六参数实用粘弹性阻尼器单自由度减震系统非平稳响应分析

Response analysis of the SDOF energy dissipation system with six-parameter practical viscoelastic damper under non-stationary seismic excitation

对设置支撑的六参数实用阻尼器单自由度减震系统非平稳随机地震响应问题进行了系统的研究.首先,建立设置支撑粘弹性阻尼器的等效本构关系,用积分微分方程对结构实现时域非扩阶精确建模;然后,采用传递函数法,直接在耗能结构原始空间上获得减震系统在非零初始条件和任意激励下结构位移、速度和阻尼器受力的时域瞬态响应非扩阶模态叠加精确解;采用两种均匀调制白噪声和均匀调制滤过白噪声非平稳地震激励模型,获得减震系统的结构位移、速度和阻尼器受力的非平稳响应解析式.所获得的结构系统时域瞬态响应解析解和非平稳地震响应解析式,可为建立结构系统各构件抗震动力可靠度和基于模态叠加的反应谱抗震设计法提供分析路径.

An analysis for response of single-degree-of-freedom(SDOF)systems of energy absorber with six-parameter practical dampers subjected to random seismic is performed.An accurate model of the system considering brace stiffness without expansion is established in time domain using integral differential equations which are solved by method of transfer function and analytical solutions of structural response such as displacement,velocity and damper force are obtained under nonzero initial conditions and any random excitation by using modal superposition method without expanding order.Non-stationary response analysis of structure displacement,velocity and damper force of the system is proposed based on two typical white noise non-stationary earthquake excitation:uniform modulation and filtered uniform modulation.It is helpful to apply mode superposition and response spectrum of earthquake-resistant method into civil engineering design.