华南理工大学学报(自然科学版) ›› 2012, Vol. 40 ›› Issue (5): 41-45,51.

• 机械工程 • 上一篇    下一篇

振动控制中的局部应变补偿和改进PPF 算法

马天兵 裘进浩季宏丽 袁明   

  1. 南京航空航天大学 机械结构力学及控制国家重点实验室,江苏 南京 210016
  • 收稿日期:2012-01-04 修回日期:2012-02-24 出版日期:2012-05-25 发布日期:2012-03-31
  • 通信作者: 裘进浩(1963-) ,男,教授,博士生导师,主要从事智能材料结构及应用研究. E-mail: qiu@nuaa.edu.cn E-mail:dfmtb@163.com
  • 作者简介:马天兵(1981-) ,男,博士生,安徽理工大学副教授,主要从事智能结构振动控制研究.
  • 基金资助:

    国家自然科学基金重点项目( 50830201) ;航空基金资助项目( 2010ZA23002) ; 江苏省普通高校研究生科研创新计划项目( CXLX11_0186)

Local Strain Compensation and Improved PPF Algorithm for Vibration Control

Ma Tian-bing  Qiu Jin-hao  Ji Hong-li  Yuan Ming   

  1. State Key Laboratory of Mechanics and Control of Mechanical Structures,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,Jiangsu,China
  • Received:2012-01-04 Revised:2012-02-24 Online:2012-05-25 Published:2012-03-31
  • Contact: 裘进浩(1963-) ,男,教授,博士生导师,主要从事智能材料结构及应用研究. E-mail: qiu@nuaa.edu.cn E-mail:dfmtb@163.com
  • About author:马天兵(1981-) ,男,博士生,安徽理工大学副教授,主要从事智能结构振动控制研究.
  • Supported by:

    国家自然科学基金重点项目( 50830201) ;航空基金资助项目( 2010ZA23002) ; 江苏省普通高校研究生科研创新计划项目( CXLX11_0186)

摘要: 为了克服压电结构振动同位配置中局部应变和正位移反馈( PPF) 算法补偿阻尼比的两面性问题,运用低通滤波器来滤除高频局部应变模态,用速度负反馈混合PPF 算法来进一步提高系统的阻尼比,通过劳斯判据分析了改进后算法的稳定性条件.以飞机壁板结构为研究对象,根据激光测振仪识别出其中的两阶模态振型,并粘贴压电片进行振动控制.仿真和实验结果表明,无论是在正弦激励还是随机信号激励下,混合了低通滤波、PPF 和速度负反馈( DVFB) 的新方法都能较大幅度降低结构的90Hz 和162Hz 模态振幅,并有效抑制单一PPF 实验过程中出现的谐波分量,两阶模态同时控制效果都达到10 dB以上.

关键词: 局部应变, 同位配置, 正位移反馈, 速度负反馈, 振动

Abstract:

In order to overcome the problems resulting from the local strain in the collocated configuration of piezoelectric structure and the compensation damping ratio of the positive position feedback ( PPF) algorithm,first,a new method is proposed,which uses a low-pass filter to attenuate the local high-frequency strain mode and employs the direct velocity negative feedback ( DVFB) to modify the PPF algorithm for the damping ratio improvement. Next,the conditions for the stability of the improved algorithm are analyzed according to the Royce criterion. Then,by taking a plane panel structure as the objective,an experiment is carried out to verify the proposed method,in which a laser scanning vibrometer is used to identify the shape of the two modes and piezoelectric patches are pasted for vibration control. Simulated and experimental results show that,under either sine or random signal excitation,the method integrating low-pass filtering,PPF and DVFB greatly reduces the mode amplitude at 90 and 162Hz and effectively suppresses the harmonic component during the single PPF experiment,with a simultaneous control effect of the two modes being up to more than 10 dB.

Key words: local strain, collocated configuration, positive position feedback, direct velocity negative feedback, vibration