多自由度Maxwell阻尼器减震结构(Ⅱ)——等效阻尼  

Equivalent damping of MDOF dissipation structures with Maxwell dampers

作　　者：李创第[1] 李暾[1] 葛新广[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5期617-622,634,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阻尼器减震结构的等效阻尼比进行了系统研究。构建了耗能结构一般微分和积分混合地震响应方程组;基于与多自由度随机平均法分析完全相同的等效准则,建立了耗能结构各振型等效阻尼比的一般解析计算式。与一些典型问题的模态应变能法的计算精度进行对比分析,结果显示:本文方法的计算结果在特定条件下与精确解完全相同;在一个二自由度系统中相对位移响应方差的误差分别为0.99%和0.45%,优于应变能法的8%和5.4%,表明了本文方法的有效性。从而为建立此类耗能结构等效阻尼分析的完备解析解法、直接应用反应谱法进行实际工程设计提供了依据。The complete analytical methods for equivalent damping ratio of arbitrary MDOF dissipation structures with supporting brace and Maxwell dampers are studied systematically.The general dynamic integral-differential earthquake response equations of dissipation structures are firstly established,then by the equivalent criterion of which all random response characteristics are same in the meaning of MDOF stochastic averaging analysis,the general analytical formulas of every modal equivalent damping ratio of dissipation structures are established,which make it possibility of response spectrum technique for dissipation structure.Finally,it is verified that the proposed methods are effective through accuracy in comparison with Modal Strain Energy method for some typical problems,so the complete analytical methods for equivalent damping of foregoing MDOF dissipation structures are established.

关 键 词：MAXWELL阻尼器 多自由度减震结构 随机平均法 振型等效阻尼比 反应谱法 

分 类 号：TU313.3[建筑科学—结构工程]