作　　者： (王梦祥）; (李创第）; (葛新广）; (李暾）; (邹万杰）;

机构地区： 广西科技大学土木建筑工程学院,广西柳州545006

出　　处： 《广西大学学报（自然科学版）》 2017年第4期1256-1272,共17页

摘　　要： 对单自由度带支撑五参数Maxwell阻尼耗能系统非平稳随机响应进行系统研究。基于积分微分方程实现结构时域非扩阶精确建模;采用传递函数法,直接在耗能结构原始空间获得减震系统在任意的激励和非零初始条件下结构位移和速度、支撑和阻尼器位移与速度以及阻尼器受力的时域响应精确解;进而针对7种经典调制白噪声地震激励和2种四参数可调的巴斯金谱地震激励,获得减震系统的结构位移与速度、支撑和阻尼器位移与速度以及阻尼器的受力随机平稳响应方差精确解;并使耗能结构系统非平稳随机响应的解析分析与计算完全转化为减震结构在原始空间的特征值解析分析与计算;从而构建了基于减震结构的非扩阶特征值分析,获得带支撑单自由度五参数Maxwell阻尼减震系统非平稳地震响应解析解的一套方法。 Non-stationary random seismic response of the SDOF（ single-degree-of-freedom）dissipation structure with five-parameter Maxwell damper was studied systematically. Firstly,the exact dynamic integral-differential equations in the original structural space for the dissipation system with Maxwell damper were established. Then,by using the transfer function method,the exact solution of the displacement and velocity transient response of the brace,the viscoelastic damper and the entire structure due to arbitrary exterior dynamic loads and initial conditions were obtained in the original structural space,and the exact solutions in the original structural space to the transientresponse of viscoelastic damper force and its time derivative under the same exterior loads and initial conditions were also obtained. As for the seven kinds of classical uniformly-modulated white noise and the two kinds of four-parameter adjustable Baskin stationary seismic excitations,the exact variance solutions to the displacement and velocity of the brace,the viscoelastic damper and the entire structure were obtained. And,the exact variance solutions to the viscoelastic damper force and its time derivative were also obtained,which can also be expressed by using eigenvalues and eigenvectors in the structural original space,so the complete analytical method for exact nonstationary seismic response solutions to SDOF dissipation structures with five-parameter Maxwell damper based on the analysis of eigenvalues and eigenvectors in the structural original space was established.

关 键 词： 支撑刚度 五参数 阻尼器 阻尼器受力响应 非平稳响应