非线性准零刚度系统分岔控制方法  

Bifurcation Control Method for Nonlinear Quasi-zero Stiffness System

作　　者：蔡福建 邵敏强[1] CAI Fujian;SHAO Minqiang(State Key Laboratory of Mechanics and Control of Mechanical Structures,Nanjing University of Aeronautics&Astronautics,Nanjing 210016,China)

机构地区：[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,南京210016

出　　处：《南京航空航天大学学报》2023年第4期686-692,共7页Journal of Nanjing University of Aeronautics & Astronautics

基　　金：国家自然科学基金(11732006);航空科学基金(20200028052013)。

摘　　要：以超稳定车载隔振平台为依托,建立环绕式侧向弹性支撑构成的准零刚度系统,研究该系统的非线性动力学特性和振动主动调节方法,以获得优异的振动隔离效果。根据系统总体刚度和位移关系确定系统结构参数,采用谐波平衡法求解获得系统动力学响应规律和非线性幅频响应函数。进一步对系统的非线性分岔特性进行主动控制方法研究,获得准零刚度系统的分岔控制方法,通过选取适当的控制参数消除系统分岔。仿真结果表明:分岔控制方法在合适的控制参数下能有效消除分岔以及达到振动抑制的效果。Relying on the ultra‑stable vehicle‑mounted vibration isolation platform,a quasi‑zero stiffness system composed of wrap‑around lateral elastic supports is established,and the nonlinear dynamic characteristics of the system and the active vibration adjustment method are studied to obtain excellent vibration isolation effect.The structural parameters of the system are determined according to the relationship between the overall stiffness and displacement of the system,and the harmonic balance method is used to obtain the dynamic response law and nonlinear amplitude‑frequency response function of the system.The nonlinear bifurcation characteristics of the system are further studied on the active control method,the bifurcation control method of the quasi‑zero stiffness system is obtained,and the bifurcation of the system is eliminated by selecting appropriate control parameters.The simulation results show that the bifurcation control method can effectively eliminate the bifurcation and achieve the effect of vibration suppression under the appropriate control parameters.

关 键 词：振动控制 准零刚度系统 非线性特性 分岔控制 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]