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| A nonlinear beam element considering initial imperfection |
| Revised:March 17, 2003 |
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| DOI：10.7511/jslx20051015 |
| KeyWord:beam element,geometric nonlinearity,shear deformation,initial imperfection,bowing effect |
| LI Guo-qiang~* LIU Yu-shu |
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| Abstract: |
| Among all the beam elements currently used, such a beam element that can consider all the four nonlinear factors listed below is insufficient: (1) axial force factor, (2) shear deformation factor, (3) original curve factor, (4) the effect of flexural deformation on axial strain, namely bowing effect. In fact, all the four nonlinear factors may all affect the stability or ultimate load-bearing capacity of steel frames seriously , thus they can not be ignored and should to be considered simultaneously instead. In this paper, the equilibrium differential equation of beam element considering all the four nonlinear factors is derived and the precise beam element stiffness matrix is obtained, through the stiffness matrix we can evaluate the influence of all these four factors on members or the whole structure of steel frames. |
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