基于QR法巨型组合框架地震反应分析  

The seismic response analysis of mega composite frames based on QR method

作　　者：潘文军[1,2] 叶献国[1] 常磊 

机构地区：[1]合肥工业大学,安徽合肥230009 [2]广西工学院,广西柳州545006

出　　处：《土木工程学报》2010年第S1期98-101,共4页China Civil Engineering Journal

基　　金：国家自然科学基金(90715016);安徽省自然科学基金(070415220)

摘　　要：巨型组合框架地震反应的简化算法是当前土木工程界研究热点之一。本文采用结构分析QR方法研究此类结构的地震反应。首先构造以样条结点广义位移参数表示的结构整体位移函数,再根据瞬时势能原理和变分原理推导巨型组合框架地震反应的样条离散化动力方程,则原结构的动反应可由样条结点的广义动反应确定。编制巨型组合框架地震反应QR法的流程图,利用相应的计算程序计算一个巨型组合框架结构分别输入两条地震波时的地震反应,将计算结果与有限元软件计算结果作对比。分析结果表明,该方法是一种经济可靠的结构计算方法,可用来计算和分析巨型组合框架结构的地震反应,为这种巨型结构形式的简化计算提供新的思路,具有较好的推广应用价值。The simplified algorithm for seismic response of mega composite frame is one of hot research subjects in the civil engineering at present.The paper carried out study on seismic response of these structures by QR method for structure analysis.Firstly,the structure displacement function expressed by the generalized displacement parameters of spline knots was created.Then,the spline-partitoned dynamic equation of mega composite frame under earthquake role was deduced according to the principle of instantaneous potential energy functionell and variational principle.Thereafter,dynamic responses of original structure can be determined by the generalized dynamic responses of spline knots.Flow chart of seismic response of mega composite frame based on QR method was made.The seismic response of one mega composite frame under input of two earthquake waves was computed by the corresponding computational procedure respectively,and the calculation results were compared with those from the Finite Element software.Results show that QR method is an economical and reliable method for structural calculation that can be used to compute and analyze earthquake response of mega composite frame structures.It provides a new idea for the simplified calculation to the type of mega structures,and has widely application value as well.

关 键 词：QR法 巨型组合框架 地震反应 样条离散 有限元法 

分 类 号：TU399[建筑科学—结构工程] TU311.3