基于QR法巨型组合框架地震反应分析
|
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.
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.
引文
[1]沈蒲生.巨型框架结构设计与施工[M.]北京:机械工业出版社,2007
[2]李正良.钢筋混凝土巨型结构组合体系的静动力分析[D].重庆:重庆建筑大学,1999
[3]Wong Y L,Yu T,Chan S L.A simplified analyticalmethod for unbraced composite frames with semi-rigidconnections[J].Journal of Constructional Steel Research,2007,63(7):961-969
[4]龚耀清,白俊英.矩阵位移法分析弹性地基上空间巨型框架结构[J.]工程力学,2005,22(增):142-145(GongYaoqing,Bai Junying.Analysis of a maga space frame onelastic subgrade with matrix displacement method[J.]Engineering Mechanics,2005,22(S):142-145(in Chinese))
[5]包世华,龚耀清.超高层建筑空间巨型框架的水平力和重力二阶效应分析新方法[J.]计算力学学报,2010,27(1):40-46(Bao Shihua,Gong Yaoqing.A newmethod for second-order effect analysis on spatial megaframe of super tall buildings due to both horizontal andvertical loadings[J.]Chinese Journal of ComputationalMechanics,2010,27(1):40-46(in Chinese))
[6]龚耀清,包世华.超高层建筑空间巨型框架自由振动计算的新方法[J].工程力学,2008,25(10):133-140(Gong Yaoqing,Bao Shihua.Stability analysis of huge spatialframe structures of super tall buildings[J.]EngineeringMechanics,2008,25(10):133-140(in Chinese))
[7]李君,张耀春.超级元在巨型钢框架结构分析中的应用[J.]哈尔滨建筑大学学报,1999,32(1):38-42(LiJun,Zhang Yaochun.The application of super element inthe analysis of mega-frame steel structures[J.]Journal ofHarbin University of Civil Engineering and Architecture,1999,32(1):38-42(in Chinese))
[8]秦荣.计算结构力学[M.]北京:科学出版社,2001
[9]王蔚然,王继兵,秦荣.QR法在巨型结构动力分析中的应用[J.]四川建筑科学研究,2009,2(5):4-6(Wang Weiran,Wang Jibing,Qin Rong.The applicationof QR method for dynamic analysis of mega structure[J].Sichuan Building Science,2009,2(5):4-6(in Chinese))
[10]李秀梅,秦荣,余兴.高层空间半刚性连接钢框架分析的QR法[J.]空间结构,2009,15(1):65-68(LiXiumei,Qin Rong,Yu Xing.QR method for analysis ofspatial steel frame with semirigid connections[J].SpatialStructures,2009,15(1):65-68(in Chinese))
[11]杜柏松,项海帆,葛耀君,等.剪切效应梁单元刚度矩阵和质量矩阵的推导及应用[J.]重庆交通大学学报:自然科学版,2008,27(4):502-507(Du Baisong,XiangHaifan,Ge Yaojun,et al.Derivation and application of3D-beam’s element stiffness and mass matrix with sheareffect[J.]Journal of Chongqing Jiaotong University:NaturalScience Edition,2008,27(4):502-507(in Chinese))
[2]李正良.钢筋混凝土巨型结构组合体系的静动力分析[D].重庆:重庆建筑大学,1999
[3]Wong Y L,Yu T,Chan S L.A simplified analyticalmethod for unbraced composite frames with semi-rigidconnections[J].Journal of Constructional Steel Research,2007,63(7):961-969
[4]龚耀清,白俊英.矩阵位移法分析弹性地基上空间巨型框架结构[J.]工程力学,2005,22(增):142-145(GongYaoqing,Bai Junying.Analysis of a maga space frame onelastic subgrade with matrix displacement method[J.]Engineering Mechanics,2005,22(S):142-145(in Chinese))
[5]包世华,龚耀清.超高层建筑空间巨型框架的水平力和重力二阶效应分析新方法[J.]计算力学学报,2010,27(1):40-46(Bao Shihua,Gong Yaoqing.A newmethod for second-order effect analysis on spatial megaframe of super tall buildings due to both horizontal andvertical loadings[J.]Chinese Journal of ComputationalMechanics,2010,27(1):40-46(in Chinese))
[6]龚耀清,包世华.超高层建筑空间巨型框架自由振动计算的新方法[J].工程力学,2008,25(10):133-140(Gong Yaoqing,Bao Shihua.Stability analysis of huge spatialframe structures of super tall buildings[J.]EngineeringMechanics,2008,25(10):133-140(in Chinese))
[7]李君,张耀春.超级元在巨型钢框架结构分析中的应用[J.]哈尔滨建筑大学学报,1999,32(1):38-42(LiJun,Zhang Yaochun.The application of super element inthe analysis of mega-frame steel structures[J.]Journal ofHarbin University of Civil Engineering and Architecture,1999,32(1):38-42(in Chinese))
[8]秦荣.计算结构力学[M.]北京:科学出版社,2001
[9]王蔚然,王继兵,秦荣.QR法在巨型结构动力分析中的应用[J.]四川建筑科学研究,2009,2(5):4-6(Wang Weiran,Wang Jibing,Qin Rong.The applicationof QR method for dynamic analysis of mega structure[J].Sichuan Building Science,2009,2(5):4-6(in Chinese))
[10]李秀梅,秦荣,余兴.高层空间半刚性连接钢框架分析的QR法[J.]空间结构,2009,15(1):65-68(LiXiumei,Qin Rong,Yu Xing.QR method for analysis ofspatial steel frame with semirigid connections[J].SpatialStructures,2009,15(1):65-68(in Chinese))
[11]杜柏松,项海帆,葛耀君,等.剪切效应梁单元刚度矩阵和质量矩阵的推导及应用[J.]重庆交通大学学报:自然科学版,2008,27(4):502-507(Du Baisong,XiangHaifan,Ge Yaojun,et al.Derivation and application of3D-beam’s element stiffness and mass matrix with sheareffect[J.]Journal of Chongqing Jiaotong University:NaturalScience Edition,2008,27(4):502-507(in Chinese))
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心