摘要
提出了一种新控制策略——主动开闭环多重调谐质量阻尼器(AMTMD)。AMTMD控制系统频率呈线性分布。AMTMD中的MTMD保持相同的刚度和阻尼系数但质量变化。基于TMD的工作原理定义了AMTMD的主动控制力构成即保持相同的位移和速度反馈增益系数但变化结构和地震加速度反馈增益系数。基于结构的广义振型模型,导出了设置AMTMD时结构的动力放大系数(DMF),于是优化准则可定义为:Min.Min.Max.DMF.通过最优搜寻,研究了反映AMTMD有效性和鲁棒性的参数。这些参数包括:频率间隔、平均阻尼比、调谐频率比、总数、质量比和标准化加速度反馈增益系数。为了比较,多重调谐质量阻尼器(MTMD)和主动开闭环调谐质量阻尼器(ATMD)也被考虑。
A new control strategy-active open-closed-loop multiple tuned mass dampers (AMTMD), which consists of many active tuned mass dampers (ATMDs) with a uniform distribution of natural frequencies has been proposed for attenuating undesirable vibrations of structures under the ground acceleration. The MTMD in the AMTMD is manufactured through keeping the stiffness and damping constant and varying the mass. In according to the basic principle of the passive tuned mass damper (TMD), the active control forces of AMTMD are defined, namely the control forces are generated through keeping the identical displacement and gaining velocity feedback, however varying the structural and earthquake acceleration feedback gains. Moreover, based on the mode generalized model in the specific vibration mode being controlled, the expression for the dynamic magnification factor (DMF) of the structure with AMTMD is formulated. The criterion for the optimum searching can then be defined as the minimization of the minimum values of the maximum dynamic magnification factors (i.e. Min. Min. Max. DMF). With resorting to the selected criterion, the research on the parameters reflecting the effectiveness and robustness of AMTMD is conducted. The parameters include the frequency spacing, average damping ratio, tuning frequency ratio, total number, mass ratio, and normalized acceleration feedback gain coefficient. Additionally, for the sake of comparison, the results of MTMD and open-closed-loop ATMD are also taken into account.
出处
《计算力学学报》
EI
CAS
CSCD
北大核心
2003年第6期691-696,共6页
Chinese Journal of Computational Mechanics
基金
国家自然科学基金(50278054)资助项目.