中文摘要：

通过建立多自由度结构减振系统多模态控制的力学模型,研究了多重调谐质量阻尼器减振系统的参数优化及最优振动控制效果。首先根据多自由度系统的多模态控制的特点,导出了多自由度结构及减振系统的传递函数和动力放大系数。利用动力放大系数最小作为优化目标,对减振系统进行了参数优化研究,进而研究了单模态控制和多模态控制的最优振动控制效果。结合实例计算与分析表明,该方法具有适用性强和精度高的特点。

英文摘要：

Parameter optimization and optimal vibration control effects of a multiple tuned mass damper （ MTMD） system are studied by establishing the dynamic model of the multi-modal control of the multi-degree-of-freedom structure and vibration control system.The transfer functions （ TF） and dynamic magnification factors （ DMF） of the multi-modal control of the multi-degrees-of-freedom structure and vibration control system are first derived.Then,parameter optimization of the vibration control system was performed,where the minimum of the dynamic magnification factor is used as the objective.Furthermore,the optimal vibration control effects of single modal control and multi-modal control are studied.Application examples are finally given and they indicate that this method has the characteristics of better suitability and high accuracy.