抑制旋转梁的振动。根据运动方程，弯曲和扭转振动耦合。因此，弯曲模式的控制可以导致整个系统的控制。
英文摘要：
The vibration of various structures such as blades of turbines, helicopters, and all kinds of rotating robot arms can damage the structures and disrupt their performance and balance. Thus, investigation of the reduction and control of vibration of these structures is significant. In this paper, the coupled and nonlinear vibration of a rotating beam in the presence of the piezoelectric layer is considered. The Von Karman strain displacements are used for deriving the potential equation. The nonlinear equations of motion are obtained based on the Hamilton principle, and two ordinary differential equations are derived by the Assume Mode method. Besides, a feedback linearization control strategy is proposed for suppressing the vibration of the rotating beam. According to the equation of motion, flexural and torsional vibrations are coupled. Therefore, control of flexural mode can result in control of the whole system.
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