非对称结构扭转振动多重调谐质量阻尼器(MTMD)控制的最优位置

研究了非对称结构扭转振动多重调谐质量阻尼器(MTMD)控制的最优位置。本文采用的MTMD具有相同的刚度、阻尼，但质量不同。基于导出的设置MTMD时非对称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：非对称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：非对称结构最大扭转角位移动力放大系数的最小值的最小化与未设置MTMD时非对称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，研究了非对称结构的标准化偏心系数(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 placements of multiple tuned mass dampers (MTMD) for suppressing torsional vibration of asymmetric structures

The main objective of this paper is to determine the optimum placements of the multiple tuned mass dampers (MTMD) for asymmetric structures. The MTMD here is kept to have the same stiffness and damping but unequal mass. Based on the torsional displacement transfer function of the asymmetric structure with MTMD, the analytical expression is developed for the torsional displacement dynamic magnification factor. The assessment criterion of the optimum parameters of MTMD is defined to be the minimization of the minimum values of the maximum torsional displacement dynamic magnification factors. The evaluation criterion of the effectiveness of MTMD is defined as the ratio of the minimization of the minimum values of the maximum torsional displacement dynamic magnification factors to the maximum of the torsional displacement dynamic magnification factors of the asymmetric structure without MTMD. In terms of the defined criteria, the influences of the normalized eccentricity ratio (NER) and torsional to translational frequency ratio (TTFR) of the asymmetric structure on the optimum parameters and effectiveness of the MTMD with different placements are studied.