Maxwell阻尼减震结构的最大非平稳响应  

Maximum non-stationary earthquake response of structures with Maxwell viscous dampers

作　　者：葛新广[1] 李创第[1] 邹万杰[1] 

机构地区：[1]广西科技大学(筹)土木建筑工程学院,广西柳州545006

出　　处：《广西工学院学报》2012年第4期1-7,12,共8页Journal of Guangxi University of Technology

基　　金：广西高校百名中青年学科带头人计划项目(RC20060814017);广西自然科学基金项目(0481001);广西科学基金项目(0575021);广西教育厅科研项目(0508052)资助

摘　　要：研究了设置带支撑Maxwell粘滞阻尼器的多层建筑结构的最大非平稳地震响应,建立了结构一般运动方程,根据多层结构的运动性能,将运动方程按结构第一振型展开,将原结构化成振型广义坐标的单自由度微分与积分混合运动方程;并运用随机平均法,获得了结构随机平均ItO赞方程的解析式,以及位移与速度联合概率密度函数、位移方差和速度方差最大值的一般近似解析解;同时基于与随机平均法分析完全相同的等效原则,获得了结构第一振型的等效阻尼比,使耗能结构可直接应用于反应谱法进行工程设计;最后,针对几种典型的非平稳地震激励模型,获得了最大非平稳方差响应的具体解析解.The maximum response of muhilayer building subjected to non-stationary random seismic excitation is with supporting brace and Maxwell dampers in series studied. Firstly, the structural dynamic equations are established. Then, by using structural model analytical method, the structural first-model dynamic intergro- differential equation is got. And then, by using stochastic averaging method, the structural stochastic averaging equations are established, and the analytical solutions of transient joint probability density function for structural displacement and velocity and of maximum mean-square values for structural displacement and velocity are got; And then, by the equivalent criterion of which all random response characteristics are same in the meaning of stochastic averaging analysis, the analytic formulas of structural first-model equivalent damping ratio is achieved, which makes it possible for structure to use response spectrum method technique. Finally, the maximum of nonstationary seismic response of some typical non-stationary earthquake excitation models are given.

关 键 词：MAXWELL阻尼器 随机平均法 等效阻尼 非平稳地震响应 最大值 

分 类 号：TU311.3[建筑科学—结构工程]