木结构半刚性结点的数值模拟
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摘要
榫、卯单元的部位既不是刚结点,也不是铰结点,而是具有半刚性节点性质的单元.为了准确地逼近这种半刚性的榫卯连接刚度,本文总结了木结构半刚性单元研究进展,建立了便于分析计算的榫、卯有限元模型,利用MSC有限元分析软件得到数值计算结果与十字形试验结果模型相比对,采用响应面方法和优化迭代方法得到榫、卯半刚性单元的参数值.该分析方法和结果可应用于大型木结构整体分析中.
Because the connection between mortise and tenon is semi-rigid deform ation behavior,rather than full rigid or ideally pinned connection,it is a key to accurately approach property of semi-rigid stiffness of mortise and tenon d uring the numerical simulation.This study summarizes the research of the develo pment of semi-rigid element,and establishes easy computing and analytic finite element model of mortise and tenon.In addition,parameters of the model have b een obtained by comparing numerical result using MSC FEM software and the conseq uence of crossing timber frame experiment through response surface method and op timize interactive theory.The analysis and the result mentioned above could be applied on the study of other entire large-scale ancient wooden architecture.
Because the connection between mortise and tenon is semi-rigid deform ation behavior,rather than full rigid or ideally pinned connection,it is a key to accurately approach property of semi-rigid stiffness of mortise and tenon d uring the numerical simulation.This study summarizes the research of the develo pment of semi-rigid element,and establishes easy computing and analytic finite element model of mortise and tenon.In addition,parameters of the model have b een obtained by comparing numerical result using MSC FEM software and the conseq uence of crossing timber frame experiment through response surface method and op timize interactive theory.The analysis and the result mentioned above could be applied on the study of other entire large-scale ancient wooden architecture.
引文
[1]GUAN Z W,RODD P D.Hollow steel dowels-a new application in semi-rigid timber connections[J].Engineer Structures,2001,23(1):110-119.
[2]姚侃,赵鸿铁,葛鸿鹏.古建木结构榫卯连接特性的试验研究[J].工程力学,2006,23(10):168-173.YAO Kan,ZHAO Hong-tie,GE Hong-peng.Experimental studies on the characteristic of mortise-tenon joint in historic timberbuildings[J].Engineering Mechanics,2006,23(10):168-173.(in Chinese)
[3]CHUI Y H,NI C.Load-embedment response of timber to reversed cyclic load[J].Wood Fiber Science,1997,29(2):148-160.
[4]CHUI Y H,LI Y T.Modeling timber moment connection under reversed cyclic loading[J].Journal of structural engineering,2005,131(11):1757-1763.
[5]KERMANI A.A study of semi-rigid and nonlinear behavior of nailed joints in timber portal frames[J].Forest Engineering,1996,7(2):17-34.
[6]FRYE M J,MORRIS C A.Analysis of flexibly connected steel frames[J].Can.J.Civ.Eng,1975,2(3):280-291.
[7]CHEN W F,KISHI N.Semi-rigid steel beam-to-column connections:data base and modeling[J].Journal of StructuralEngineering,1989,115(1):105-119.
[8]KINGW S,CHEN W F.LRFD analysis for semi-rigid frame design[J].Engineering Journal,1993,30(4):130-140.
[9]KISHI N,CHEN W F,GOTO Y,et al.Analysis program for the design of flexibly jointed framed[J].Computers andStructures,1994,49(4):705-713.
[10]GOTO Y,SUZUKI S,CHEN W F.Analysis of critical behavior of semi-rigid frames with or without load history inconnections[J].Int.J.Solids Structure,1991,27(4):467-483.
[11]GOTO Y,SUZUKI S,CHEN W F.Stability behavior of semi-rigid sway frames[J].Engineering Structure,1993,15(3):209-219.
[12]KAMESHKI E S,SAKA M P.Optimum design of nonlinear steel frames with semi-rigid connections using a genetic algorithm[J].Computers Structures,2001,79(17):1593-1604.
[13]王俊鑫.榫卯连接木结构的静力与动力分析研究[D].昆明:昆明理工大学建筑工程学院,2008.WANG Jun-xin.Static and dynamic analysis of mortise-tenon conncetion timber structure[D].Kunming University of Scienceand Technology:Master Thesis of the College of Architecture Engineering,Kunming University of Science and Technology,2008.(in Chinese)
[14]方东平,俞茂宏,宫本裕,等.木结构古建筑结构特性的计算研究[J].工程力学,2001,18(1):137-144.FANG Dong-ping,YU Mao-hong,MIYAMOTO Y,et al.Calculation studies on structural characteristics of ancient timberarchitectures[J].Engineering Mechanics,2001,18(1):137-144.(in Chinese)
[15]赵均海,俞茂宏,杨松岩,等.中国古代木结构有限元动力分析[J].土木工程学报,2000,33(1):32-35.ZHAO Jun-hai,YU Mao-hong,YANG Song-yan,et al.Dynamic analysis for the ancient superstructure of the east city gateof Xi'an by FEM[J].China Civil Engineering Journal,2000,33(1):32-35.(in Chinese)
[16]丁磊,王志骞,俞茂宏.西安鼓楼木结构的动力特性及地震反应分析[J].西安交通大学学报,2003,37(9):986-988.DING Lei,WANG Zhi-qian,YU Mao-hong.Dynamic characteristics and earthquake responses of Xi’an drum-tower[J].Journal of Xi'an Jiaotong University,2003,37(9):986-988.(in Chinese)
[17]薛建阳,赵鸿铁,张鹏程.中国古建筑木结构模型的振动台试验研究[J].土木工程学报,2004,37(6):6-11.XUE Jian-yang,ZHAO Hong-tie,ZHANG Peng-cheng.Study on the seismic behaviors of Chinese ancient wooden buildingby shaking tables test[J].China Civil Engineering Journal,2004,37(6):6-11.(in Chinese)
[18]翟慧娟.西安东门城楼城墙弹塑性[D].西安:长安大学建筑工程学院,2005:19-22.QU Hui-juan.Research on elastoplastic finite element on the timber and rampart of Xi'an east city gate[D].Xi'an:MasterThesis of the College of Architecture Engineering,Chang’an University,2005:19-22.(in Chinese)
[19]杨庆生.有限元法—理论、实现和发展[M].北京:北京工业大学出版社,2000:89-92.
