柔性基础准零刚度隔振系统全局性态分析  

Global Behavior Analysis of the Quasi-zero Stiffness Vibration Isolation System with Flexible Foundation

作　　者：赵建学[1] 俞翔[2] 柴凯[1] 杨庆超[2] ZHAO Jian-xue;YU Xiang;Chai Kai;YANG Qing-chao(College of Power Engineering, Naval University of Engineering, Wuhan 430033, China;Office of Research and Development, Naval University of Engineering, Wuhan 430033, C)

机构地区：[1]海军工程大学动力工程学院,武汉430033 [2]海军工程大学科研部,武汉430033

出　　处：《噪声与振动控制》2017年第3期19-23,51,共6页Noise and Vibration Control

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

摘　　要：以具有柔性基础的准零刚度隔振系统为对象,建立非线性隔振系统的动力学模型,并在大参数范围内分析其分岔特性。利用点映射方法并选取多个分析平面研究系统吸引子及其吸引域等全局特性,分析周期吸引子共存现象。研究表明,准零刚度非线性隔振系统随激励力幅值的变化呈现出非常复杂的动力学特性,多处出现吸引子共存现象,周期3运动的出现使得系统已经对初始条件具有了一定的敏感性。With the quasi-zero stiffness isolation system on a flexible foundation as an object,the dynamic model of the nonlinear vibration isolation system is established and its bifurcation characteristics are analyzed in a large range of parameters.The attractor and its attracting basins are investigated by using the point mapping method and selecting several analytical planes.The coexistence of periodic attractors is analyzed.The results show that the quasi-zero stiffness nonlinear vibration isolation system exhibits a very complicated dynamic behavior with the change of amplitude of the excitation force,and the coexisting of attractors.The occurrence of motion of period3makes the system to have some sensitivity to the initial conditions.

关 键 词：振动与波 准零刚度 全局性态 分岔 周期吸引子共存 

分 类 号：O328[理学—一般力学与力学基础]