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| Mechanics model for geometrical nonlinear problem of large curvature thin-walled curved girder |
| (1.Department of Civil Engineering and Architecture, Foshan Science and Technology University, Foshan, Guangdong 528000， China； 2.School of Civil Engineering, Hunan University, Changsha, Hunan 410082， China) |
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Abstract The shear lag warping displacement function of the cantilever, top and bottom plate of flange section were assumed. The total potential energy function of the structure was obtained by the assumption. Based on potential various principles, the geometrical nonlinear governing equation of the large curvature thinwalled curved girder was deduced with regarding of the influence of curvature radius change along beam width. The approximate solution was obtained by spline least squares collocation method to deduce the internal force and displacement of the structures under loads. Effect of curvature radius on the structure was also analyzed. The comparison of calculating value with test results illuminates that the proposed method is reliable, and especially that the important force locations of curved box girder cross-section are very close. The results show that the influence of curvature radius change along the beam width on shear lag could be ignored when the ratio of width and diameter is less than 0.1. The shear lag coefficient in each section tends to symmetry gradually with the increasing of the curvature radius， while the torsional angle and the deflection decrease with the increase of their linear elastic scopes in the relationship of torsional angle-load and deflection-load.
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2011, Vol. 32 