[2]姚侃,赵鸿铁,葛鸿鹏.古建木结构榫卯连接特性的试验研究[J].工程力学,2006,23(10):168-173.YAO Kan,ZHAO Hong-tie,GE Hong-peng.Experimental studies on the characteristic of mortise-tenon joint in historic timberbuildings[J].Engineering Mechanics,2006,23(10):168-173.(in Chinese)
[3]CHUI Y H,NI C.Load-embedment response of timber to reversed cyclic load[J].Wood Fiber Science,1997,29(2):148-160.
[4]CHUI Y H,LI Y T.Modeling timber moment connection under reversed cyclic loading[J].Journal of structural engineering,2005,131(11):1757-1763.
[5]KERMANI A.A study of semi-rigid and nonlinear behavior of nailed joints in timber portal frames[J].Forest Engineering,1996,7(2):17-34.
[6]FRYE M J,MORRIS C A.Analysis of flexibly connected steel frames[J].Can.J.Civ.Eng,1975,2(3):280-291.
[7]CHEN W F,KISHI N.Semi-rigid steel beam-to-column connections:data base and modeling[J].Journal of StructuralEngineering,1989,115(1):105-119.
[8]KINGW S,CHEN W F.LRFD analysis for semi-rigid frame design[J].Engineering Journal,1993,30(4):130-140.
[9]KISHI N,CHEN W F,GOTO Y,et al.Analysis program for the design of flexibly jointed framed[J].Computers andStructures,1994,49(4):705-713.
[10]GOTO Y,SUZUKI S,CHEN W F.Analysis of critical behavior of semi-rigid frames with or without load history inconnections[J].Int.J.Solids Structure,1991,27(4):467-483.
[11]GOTO Y,SUZUKI S,CHEN W F.Stability behavior of semi-rigid sway frames[J].Engineering Structure,1993,15(3):209-219.
[12]KAMESHKI E S,SAKA M P.Optimum design of nonlinear steel frames with semi-rigid connections using a genetic algorithm[J].Computers Structures,2001,79(17):1593-1604.
[13]王俊鑫.榫卯连接木结构的静力与动力分析研究[D].昆明:昆明理工大学建筑工程学院,2008.WANG Jun-xin.Static and dynamic analysis of mortise-tenon conncetion timber structure[D].Kunming University of Scienceand Technology:Master Thesis of the College of Architecture Engineering,Kunming University of Science and Technology,2008.(in Chinese)
[14]方东平,俞茂宏,宫本裕,等.木结构古建筑结构特性的计算研究[J].工程力学,2001,18(1):137-144.FANG Dong-ping,YU Mao-hong,MIYAMOTO Y,et al.Calculation studies on structural characteristics of ancient timberarchitectures[J].Engineering Mechanics,2001,18(1):137-144.(in Chinese)
[15]赵均海,俞茂宏,杨松岩,等.中国古代木结构有限元动力分析[J].土木工程学报,2000,33(1):32-35.ZHAO Jun-hai,YU Mao-hong,YANG Song-yan,et al.Dynamic analysis for the ancient superstructure of the east city gateof Xi'an by FEM[J].China Civil Engineering Journal,2000,33(1):32-35.(in Chinese)
[16]丁磊,王志骞,俞茂宏.西安鼓楼木结构的动力特性及地震反应分析[J].西安交通大学学报,2003,37(9):986-988.DING Lei,WANG Zhi-qian,YU Mao-hong.Dynamic characteristics and earthquake responses of Xi’an drum-tower[J].Journal of Xi'an Jiaotong University,2003,37(9):986-988.(in Chinese)
[17]薛建阳,赵鸿铁,张鹏程.中国古建筑木结构模型的振动台试验研究[J].土木工程学报,2004,37(6):6-11.XUE Jian-yang,ZHAO Hong-tie,ZHANG Peng-cheng.Study on the seismic behaviors of Chinese ancient wooden buildingby shaking tables test[J].China Civil Engineering Journal,2004,37(6):6-11.(in Chinese)
[18]翟慧娟.西安东门城楼城墙弹塑性[D].西安:长安大学建筑工程学院,2005:19-22.QU Hui-juan.Research on elastoplastic finite element on the timber and rampart of Xi'an east city gate[D].Xi'an:MasterThesis of the College of Architecture Engineering,Chang’an University,2005:19-22.(in Chinese)
[19]杨庆生.有限元法—理论、实现和发展[M].北京:北京工业大学出版社,2000:89-92.
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