摘要
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.
出处
《应用力学学报》
CAS
CSCD
北大核心
2011年第4期328-333,447,共6页
Chinese Journal of Applied Mechanics
基金
广西高校百名中青年学科带头人计划(RC20060814017)
广西自然科学基金(0481001)
广西科学基金(0575021)
广西教育厅科研项目(0508052)
关键词
粘滞和粘弹性阻尼器
支撑
随机平均法
等效刚度
等效阻尼
viscous and viscoelastic dampers,brace,stochastic averaging method,equivalent stiffness,equivalent damping
