地震作用下结构主动调谐质量阻尼器最优控制设计

Optimum Control Design of Active Tuned Mass Damper for Structures Subjected to Earthquakes

基于Kanai-Tajimi地震动模型,建立了主动调谐质量阻尼器(ATMD)结构系统的位移和加速度传递函数.定义ATMD最优参数的评价准则为:设置ATMD结构的最大位移和加速度动力放大系数的最小值的最小化.ATMD有效性的评价准则定义为:设置ATMD结构的最大位移和加速度动力放大系数的最小值的最小化与未设置ATMD结构的最大位移和加速度动力放大系数之比.定义ATMD冲程的评价准则为:ATMD的最大位移动力放大系数.基于选择的评价准则,研究了地震卓越频率(EDF)对ATMD在控制结构位移和加速度响应时的最优参数、有效性和冲程的影响.

Based on the Kanai-Tajimi model for ground motions, the displacement and acceleration transfer functions are formulated for the Active Tuned Mass Damper (ATMD) structure system. The criteria for the ATMD optimum parameters can then be defined as the minimization of the minimum values of the maximum displacement and acceleration dynamic magnification factors (DDMF and ADMF) of the structure with the ATMD. The criteria used to evaluate the effectiveness of the ATMD are the ratios of the minimization of the minimum values of the maximum DDMF and ADMF of the structure with the ATMD to the maximum DDMF and ADMF of the structure without the ATMD, respectively. The criterion used to assess the ATMD stroke is the maximum DDMF of the ATMD, respectively, using the optimum parameters obtained in reducing the displacement and acceleration responses of structures. Employing the above-defined criteria, parametric studies for the effects of earthquake dominant frequency (EDF) are then carried out on the optimum parameters, effectiveness, and stroke of the ATMD in reducing the displacement and acceleration responses of structures.