基于能量平衡原理的有限单元耦合方法
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摘要
结构非线性数值计算分析应真实反映局部损伤破坏细节,以作为损伤演化全过程分析的依据。对同类构件,有限单元耦合方法可以解决破坏细节与整体模拟的空间尺度差异问题。基于能量平衡原理,建立了梁与实体单元、梁与壳单元以及壳与实体单元的耦合方程,适用于结构的损伤数值计算。对某RC框架结构原位推覆试验的损伤数值分析表明,有限单元耦合模型能正确反映整体结构的承载力和变形性能,并且能准确反映局部损伤破坏细节。
In order to analyze the entire damage process of structures,nonlinear numerical calculation and analysis should reflect the damage details of the local regions.For the same member,the different simulation methods come from the different special scales of the damage details and global member could be realized by the finite element coupling equations.Based on the energy-balance theory,the coupling equations for the beam element to solid elements,beam element to shell elements and shell elements to solid elements are established.Those coupling equations are available for the damage numerical calculation.The simulation for one in-situ pushover test of RC frame structure shows that the element coupling model could reflect correctly the structural bearing capacity and deformation behavior and the damage details.
In order to analyze the entire damage process of structures,nonlinear numerical calculation and analysis should reflect the damage details of the local regions.For the same member,the different simulation methods come from the different special scales of the damage details and global member could be realized by the finite element coupling equations.Based on the energy-balance theory,the coupling equations for the beam element to solid elements,beam element to shell elements and shell elements to solid elements are established.Those coupling equations are available for the damage numerical calculation.The simulation for one in-situ pushover test of RC frame structure shows that the element coupling model could reflect correctly the structural bearing capacity and deformation behavior and the damage details.
引文
[1]Halil S,Kenneth J E.Structural Engineering Reconnaissance of the Kocaeli(Izmit)Turkey Earthquake of August 17,1999[R].Berkeley:Pacific Earthquake Research Center,PEER Report 2000-09.
[2]清华大学,西南交通大学,北京交通大学土木工程结构专家组.汶川地震建筑震害分析[J].建筑结构学报,2008,29(4):1-9.(Civil and Structural group of Tsinghua University,Southwest Jiaotong University,Beijing Jiaotong University.Analysis an seismicdamage of buildings in the Wenchuan earthquake[J].Journal of Building Structures,2008,29(4):1-9.(in Chinese))
[3]Okazaki T,Lignos D G,Midorikawa M,et al.Damage to steel buildings observed after the 2011Tohoku-Oki earthquake[J].Earthquake Spectral,2013,29(1):S219-S243.
[4]岳健广.复杂结构地震损伤破坏的多尺度模拟及分析[D].同济大学,2012.(YUE Jian-guang.Multi-Scale Simulation and Analysis for Earthquake Damage Failure of Complex Structure[D].Tongji University,2012.(in Chinese))
[5]Thomas J R H.The Finite Element Method:Linear Static and Dynamic Finite Element Analysis[M].Dover Publications Inc,2003.
[6]Mc Cune R W,Armstrong C G,Robinson D J.Mixeddimensional coupling in finite element models[J].International Journal for Numerical Methods in Engineering,2000,49(6):725-750.
[7]Monaghan D J,Lee K Y,Armstrong C G,et al.Miexed dimensional finite element analysis of frame models[A].10th ISOP Conference[C].Seattle,2000.
[8]Yue J G,Qian J,Lei T,et al.In situ lateral-loading test and micro-macro-scale simulation of an existing RC frame[J].Soil Dynamics and Earthquake Engineering,2013,45:35-44.
[9]Garusi E,Tralli A.A hybrid stress-assumed transition element for solid-to-beam and plate-to-beam connections[J].Computers&Structures,2002,80(2):105-115.
[10]Kim H S,Hong S M.Formulation of transition-elements for the analysis of coupled wall structures[J].Computers&Structures,1995,57(2):333-344.
[11]Jason L,Huerta A,Pijaudier-Cabot G,et al.An elastic plastic damage formulation for concrete:application to elementary tests and comparison with an isotropic damage model[J].Computer Methods in Applied Mechanics and Engineering,2006,195(52):7077-7092.
[12]Li Z X,Zhou T Q,Chan T H T,et al.Multi-scale numerical analysis on dynamic response and local damage in long-span bridges[J].Engineering Structures,2007,29(7):1507-1524.
[13]林旭川,陆新征,叶列平.钢-混凝土混合框架结构多尺度分析及其建模方法[J].计算力学学报,2010,27(3):469-475.(LIN Xu-chuan,LU Xin-zheng,YE Lie-ping.Multi-scale finite element modeling and its application in the analysis of a steel-concrete hybrid frame[J].Chinese Journal of Computational Mechanics,2010,27(3):469-475.(in Chinese))
[14]乔华,陈伟球.基于Arlequin方法的结构多尺度数值模拟[J].浙江大学学报,2010,44(12):2314-2319.(QIAO Hua,CHEN Wei-qiu.Multi-scale numerical simulation of structures based on Arlequin method[J].Journal of Zhenjiang University(Engineering Science),2010,44(12):2314-2319.(in Chinese))
[15]ABAQUS Analysis User’s Manual,2003,ABAQUS,Inc.
