非线性基础隔离结构振动控制研究

以采用基础隔离的建筑结构为研究对象,以摩擦摆作为隔离支撑进行振动主动控制研究.为便于控制方法的设计,把振动方程中隔离系统的非线性部分作为外激励.在状态方程和控制力求解方面,提出了一种实用的双状态方程法.为了降低隔离系统的响应,提出以层间响应作为输出的LQG控制策略.此外,为了提高控制系统的稳定性,在控制器设计中引入了相对稳定性矩阵.在Kalman滤波器设计方面,采用了第三代基础建筑物所定义的方式.最后给出了仿真分析与试验对比.

Research on vibration control of nonlinear base-isolated structures

Taking the building structures with base-isolation as study object,the vibration active control of friction pendulum isolation bearings is investigated.On purposes of control algorithm design,the nonlinearities of the isolation system of vibration equations are treated as a form of outer excitation.To solve the state equations and control force,this paper presents a practical double-state-equations method.Meanwhile,a linear quadratic Gaussian(LQG) control strategy with inter-story output responses is provided to reduce the responses of isolation system.In addition,a relative stability matrix is introduced to meliorate the stability of control system.The Kalman filter is in the form defined by the third benchmark buildings.Finally,the simulation analysis and experimental comparison are given.