摘要
提出了应用可控磁悬浮技术来解决传统隔震器在竖向振动控制方面所面临的难题,导出了基于可控磁悬浮技术的单自由度磁浮式控制系统的动力学方程,讨论了系统的稳定性,并应用数值方法,对系统在地面竖向谐振激励下的响应进行了定量分析,研究了系统的响应及其激振频率和初始悬浮高度之间的关系。结果表明,受控体的初始悬浮位置是系统的稳定平衡点,且对有阻尼自治系统是渐进稳定的,而对无阻尼自治系统是L稳定的;系统的幅频特性曲线没有不稳定区和跳跃现象;当激励频率或初始悬浮高度小于某一特定值时,系统响应随激励频率或初始悬浮高度的增加迅速减小,而当大于该特定值时,系统响应的变化很小。
A new approach based on controllable magnetic levitation technology to solve the intractable problem in isolating vertical vibration is proposed in this paper. The governing equation of SDOF vibration control system based of controllable magnetic levitation technique is derived. The stability of the system is discussed. Dynamic responses of the system subjected to the harmonic ground motion are studied by numerical approach. The amplitude of the response with respect to the excitation frequency and initial suspension height are investigated. The results indicate that the oscillation about the initial suspension position is a stable equilibrium point, which is hyperbolic and asymptotically stable in damped autonomous system and is Lyapunov stable in no damped autonomous system. The response amplitude-frequency curves have no jumping phenomena and unstable area. The responses of the system are raptly minished with the augment of excitation frequency or initial suspension height which less than a certain value while less changed when they are greater than the value.
出处
《工程抗震与加固改造》
北大核心
2009年第2期49-54,共6页
Earthquake Resistant Engineering and Retrofitting
基金
国家自然科学基金项目(6508001479)
关键词
非线性振动
磁悬浮技术
振动控制
nonlinear oscillation
magnetic levitation technique, vibration control
