基于左特征结构配置和频响函数的振动主动抑制方法  

Active vibration control method based on left eigenstructure assignment and frequency response function

作　　者：夏茂龙 杨涵寅 郭倚彤 刘双 李永正[1] XIA Maolong;YANG Hanyin;GUO Yitong;LIU Shuang;LI Yongzheng(School of Ship and Ocean Engineering,Jiangsu University of Science and Technology,Zhenjiang 212003,China;Shanghai Branch of China Ship Scientific Research Center,Shanghai 200011,China)

机构地区：[1]江苏科技大学船舶与海洋工程学院,江苏镇江212003 [2]中国船舶科学研究中心上海分部,上海200011

出　　处：《振动与冲击》2025年第8期143-150,208,共9页Journal of Vibration and Shock

基　　金：国家自然科学基金(52201366);江苏省研究生科研创新计划(KYCX24_4072)。

摘　　要：基于频响函数与左特征结构配置,提出了一种新的低频振动主动抑制方法。该方法利用频响数据避免了建模时的数值误差问题,建立了作动器分布、左特征向量以及外激励力之间的数学关系,实现了在外激励作用下,通过速度与位移反馈抑制了结构低频振动。基于此,进一步提出了一种优化作动器布置的方法,极大地降低了所需作动器的数量。算例仿真分析结果显示,此方法只需少量作动器,即可有效地抑制结构的振动,展现了良好的实用性和工程应用前景。A new active suppression method of low-frequency vibration was proposed based on frequency response function and the left eigenstructure assignment.The frequency response data was used to avoid the numerical error problem in modeling,and the mathematical relationship among the actuator arrangement,the left eigenvectors and the external excitation force was established.The low frequency vibration of the structure was suppressed by velocity and displacement feedback.Based on this,a method to optimize the actuator arrangement was proposed,which greatly reduces the number of actuators required.The simulation results show that this method can effectively suppress the vibration of the structure with only a few actuators,which shows good practicability and engineering application prospect.

关 键 词：频响函数 左特征向量 低频振动 主动控制 反馈控制 

分 类 号：TB535[理学—物理]