两自由度高静低动刚度隔振系统的广义混沌同步化  

Generalized chaotic synchronization for two-degree-of-freedom vibration isolation system with high-static-low-dynamic-stiffness

作　　者：杨庆超[1,2] 柴凯 楼京俊[1] 朱石坚[1] YANG Qing-chao;CHAI Kai;LOU Jing-jun;ZHU Shi-jian(College of Naval Architecture and Ocean,Naval University of Engineering,Wuhan 430033,China;Scientific Research and Academic Department,Naval University of Engineering,Wuhan 430033,China)

机构地区：[1]海军工程大学舰船与海洋学院,湖北武汉430033 [2]海军工程大学科研学术处,湖北武汉430033

出　　处：《振动工程学报》2018年第4期620-628,共9页Journal of Vibration Engineering

基　　金：国家自然科学基金资助项目(51579242;51679245);国家自然科学基金青年基金资助项目(51509253)

摘　　要：针对目前潜艇动力机械系统的线谱控制方法难以实现小能量控制混沌化、变工况下持续混沌化和小振幅混沌化难题,提出了基于状态反馈和开环加非线性闭环耦合的两自由度高静低动刚度隔振系统广义混沌同步化方法。首先,建立两自由度高静低动刚度隔振系统的动力学模型,分析其全局性态;然后,利用Chen系统作为驱动信号,采用Hooke&Jeeves方法优化控制增益,通过状态反馈实现变工况下的持续混沌化;最后,利用开环加非线性闭环耦合的广义混沌同步实现高静低动刚度隔振系统大参数范围和小振幅混沌化。仿真结果表明,虽然基于状态反馈的广义混沌同步能实现两自由度高静低动隔振系统持续混沌化且线谱强度有所降低,但基座的振动幅值相比未混沌化前急剧加大;而基于开环加非线性闭环耦合的广义混沌同步能同时实现两自由度高静低动隔振系统变工况下的持续混沌化和小振幅下的混沌化,不仅能显著降低线谱强度,而且能有效抑制被隔振物体的振幅,解决了一般意义的混沌化方法无法解决的线谱抑制和振动隔离之间的冲突。In order to cope with three obstacles,i.e.how to induce chaos with tiny control energy,how to maintain chaotic motion and how to obtain chaos under small amplitude of the chaotification technique for line spectra reduction in the power mechanical system of submarines,an state feedback and an open-plus-nonlinear-closed-loop(OPNCL)coupling generalized chaotic synchronization method are presented based on two-degree-of-freedom(2DOF)vibration isolation system(VIS)with high-static-low-dynamic-stiffness(HSLDS).Firstly,the dynamic equation of the 2DOF-HSLDS-VIS is established and its global characteristics in the whole phase space are analyzed;secondly,a method of generalized chaotic synchronization is employed by using the response of Chen system as driving signal and the Hooke&Jeeves optimization strategy is employed to optimize the control gain,which made the chaotic motion persistent in the 2DOF-HSLDS-VIS.Finally,a method of generalized chaotic synchronization under large parameter region and small amplitude in the 2DOF-HSLDS-VIS is presented by using an OPNCL coupling strategy.Numerical simulation results show that the state feedback generalized synchronization method can make the chaotic motion persistent and reduce the dominating line spectra in the 2DOF-HSLDS-VIS,but the amplitude of the isolated equipment is larger in the chaotic state than that of the former.While the OPNCL coupling generalized synchronization method can maintain chaotic motion and obtain chaos even under small amplitudes in the 2DOF-HSLDS-VIS.This method not only possesses an excellent isolation performance of vibration and line spectra,but also reduces the amplitude of the isolated equipment notably,which solves the contradiction of line spectra suppression and vibration isolation performance by using the generic chaotification method.

关 键 词：隔振系统 状态反馈 开环加非线性闭环 广义混沌同步 高静低动刚度 

分 类 号：TB535.1[理学—物理] O322[理学—声学]