• ISSN 0258-2724
  • CN 51-1277/U
  • EI Compendex
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Volume 22 Issue 5
Mar.  2010
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Article Contents
ZHOU Lingyuan, LI Tongmei, LI Qiao. Nonlinear Beam Element with Meshed Sections[J]. Journal of Southwest Jiaotong University, 2009, 22(5): 726-731.
Citation: ZHOU Lingyuan, LI Tongmei, LI Qiao. Nonlinear Beam Element with Meshed Sections[J]. Journal of Southwest Jiaotong University, 2009, 22(5): 726-731.

Nonlinear Beam Element with Meshed Sections

  • Received Date: 02 Sep 2008
  • Publish Date: 12 Nov 2009
  • Based on the distributed plasticity approach,a new kind of beam element,3-D materially nonlinear beam element with meshed sections,was presented to analyze the materially nonlinear behaviour of frame structures accurately,and a numerical example for the elasto-plastic analysis of a cantilever beam was given to illustrate the accuracy and efficiency of this approach.With this approach,beam sections are discretized into planar isoparametric elements at the integral points along the longitudinal direction of beam element,the stiffness matrices and resistant forces of sections are calculated by introducing the nonlinear stress-strain relations of materials and respectively integrating the stress-strain relations and stresses of sections,and the element stiffness and nodal resistant forces can also be evaluated with displacement interpolation functions when materials are in a nonlinear state.

     

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  • BATHE K J.Finite element procedure in engineering analysis[M].Englewood Cliffs,New Jersey:Prentice-Hall,Inc.,1982:485-557.[2] CRISFIELD M A.Non-linear finite element analysis of solids and structures:Volume 1[M].New York:John Wiley Sons,1991:152-197.[3] CHAN E C.Nonlinear geometric,material and time dependent analysis of reinforced concrete shells with edge beams[D].Berkeley:Department of Civil Engineering,University of California,1982.[4] MARI A R.Nonlinear geometric,material and time-dependent analysis of three dimensional reinforced concrete frames[D].Berkeley:Department of Civil Engineering,University of California,1984.[5] IZZUDDIN B A,ELNASHAI A S.Adaptive space frame analysis-Part II:A distributed plasticity approach[J].Structures and Buildings Journal,1993,99(3):317-326.[6] SPACONE E,FILIPPOU F C,TAUCER F F.Fiber beam-column model for non-linear analysis of R/C frames (part I):Formulation[J].Earthquake Engineering and Structural Dynamics,1996,25(7):711-725.[7] SPACONE E,FILIPPOU F C,TAUCER F F.Fiber beam-column model for non-linear analysis of R/C frames (part II):Applications[J].Earthquake Engineering and Structural Dynamics,1996,25(7):727-742.[8] 周凌远.斜拉桥非线性理论及极限承载力研究[D].成都:西南交通大学土木工程学院,2007.[9] 朱伯芳.有限单元法原理与应用[M].2版.北京:中国水利水电出版社,1998:112-127.[10] LAM W F,MORLEY C T.Arc-length method for passing limit points in structural calculation[J].Journal of Structural Engineering,1992,118(1):169-185.
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