Material and geometrically nonlinear spatial beam-column element based on the finite element flexibility method
  Revised:March 28, 2005
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DOI:10.7511/jslx20065098
KeyWord:reinforced concrete,finite element flexibility method,beam-column element,geometrically nonlinear,second-order effect
CHEN Tao  HUANG Zong-ming
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Abstract:
      Based on the basic idea of the finite element flexibility method and total Lagrangian formulation(TL formulation),the general spatial beam-column element with dual nonlinearity of material and geometry is established in this paper.The proposed beam-column element is applicable to the general nonlinear analysis of spatial framed structures that satisfy the basic assumptions of the second-order theory for Euler-Bernoulli beam-columns.Moreover,Fiber-model is introduced into the sectional analysis of the proposed beam-column element so that it can be applied to the nonlinear analysis of composite material structures such as reinforced concrete.Numerical simulations of experiment on reinforced concrete two-way eccentrically loaded columns shows that the proposed formulation is correct and reliable,and can effectively solve the dual nonlinear problem of material and geometry for reinforced concrete frame columns.