多自由度高静低动刚度隔振系统的反馈控制研究  

Study on Feedback Control of Multi-DOF Vibration Isolation System with the High Static and Low Dynamic Stiffness

作　　者：刘树勇[1] 苏攀[1] 位秀雷[2] 刁爱民[1] LIU Shuyong;SU Pan;WEI Xiulei;DIAO Aimin(College of Power Engineering, Naval University of Engineering, Wuhan 430033, China;NO.91404 Troops of PLA, Qinhuangdao 066000, China)

机构地区：[1]海军工程大学动力工程学院,武汉430033 [2]中国人民解放军91404部队,秦皇岛066000

出　　处：《武汉理工大学学报（交通科学与工程版）》2020年第2期206-211,共6页Journal of Wuhan University of Technology（Transportation Science & Engineering）

基　　金：国家自然科学基金项目(51579242);国家自然科学基金青年基金项目(51509253);湖北省自然科学基金项目(2017CFB672);海军工程大学大学科研基金项目(425517K143)资助。

摘　　要：为了分析多自由度高静低动刚度隔振系统在反馈控制条件下的动力学特性,建立了含反馈控制的两自由度高静低动刚度隔振系统数学模型,应用平均法分析了系统振动幅值的时变特征以及系统响应的久期运动趋势.通过解析方法得到了相平面上的极限环和环带,预测了系统响应的周期和混沌等特性,并应用Lyapunov指数谱证实了理论预测的准确性.结果表明:通过反馈控制可使系统处于不同周期振动状态.In order to analyze the dynamic characteristics of multi-degree-of-freedom(multi-DOF)highstatic and lowdynamic stiffness vibration isolation system under the condition of feedback control,a mathematical model of two-degree-of-freedom high static and low dynamic stiffness vibration isolation system with feedback control was established.The average method was applied to analyze the time-varying characteristics of system vibration amplitude and the long-term motion trend of system response.The limit cycles and bands on the phase plane were obtained by analytical method,and the periodic and chaotic characteristics of the system response were predicted.The accuracy of theoretical prediction was verified by Lyapunov exponent spectrum.The results show that the system can be in different periodic vibration states through feedback control.

关 键 词：多自由度 隔振系统 反馈控制 平均法 

分 类 号：U664.21[交通运输工程—船舶及航道工程]