MTMD控制非对称结构扭转振动的最优位置

研究了用两组相同的MTMD来控制非对称结构扭转振动的最优位置。MTMD具有相同的刚度和阻尼系数但不同的质量。基于导出的设置MTMD时结构扭转角位移传递函数,建立了扭转角位移动力放大系数解析式。MTMD最优参数的评价准则定义为:结构最大扭转角位移动力放大系数的最小值的最小化。MTMD的有效性评价准则定义为:结构最大扭角转位移动力放大系数的最小值的最小化与无MTMD时结构最大扭转角位移动力放大系数的比值。基于定义的评价准则,研究了标准化偏心系数(NER)和扭转对侧向频率比(TTFR)对不同位置MTMD最优参数和有效性的影响。

Optimum Placement of MTMD for Torsional Vibration of Asymmetric Structures

The main objective of this paper is to determine the optimum placement of two sets of identical multiple tuned mass dampers(MTMD)for asymmetric structures. Each damper within the MTMD possesses the same stiffness and damping coefficient but unequal mass. Based on the torsional displacement transfer function of the asymmetric structure with MTMD, the analyticalexpression is developed for the torsional displacement dynamic magnification factor. The assessment criterion of the MTMD optimum parameters is defined to be the minimization of minimum values of maximum torsional displacement dynamic magnification factors. The evaluation criterion of the effectiveness of MTMD is defined as the ratio of the minimization of minmum values of maximum rorsional displacement dynamic magnification factors to the maximum of torsional displacement dynamic magnification factors of the asymmetric structure without MTMD. In terms of the abovedefined criteria, the influences of the normalized eccentricity ratio(NER) and the torsional to translational frequency ration(TTFR) on the optimum parameters and effectiveness of the MTMD with different placements are studied.