基于定点理论的串联黏滞质量阻尼器参数优化

Parameters Optimization of the Series Viscous Mass Damper Based on the Fixed-point Theory

基于定点理论,对一种串联黏滞质量阻尼器(SVMD)的参数优化问题进行了研究。首先,通过推导设置SVMD的结构响应传递函数,建立位移、加速度放大系数的统一表达形式。其次,基于定点理论,分别以位移、绝对加速度振幅最小为条件,得到相应的SVMD参数优化设计公式。最后,分别按照两种条件得到的优化公式,设计SVMD单自由度体系,并对其最优动力特性进行比较分析。结果表明,采用按两种条件优化设计的SVMD均可以有效降低结构的峰值响应;当质量比相同时,最小位移振幅条件下的优化刚度比和附加阻尼比均小于最小加速度振幅条件下的优化结果。

Based on fixed-point theory, this paper conducted a research on the parameters optimization of a tuned series viscous mass damper （SVMD）. Firstly, using the displacement transferring function of SVMD system, the expressions of amplification factors of displacement and acceleration are derived. Then, based on fixed-point theory, by setting the amplitudes of displacement and acceleration minimum, respectively, the corresponding optimal formula of the SVMD system are obtained. Last, using the obtained optimal formula, two kinds of SVMD systems are designed and the optimal dynamic characteristics are compared. It is found that, the SVMDs, respectively designed according to the two conditions, can both effectively suppress the structural response. What＇ s more, with the same mass ratio, the optimal stiffness ratio and additional damping ratio of the SVMD system by minimizing the displacement amplitude are smaller than those of the SVMD system by minimizing the acceleration amplitude.