Article(id=1259474415822168744, tenantId=1146029695717560320, journalId=1259198796492718097, issueId=1259474414219964747, articleNumber=null, orderNo=null, doi=10.15951/j.tmgcxb.24060515, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=null, receivedDate=1719417600000, receivedDateStr=2024-06-27, revisedDate=null, revisedDateStr=null, acceptedDate=null, acceptedDateStr=null, onlineDate=1778211700635, onlineDateStr=2026-05-08, pubDate=null, pubDateStr=null, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1778211700635, onlineIssueDateStr=2026-05-08, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1778211700635, creator=13701087609, updateTime=1778211700635, updator=13701087609, issue=Issue{id=1259474414219964747, tenantId=1146029695717560320, journalId=1259198796492718097, year='2026', volume='59', issue='1', pageStart='1', pageEnd='128', issueExtLink='null', onlineDate='null', pubDate='null', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=1, specialIssue=null, createTime=1778211700252, creator=13701087609, updateTime=1778211964781, updator=13701087609, preIssue=null, nextIssue=null, ext={EN=IssueExt(id=1259475523919594262, tenantId=1146029695717560320, journalId=1259198796492718097, issueId=1259474414219964747, language=EN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=), CN=IssueExt(id=1259475523919594263, tenantId=1146029695717560320, journalId=1259198796492718097, issueId=1259474414219964747, language=CN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=)}, issueFiles=null}, startPage=61, endPage=75, ext={EN=ArticleExt(id=1259474416468091572, articleId=1259474415822168744, tenantId=1146029695717560320, journalId=1259198796492718097, language=EN, title=Nonlinear finite element analysis of a three-layer composite beam considering double interface slip, columnId=null, journalTitle=China Civil Engineering Journal, columnName=null, runingTitle=null, highlight=null, articleAbstract=Taking three-layer composite beams as the research object, the finite element analysis method considering the geometric nonlinearity of double interface slip is studied. Firstly, the displacement governing differential equation of the three-layer composite beam is established based on the basic equations of elasticity, namely equilibrium, geometry and physics equations. The geometric linear element stiffness matrix with “precise” characteristics in local coordinate system (co-rotation coordinate system) is derived by direct stiffness method. Secondly, the transformation matrix between the structural coordinate system and the local coordinate system is derived by the co-rotation coordinate method of geometric nonlinear analysis, and the geometric nonlinear tangential stiffness matrix of the three-layer composite beam element under the structural coordinate system is established, and the corresponding equivalent node force matrix can be obtained simultaneously. Finally, the rigid arm and force equivalence principle are used to consider the eccentricity effect caused by the inconsistency between the point of concentrated force applied to the three-layer composite beam & the boundary constraint point and the node of the finite element model. Based on the above results, a finite element analysis method for three-layer composite beams considering geometric nonlinearity of double-interface slip is established, and the corresponding program is developed. Three typical examples of three-layer composite beams are analyzed, and the correctness and reliability of the proposed method and the developed program are verified by comparing with the calculation and test results of existing literatures., correspAuthors=null, authorNote=null, correspAuthorsNote=null, copyrightStatement=null, copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=null, magXml=null, pdfUrl=null, pdf=null, pdfFileSize=null, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=null, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=null, mapNumber=null, authorCompany=null, fund=null, authors=null, authorsList=null), CN=ArticleExt(id=1259474416283542192, articleId=1259474415822168744, tenantId=1146029695717560320, journalId=1259198796492718097, language=CN, title=考虑双界面滑移的三层组合梁非线性有限元分析, columnId=1259474416170295982, journalTitle=土木工程学报, columnName=桥梁工程, runingTitle=null, highlight=null, articleAbstract=以三层组合梁为研究对象,开展考虑双界面滑移的几何非线性有限元分析方法的研究。首先,基于三层组合梁的弹性力学基本方程,即平衡、几何以及物理方程,建立其位移控制微分方程,利用直接刚度法推导出局部坐标系(共旋坐标系)下具有“精确”特点的几何线性单元刚度矩阵,其中离散的柔性抗剪连接件用连续界面黏结滑移模型模拟;其次,利用几何非线性分析的共旋坐标法导出结构坐标系与局部坐标系(共旋坐标系)之间的转换矩阵,建立结构坐标系下三层组合梁单元的几何非线性切线刚度矩阵,对应的等效节点力矩阵可同时求得;最后,针对实际工程中施加于三层组合梁的集中力作用点以及边界约束点与有限元模型节点不一致而导致的偏心效应,该文采用刚臂以及力等效的原则予以考虑。综合上述成果建立三层组合梁考虑双界面滑移的几何非线性有限元分析方法,研制出相应程序,对三个典型三层组合梁算例进行分析,与已有文献计算及试验结果的对比验证该文方法及程序的正确性与可靠性。, correspAuthors=null, authorNote=邓继华(1975—),男,博士,教授。主要从事桥梁结构有限元分析方面的研究。