[16]岳健广,钱江,伍凯,等.用于砖砌体修正屈服面的塑性损伤模型[J].力学季刊,2012,33(1):146-152.(YUE Jian-guang,QIAN Jiang,WU Kai,et al.A modified plastic damage model for masonry structure[J].Chinese Quarterly of Mechanics,2012,33(1):146-152.(in Chinese))
[17]雷拓,吕西林,钱江,等.既有钢筋混凝土框架原位推覆试验研究[J].建筑结构学报,2009,30(5):23-30.(LEI Tuo,LXi-lin,QIAN Jiang,et al.In-situ pushover test of an existing reinforced concrete frame[J].Journal of Building Structures,2009,30(5):23-30.(in Chinese))
[2]清华大学,西南交通大学,北京交通大学土木工程结构专家组.汶川地震建筑震害分析[J].建筑结构学报,2008,29(4):1-9.(Civil and Structural group of Tsinghua University,Southwest Jiaotong University,Beijing Jiaotong University.Analysis an seismicdamage of buildings in the Wenchuan earthquake[J].Journal of Building Structures,2008,29(4):1-9.(in Chinese))
[3]Okazaki T,Lignos D G,Midorikawa M,et al.Damage to steel buildings observed after the 2011Tohoku-Oki earthquake[J].Earthquake Spectral,2013,29(1):S219-S243.
[4]岳健广.复杂结构地震损伤破坏的多尺度模拟及分析[D].同济大学,2012.(YUE Jian-guang.Multi-Scale Simulation and Analysis for Earthquake Damage Failure of Complex Structure[D].Tongji University,2012.(in Chinese))
[5]Thomas J R H.The Finite Element Method:Linear Static and Dynamic Finite Element Analysis[M].Dover Publications Inc,2003.
[6]Mc Cune R W,Armstrong C G,Robinson D J.Mixeddimensional coupling in finite element models[J].International Journal for Numerical Methods in Engineering,2000,49(6):725-750.
[7]Monaghan D J,Lee K Y,Armstrong C G,et al.Miexed dimensional finite element analysis of frame models[A].10th ISOP Conference[C].Seattle,2000.
[8]Yue J G,Qian J,Lei T,et al.In situ lateral-loading test and micro-macro-scale simulation of an existing RC frame[J].Soil Dynamics and Earthquake Engineering,2013,45:35-44.
[9]Garusi E,Tralli A.A hybrid stress-assumed transition element for solid-to-beam and plate-to-beam connections[J].Computers&Structures,2002,80(2):105-115.
[10]Kim H S,Hong S M.Formulation of transition-elements for the analysis of coupled wall structures[J].Computers&Structures,1995,57(2):333-344.
[11]Jason L,Huerta A,Pijaudier-Cabot G,et al.An elastic plastic damage formulation for concrete:application to elementary tests and comparison with an isotropic damage model[J].Computer Methods in Applied Mechanics and Engineering,2006,195(52):7077-7092.
[12]Li Z X,Zhou T Q,Chan T H T,et al.Multi-scale numerical analysis on dynamic response and local damage in long-span bridges[J].Engineering Structures,2007,29(7):1507-1524.
[13]林旭川,陆新征,叶列平.钢-混凝土混合框架结构多尺度分析及其建模方法[J].计算力学学报,2010,27(3):469-475.(LIN Xu-chuan,LU Xin-zheng,YE Lie-ping.Multi-scale finite element modeling and its application in the analysis of a steel-concrete hybrid frame[J].Chinese Journal of Computational Mechanics,2010,27(3):469-475.(in Chinese))
[14]乔华,陈伟球.基于Arlequin方法的结构多尺度数值模拟[J].浙江大学学报,2010,44(12):2314-2319.(QIAO Hua,CHEN Wei-qiu.Multi-scale numerical simulation of structures based on Arlequin method[J].Journal of Zhenjiang University(Engineering Science),2010,44(12):2314-2319.(in Chinese))
[15]ABAQUS Analysis User’s Manual,2003,ABAQUS,Inc.
[16]岳健广,钱江,伍凯,等.用于砖砌体修正屈服面的塑性损伤模型[J].力学季刊,2012,33(1):146-152.(YUE Jian-guang,QIAN Jiang,WU Kai,et al.A modified plastic damage model for masonry structure[J].Chinese Quarterly of Mechanics,2012,33(1):146-152.(in Chinese))
[17]雷拓,吕西林,钱江,等.既有钢筋混凝土框架原位推覆试验研究[J].建筑结构学报,2009,30(5):23-30.(LEI Tuo,LXi-lin,QIAN Jiang,et al.In-situ pushover test of an existing reinforced concrete frame[J].Journal of Building Structures,2009,30(5):23-30.(in Chinese))
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