粘滞和粘弹性阻尼器减震结构的等效阻尼

Equivalent damping of dissipation structures with viscous and viscoelastic dampers

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。

The dynamic integro-differential earthquake response equations of SDOF dissipation structure with supporting brace and viscous and viscoelastic dampers in series are firstly established by employing integral constitutive relations of dampers;Then,by the stochastic averaging method and the equivalence criterion of which all random response characteristics are same in the meaning of stochastic averaging analysis,the analytic formulas of equivalent stiffness and damping of arbitrary linear viscous and viscoelastic dampers with supporting brace are established,which make it possible for the structure analysis to use response spectrum technique;And then,the analytic formulas of equivalent stiffness and damping of generalized Maxwell model dampers and generalized differential model dampers with supporting brace are given.It is verified that the proposed method is effective through numerical comparison for some typical problems.