压电智能梁振动控制的样条小波分解法  

Spline Wavelet Decomposition Method for Vibration Control of Piezoelectric Smart Beams

作　　者：王杰[1] 周又和[1] 

机构地区：[1]兰州大学力学系,兰州730000

出　　处：《振动工程学报》2002年第3期279-284,共6页Journal of Vibration Engineering

基　　金：国家杰出青年科学基金 (编号 :10 0 2 5 2 0 8);教育部高校骨干教师基金;教育部高校博士点专项基金的资助项目

摘　　要：基于 L agrange动力学方程 ,采用样条小波分解提出了一种用于压电智能梁振动控制的假设模态法。首先对梁的挠曲函数进行了样条小波分解 ,将其分解为不同频带上的分量 ,然后对分解式作高频截断 ,导出了具有反馈控制的动力学系统的运动微分方程。对传感器观测到的梁的挠度进行了尺度函数变换 ,由于尺度函数是低通窗函数 ,所以变换后将会滤掉挠度中的高频带分量 ,这样就可避免观测溢出信息进入控制器造成闭环系统的失稳。最后 ,进行了数值仿真 ,结果表明 :使用本文提出的方法对梁进行振动控制效果良好。Based on the Lagrange's dynamic equations, a new method for active vibration control of piezoelectric smart beams is developed using spline wavelet decomposition in this paper. Firstly, the deflection of the beam is decomposed into components in different frequency bands with spline wavelet decomposition. Neglecting high order frequency components the differential equations of the closed-loop system are derived. Then, the observed deflection of the beam is transformed through scaling function. Due to the scaling function is a low pass window function, after scaling function transformation the deflection doesn't include high order frequency components. It can eliminate observation spillover, which usually makes the closed loop system unstable. Finally, a numerical simulation example shows that the method suggested in this paper is effective and simpler than conventional method.

关 键 词：智能结构 振动控制 样条函数 小波分解 观测溢出 压电结构 

分 类 号：O342[理学—固体力学] O328[理学—力学]