轮带系统横向振动控制的Lyapunov方法  

TRANSVERSE VIBRATION CONTROL OF BELT DRIVE SYSTEMS BY LYAPUNOV METHOD

作　　者：余小刚[1] 张伟[1] 

机构地区：[1]福州大学机械工程及自动化学院,福州350002

出　　处：《机械强度》2013年第1期1-6,共6页Journal of Mechanical Strength

基　　金：福州大学科研启动基金(826230);福州大学科技发展基金(826807)资助

摘　　要：研究轴向运动弦线和作动器组成的耦合系统的横向振动控制。利用Hamilton原理给出弦线和作动器的动力学方程,作动器的动力学方程中包含有张紧轮的质量。采用Lyapunov方法分析未控弦线的有界性,获得控制律,并证明受控弦线的指数稳定性。通过数值仿真,给出初始扰动下弦线的横向振动位移曲线,证实控制规律的有效性。The transverse vibration control of an axially moving string system coupling the moving of actuator was investigated. The dynamic equations of string and actuator were derived via Hamilton＇s principle, and the dynamic equation of the actuator contained the mass of the tensioner pulley. Then the Lyapunov method was employed to prove the boundedness of the transverse vibration of the uncontrolled string, designed the controlled law for reducing the transverse vibration of the controlled string, proved the exponentially stable of the controlled string. By numerical simulation, the transverse vibration displacement diagrams under initial disturbance were given, and the effectiveness of the controller was demonstrated.

关 键 词：横向振动控制 轴向运动弦线 LYAPUNOV 作动器 张紧轮 数值仿真 

分 类 号：TB535[理学—物理] TH132.32[理学—声学]