【摘要】 为了研究黏弹性材料频率依赖性对黏弹性调谐质量阻尼器控制性能的影响,引入了黏弹性材料的等效分数阶开尔文模型,建立了结构-黏弹性调谐质量阻尼器系统的动力方程.定义了储能模量和损耗因子的频率依赖性指标,分析了频率依赖性指标对受控结构和阻尼器动力响应的影响规律,通过数值算例验证了黏弹性调谐质量阻尼器良好的控制效果.结果表明:黏弹性材料储能模量的频率依赖性水平越高,黏弹性调谐质量阻尼器的控制效果越好,其自身的响应越小;损耗因子的频率依赖性水平对黏弹性调谐质量阻尼器控制效果影响较小,但其数值大小直接影响了黏弹性调谐质量阻尼器的最优频率比和控制效果.更多还原

【Abstract】 To study the effects of the frequency-dependences of viscoelastic materials( VEM) on viscoelastic tuned mass damper( VTMD),an motion equation of the structure-TMD system is established by introducing the equivalent fractional Kelvin model of VEM. Then,the indicators expressing the level of frequency-dependence of storage modulus and loss factor are defined,and their influences on the dynamic responses of controlled structure and VTMD itself are analyzed. Finally,a numerical example is used to illustrate the good performance of VTMD. The results show that the VTMD with the stronger frequency-dependence of storage modulus has the better control efficiency and smaller dynamic response.The effect of the frequency-dependence of the loss factor on the control efficiency is smaller,but the value of the loss factor can determine the optimal design parameters and control efficiency of VTMD.更多还原