【摘要】 利用积分型本构关系,针对带支撑任意线性粘滞和粘弹性阻尼器单自由度耗能结构,建立了微分和积分混合地震响应方程;基于随机平均分析法,推导出耗能结构振幅与相位瞬态联合概率密度函数、位移与速度瞬态联合概率密度函数、位移与速度瞬态响应方差、振幅动力可靠性、振幅首超时间任意阶统计矩的一般解析解;给出了带支撑广义Maxwell阻尼器和广义微分模型阻尼器耗能结构上述各种随机响应特性,从而建立了带支撑任意线性粘滞和粘弹性阻尼器单自由度减震结构的各种随机响应特性分析的统一解析解法。更多还原

【Abstract】 By employing integral constitutive relations of dampers,the dynamic integro-differential earthquake response equation of SDOF dissipation structure with supporting brace and viscous and viscoelastic dampers in series is firstly established;By using stochastic averaging method,the analytical solutions of transient joint probability density function for structural amplitude and phase,for structural displacement and velocity are derived,the analytical solutions of transient mean-square values of structural displacement and velocity are established and the analytical solutions of structural amplitude dynamic reliability and arbitrary-order moments of amplitude first-passage time are obtained.The analytical formulas of the foregoing various random response characteristics for SDOF dissipation structure with supporting brace and generalized Maxwell model dampers and generalized differential model dampers in series are given,so the complete analytical solutions of the foregoing various random response characteristics for SDOF dissipation structure with supporting brace and arbitrary linear viscous and viscoelastic dampers in series are achieved.更多还原