中文摘要：

为了提高单自由度Maxwell阻尼器减震结构的等效阻尼和频率的解析分析法的精度,首先基于一般线性粘弹性耗能结构动力响应特性完全由其自振特性确定的性质,以及实际工程中应用的Maxwell流体阻尼器和支撑—粘滞阻尼器复合系统均具有松弛时间较小的特性,重构了结构基本分析方程,然后基于自由振动特性完全相同的等效准则,采用多尺度方法获得了减震结构的一阶等效阻尼和频率的近似解析式,使减震结构可直接应用反应谱法进行抗震设计;并将上述分析法推广到单自由度广义Maxwell阻尼器减震结构。对比分析结果表明,文中方法优于经典的模态应变能法,对于工程常规的单自由度Maxwell阻尼器减震结构,在我国抗震规范要求的参数范围内,其计算误差可控制在3%以内。

英文摘要：

order to improve the calculation accuracy of analytical methods for equivalent damping and frequency of the single-degree-of-freedom structure with Maxwell damper,the multiple time scale method was studied. Firstly,the dynamic equation of the above system was reconstructed,which was based on the fact that the dynamic characteristics of general linear viscoelastically-damped structures were fully determined by its free vibration properties, and that the relaxation time constants of Maxwell fluid damper and supplemental brace-viscous damper in engineering were allsmall. Secondly,by using the multiple time scale method,the first-order approximately equivalent damping and frequency of the damper were obtained in closed form,which allowed the response spectrum technique to be applied to predict the maximum response of the structure. Lastly,the method was extended to the analysis of the generalized Maxwell damper structure. By comparing with the exact solutions,the accuracy of the proposed method was varied to be superior. Within the scope of the seismic code of China,the error of the proposed equivalent system for the regular abovementioned structure in engineering was less than 3%.