盛希凯(1998—),男,硕士。主要从事桥梁结构有限元分析及程序设计方面的研究。
彭建新(1978—),男,博士,教授。主要从事桥梁结构可靠度方面的研究。
王磊(1979—),男,博士,教授。主要从事桥梁智慧运维及桥梁病害诊治方面的研究。
邵旭东(1961—),男,博士,教授。主要从事大跨与新型桥梁结构方面的研究。, correspAuthorsNote=null, copyrightStatement=null, copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=null, magXml=null, pdfUrl=null, pdf=AGgZ8qG80RTzNCPLnY/C8A==, pdfFileSize=1530274, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=null, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=null, mapNumber=null, authorCompany=1.长沙理工大学,湖南长沙 410114;
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考虑双界面滑移的三层组合梁非线性有限元分析
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邓继华, 盛希凯, 彭建新, 王磊
土木工程学报 | 桥梁工程 2026,59(1): 61-75
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土木工程学报 | 桥梁工程 2026, 59(1): 61-75
考虑双界面滑移的三层组合梁非线性有限元分析
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邓继华, 盛希凯, 彭建新, 王磊
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Nonlinear finite element analysis of a three-layer composite beam considering double interface slip
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doi: 10.15951/j.tmgcxb.24060515
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以三层组合梁为研究对象,开展考虑双界面滑移的几何非线性有限元分析方法的研究。首先,基于三层组合梁的弹性力学基本方程,即平衡、几何以及物理方程,建立其位移控制微分方程,利用直接刚度法推导出局部坐标系(共旋坐标系)下具有“精确”特点的几何线性单元刚度矩阵,其中离散的柔性抗剪连接件用连续界面黏结滑移模型模拟;其次,利用几何非线性分析的共旋坐标法导出结构坐标系与局部坐标系(共旋坐标系)之间的转换矩阵,建立结构坐标系下三层组合梁单元的几何非线性切线刚度矩阵,对应的等效节点力矩阵可同时求得;最后,针对实际工程中施加于三层组合梁的集中力作用点以及边界约束点与有限元模型节点不一致而导致的偏心效应,该文采用刚臂以及力等效的原则予以考虑。综合上述成果建立三层组合梁考虑双界面滑移的几何非线性有限元分析方法,研制出相应程序,对三个典型三层组合梁算例进行分析,与已有文献计算及试验结果的对比验证该文方法及程序的正确性与可靠性。
三层组合梁  /  几何非线性  /  双界面滑移  /  共旋坐标法  /  精确单元刚度矩阵
Taking three-layer composite beams as the research object, the finite element analysis method considering the geometric nonlinearity of double interface slip is studied. Firstly, the displacement governing differential equation of the three-layer composite beam is established based on the basic equations of elasticity, namely equilibrium, geometry and physics equations. The geometric linear element stiffness matrix with “precise” characteristics in local coordinate system (co-rotation coordinate system) is derived by direct stiffness method. Secondly, the transformation matrix between the structural coordinate system and the local coordinate system is derived by the co-rotation coordinate method of geometric nonlinear analysis, and the geometric nonlinear tangential stiffness matrix of the three-layer composite beam element under the structural coordinate system is established, and the corresponding equivalent node force matrix can be obtained simultaneously. Finally, the rigid arm and force equivalence principle are used to consider the eccentricity effect caused by the inconsistency between the point of concentrated force applied to the three-layer composite beam & the boundary constraint point and the node of the finite element model. Based on the above results, a finite element analysis method for three-layer composite beams considering geometric nonlinearity of double-interface slip is established, and the corresponding program is developed. Three typical examples of three-layer composite beams are analyzed, and the correctness and reliability of the proposed method and the developed program are verified by comparing with the calculation and test results of existing literatures.
three-layer composite beam  /  geometric nonlinearity  /  double interface slip  /  co-rotational coordinate method  /  precise element stiffness matrix
邓继华, 盛希凯, 彭建新, 王磊. 考虑双界面滑移的三层组合梁非线性有限元分析. 土木工程学报, 2026 , 59 (1) : 61 -75 . DOI: 10.15951/j.tmgcxb.24060515
. Nonlinear finite element analysis of a three-layer composite beam considering double interface slip[J]. China Civil Engineering Journal, 2026 , 59 (1) : 61 -75 . DOI: 10.15951/j.tmgcxb.24060515
2026年第59卷第1期
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doi: 10.15951/j.tmgcxb.24060515
  • 接收时间:2024-06-27
  • 首发时间:2026-05-08
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2种不同金属材料的力学参数

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种数
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鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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