基于C-P谱分析设置支撑的广义Maxwell阻尼器系统完全非平稳地震响应

Analytical method for full non-stationary responses of dissipation system with brace-general Maxwell damper based on C-P spectrum

对设置支撑的广义Maxwell阻尼单自由度减震系统完全非平稳随机地震响应问题进行了系统的研究。首先,建立设置支撑广义Maxwell阻尼器的等效本构关系,用积分微分方程实现结构时域非扩阶建模;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任意激励和非零初始条件下结构位移、速度和阻尼器受力、受力速率的时域瞬态响应解析解;最后,基于地震动的强度非平稳和频率非平稳,采用Conte和Peng所提出的完全非平稳地震动功率谱模型,获得减震系统的结构位移、速度和阻尼器受力、受力速率的完全非平稳响应解析式。所获得的结构系统时域瞬态响应解析解和完全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。

Full non-stationary random seismic responses of SDOF(single-degree-of-freedom)dissipation structure with brace-general Maxwell damper system are studied systematically.The constitutive relation of the equivalent damper and the exact dynamic integral-differential response equations in original structural space for SDOF dissipation structure with brace-general Maxwell damper system are firstly established.Then,by transfer function method,the exact solution in original structural space for transient responses of the brace-general Maxwell damper as well as the overall structure due to arbitrary exterior dynamic loading and initial conditions are obtained.Finally,based on the non-stationary intensity and frequency of earthquake motion,by the fully non-stationary seismic power spectrum model proposed by Conte and Peng,the full non-stationary response solutions of the displacement and velocity of structure and damper force are obtained.The exact modal superposition solutions and full non-stationary random seismic response solutions can provide an analytical path on seismic dynamic reliability and seismic design method based on the modal superposition response spectrum.