中文摘要：

为建立积分型粘弹性阻尼器耗能结构的精确设计方法,对单自由度结构在任意激励和非零初始条件下的时域瞬态响应精确解进行了系统研究。首先采用线性粘弹性阻尼器的一般积分型精确分析模型,用微分积分方程实现了单自由度结构的时域非扩阶精确建模;然后采用传递函数法,直接在耗能结构非扩阶空间上获得了变频耗能结构在任意激励和非零初始条件下位移与速度时域瞬态响应的解析表达式;最后,基于此精确解得到了结构在平稳Kanai-Tajimi谱随机地震激励下响应方差的解析表达式。通过与扩阶复模态法结果的对比分析,验证了所获精确解的正确性和简易性,表明建立了适用于单自由度积分型粘弹性阻尼器耗能结构的优效解析方法。

英文摘要：

In order to establish an accurate design method for general linear viscoelastic damping energy dissipation structures,a systematically research on the time domain transient response exact solution of structure that have single degree of freedom was conducted under arbitrary excitation and non-zero initial condition. A general integral accurate analysis model of linear viscoelastic damper was adopted,and a precise non-extended order model in time domain of structure that had SDOF（ single degree of freedom） was created by applying the differential-integral equation. The transientdisplacement and velocity response analytical expressions of variable frequency energy dissipation structure in time domain under arbitrary excitation and non-zero initial condition were obtained directly in non-extended order space of energy dissipation structure using the transfer function method.The analytical expression of response variance of structure that met with stationary random seismic excitation of Kanai-Tajimi spectrum was established by applying the exact solution obtained in this paper. It is proved that this exact solution is correct and simple,compared with the consequences obtained by employing the complex model method of extended order,which suggests that an effective analytical solution has been built and the solution is applicable to general linear viscoelastic damping energy dissipation structures of SDOF.