多自由度Maxwell阻尼器减震结构(Ⅰ)——随机响应特性  

Random response characteristics of MDOF dissipation structures with Maxwell dampers

作　　者：李创第[1] 葛新广[1] 李暾[1] 邹万杰[1] 

机构地区：[1]广西工学院土木建筑工程系,柳州545006

出　　处：《应用力学学报》2012年第4期368-373,482,共6页Chinese Journal of Applied Mechanics

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

摘　　要：对多自由度带支撑Maxwell粘滞阻尼器减震结构的随机响应特性进行了系统研究。建立了结构一般运动方程;将运动方程按原结构振型展开,将运动方程化为振型广义坐标的微分和积分混合地震响应方程组;基于多自由度随机平均法理论,获得了结构随机平均It方程组的解析式,推导出耗能结构各振型振子的振幅与相位瞬态联合概率密度函数、位移与速度瞬态联合概率密度函数、位移与速度瞬态响应方差的一般解析解;根据SRSS组合方法,给出了耗能结构随机地震响应方差的一般解析式,从而建立了此类耗能结构随机响应特性分析的完备解析解法。The random earthquake response characteristics of arbitrary MDOF dissipation structures with supporting brace and Maxwell dampers in series are studied systematically.The structural response equations are firstly established,then,by using modal analytical method,the dynamic integral-differential modal earthquake response equations are established,and then,by using MDOF stochastic averaging method,the structural stochastic averaging It equations are established,the analytical formulas of drift vector and diffusion matrix of averaging It equations are given,the analytical solutions of transient joint probability density function for every structural modal amplitude and phase,for every structural modal displacement and velocity are derived,the analytical solutions of transient mean-square values of every structural modal displacement and velocity are established,lastly,by SRSS methods,the analytic formulas for transient mean-square values of displacement and velocity of the foregoing MDOF dissipation structures are given,so the complete analytical methods for random earthquake response characteristics of arbitrary MDOF dissipation structures with supporting brace and Maxwell dampers in series are established.

关 键 词：MAXWELL阻尼器 支撑 多自由度减震结构 随机平均法 随机响应特性 

分 类 号：TU313.3[建筑科学—结构工程]