为研究带隔板悬臂梁隔板对箱梁受力及变形的影响机理,将带隔板箱梁视为具有内部赘余联系的高次超静定结构,提出基于变形协调原理的畸变柔度法,并结合精细时程积分迭代算法精确求解内部赘余力。基于闭口截面初参数法和叠加原理,得到m个偏心载荷作用下具有n块隔板悬臂梁自由端扭率和转角表达式。以纯扭矩作用下单隔板悬臂梁为例,对比有限元法结果充分验证畸变柔度法精确性;综合研究隔板位置对带隔板悬臂梁自由端转角和翘曲位移的影响。结果表明:当隔板由固定端移动至自由端时,自由端转角先减小后小幅增大,节点翘曲位移大幅减小。
For researching the effects of diaphragm on the loading and deformation of cantilever beam, box girder with diaphragms is regarded as high-order redundant structures with inner redundant connections and distortional flexible method was proposed based on the theory of deformation compatibility. Inner redundant forces were obtained from the iterative algorithm based on precise time-integration method The expressions of torsional ratio and angle at free end were both developed under m eccentric loadings for cantilever beam with n diaphragms. Taking the example of cantilever beam with single diaphragm under torsion, the validity of distortional flexible method was testified by FEM and the effects of the position of diaphragms on torsional angle and warping deformation at free end were also studied The results show: the torsional angle at free end first goes down and then up and warping defarmations shows large decrease when diaphragm moves from fixed end to free one.