考虑初曲率影响的变曲率箱梁空间有限元分析-中国公路学报-长安大学.pdf

第20 卷　第6 期 中　国　公　路　学　报 Vol.20　No.6 2007 年11 月 China Journal of Highway and Transport Nov.2007 :1001-7372(2007)06-0073-06 1, 2 1 王银辉 , 陈山林 (1. , 　400045;2. , 　315100) :为计入曲率沿横向和纵向变化对曲线 梁弯扭效应的影响, 提出了考虑初曲率和变曲率影响 的空间分析有限元方法。假设曲率沿径向线性变化, 建立了曲梁内任意点的弯曲挠转角与曲线半 径的反比关系;根据薄壁 梁的弯曲扭转理论, 并将曲率作为轴向坐标z 的函数, 得到了变曲率 梁截面内任意点的应力和位移的关系。基于此, 以形函数为单元内曲率变化的插值函数, 构建了单 元内部曲率变化的曲线 梁等参有限元。按该方法编制了计算机程序, 并用算例验证了该方法对 变曲率曲线 梁计算的有效性。 :桥梁工程;曲线 梁;等参有限元法;初曲率;变曲率 :U443.3　　　:A Spatial Finite Element Analysis for Variable-curvature Box Girder with Initial Curvature 1, 2 1 WANG Yin-hui , CH N Shan-lin (1.School of Civil ngineering, Chongqing University, Chongqing 400045, China;2.Ningbo Institute of Technology, Zhejiang University, Ningbo 315100, Zhejiang, China) Abstract:In order to consider bending and torsion effect of curved box girder varying with transverse axis and longitudinal axis, a spatial finite element method considering initial curvature and variable curvature was presented.Assuming that the curvature varied linearly along transverse axis, it was obtained that the relation between bending deflection angle of arbitrary point within curved box girder and radius of curve was inverse proportion.Based on the bending and torsion theory of thin-walled box girder, stress and displacement relations of arbitrary point of variable-curvature box girder were deducted, which the curvature was regarded as the function of coordinate z .Based on the above two treatments, and regarded shapefunctions as interpolation functions of variable-curvature within element, isoparameter finite eleme