利用积分型本构关系,建立了带支撑的一般粘滞和粘弹性阻尼器单自由度耗能结构的微分-积分混合地震响应方程;基于与随机平均分析完全相同的等效准则,推导了可直接应用反应谱的阻尼器的等效刚度和等效阻尼的解析公式;得到了带支撑广义Maxwell阻尼器和广义微分模型阻尼器的等效刚度和等效阻尼的一般结果。通过与一些典型问题的数值计算结果比较,表明了所提方法的有效性。 Based on the integral constitutive relation, the differential-integral mixed seismic response equation of a single-degree-of-freedom dissipative structure with support for general viscous and viscoelastic dampers is established. Based on the same equivalent criteria as stochastic averaging analysis, The equivalent stiffness of the damper and the analytical formula of the equivalent damping are directly applied. The general results of the equivalent stiffness and the equivalent damping of the damper with supportive generalized Maxwell damper and generalized differential model are obtained. The numerical results of some typical problems are compared to show the effectiveness of the proposed method.