地震作用下基于ADMF和系统参数组合的最优MTMD

Optimum Multiple Tuned Mass Dampers based on ADMF and the combinations available of the system parameters under earthquake

多重调谐质量阻尼器 ( MTMD)是由许多频率成线性分布的调谐质量阻尼器组成。可能的系统参数组合形成 5种 MTMD,即 MTMD-1～MTMD-5。基于在基底加速度作用下具有一般 MTMD时结构的加速度传递函数 ,建立了 MTMD-1～ MTMD-5加速度动力放大系数 ( ADMF)的统一模式。利用 ADMF和数值寻优技术进行了详细的最优参数研究。最优参数包括 :最优频率间隔、最优阻尼比、最优调谐频率比。大量的数值比较表明 :在MTMD地震反应控制工程中 ,应优先选择 MTMD-1。

Multiple Tuned Mass Dampers (MTMD) consists of many tuned mass dampers with an uniform distribution of natural frequencies. Five types of MIMD (i.e. MTMD1-MTMD5) are formed in light of the combinations available of the system parameters. Based on the acceleration transfer function of the structure with general MTMD under the ground acceleration, the unified expression for the Acceleration Dynamic Magnification Factor (ADMF) is derived for MTMD1-MTMD5. Utilizing a numerical searching technique, a study is performed to investigate the optimum parameters, which includes the optimum frequency spacing, optimum damping ratio, optimum tuned frequency ratio. It is demonstrated from the comparison that it is preferable to select the MTMD1 when an MTMD is considered in the mitigation of the acceleration of the acceleration response of structures under earthquake.