柔性悬臂结构极点配置阻尼设计与振动控制  

Damping design and vibration control of flexible cantilever structure pole placement

作　　者：程智 潘颖 张婷 刘彬[2] CHENG Zhi;PAN Ying;ZHANG Ting;LIU Bin(College of Mechanical and Automotive Engineering,Shanghai University of Engineering Science,Shanghai 201620,China;Xi’ an Satellite Control Center,Xi’ an 710043,China)

机构地区：[1]上海工程技术大学机械与汽车工程学院,上海201600 [2]西安卫星测控中心,陕西西安710042

出　　处：《西安科技大学学报》2020年第6期1081-1087,共7页Journal of Xi’an University of Science and Technology

基　　金：国家自然科学基金资助项目(11702168)。

摘　　要：随着航天航空技术的发展,航天航空等领域内智能结构的运转强度与工作精度的要求达到了新的高度,由于柔性悬臂结构自身存在结构阻尼特性,影响系统稳定的输出状况,大程度地缩短其使用周期。为研究柔性悬臂结构的振动特性,以智能悬臂梁结构为研究对象,首先通过动力学方程分析悬臂梁振动特性,压电陶瓷片力矩方程结合振型叠加法推导出四阶模态的悬臂梁振动微分方程,并用ANSYS有限元验证模型的正确性,然后运用极点配置控制算法给定智能悬臂梁结构初始位移激励使其做自由振动,采集位移信号作为输入来产生相应的控制电压抑制智能悬臂梁结构的自由振动,并通过仿真和实验证明极点配置控制算法的可靠性。结果表明:数值仿真中,输入信号为6 mm时,智能悬臂梁结构输出位移能够在5 s内迅速衰减保持在合理范围,控制电压也在5 s内趋于稳定;实验分析中,在初始位移激励为6 mm时,智能悬臂梁结构输出位移响应在6 s内迅速衰减保持在合理范围,其控制电压也在6 s内趋于稳定;数值仿真和实验分析的结果基本一致表明了极点配置控制算法能够切实有效的控制智能悬臂梁结构的自由振动。With the development of aerospace technology,the operation strength and working accuracy of intelligent structure have made great progress in aerospace and other fields.Due to the modal damping characteristics of flexible cantilever structure,the stable output of the system is affected,with its service cycle greatly shortened.To investigate the vibration characteristics of flexible cantilever structure,intelligent cantilever beam structure is taken as the research object.Firstly the dynamic equation is used to analyze the dynamic characteristics.The piezoelectric ceramic chip torque equation is combined with the modal superposition method of fourth order modal to ratiocinate the dynamic differential equations,and use ANSYS finite element model is proved to be correct using ANSYS,and then using the pole placement control algorithm for a given initial displacement excitation to do intelligent cantilever beam structure free vibration,collect displacement signals as the input to generate the corresponding control voltage suppression intelligent free vibration of cantilever beam structure,and the simulation and experiment prove the reliability of the pole placement control algorithm.The results show that:in the numerical simulation,when the input signal is 6mm,the output displacement of the intelligent cantilever beam structure can rapidly attenuate within a reasonable range within 5 s,and the control voltage tends to be stable within 5 s.In the experimental analysis,when the initial displacement excitation is 6 mm,the output displacement response of the intelligent cantilever beam structure rapidly attenuates within a reasonable range within 6 s,and its control voltage tends to be stable within 6 s.The results of numerical simulation and experimental analysis show that the pole placement control algorithm can effectively control the free vibration of intelligent cantilever beam.

关 键 词：智能结构 多阶模态 极点配置控制 振动控制 

分 类 号：TP29[自动化与计算机技术—检测技术与自动化装置]