论文标题
使用压电执行器和反馈线性化方法对旋转悬臂梁的振动控制
Vibration control of a rotating cantilever beam using piezoelectric actuator and feedback linearization method
论文作者
论文摘要
各种结构的振动，例如涡轮机，直升机和各种旋转的机器人臂的振动会损害结构并破坏其性能和平衡。因此，研究这些结构振动的还原和控制是显着的。在本文中，考虑了在压电层存在下旋转光束的耦合和非线性振动。 von Karman应变位移用于推导电势方程。非线性运动方程是根据汉密尔顿原理获得的，并且通过假设模式方法得出了两个普通的微分方程。此外，还提出了一种反馈线性化控制策略来抑制旋转光束的振动。根据运动方程，弯曲和扭转振动是耦合的。因此，控制弯曲模式可以控制整个系统。
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.
