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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。
In order to study the influence mechanism of diaphragm with cantilever beam on the stress and deformation of box girder, the diaphragm box girder is regarded as high-order statically indeterminate structure with extraneous linkages. The distortion compliance method based on deformation coordination principle is proposed, Combined with the precise time-integration iterative algorithm, the internal redundancy is accurately solved. Based on the initial parameter method and superposition principle of the closed cross-section, the free end torsion and rotation angle expressions of n-bar diaphragms with m eccentric loads are obtained. Taking the single diaphragm cantilever beam under the action of pure torque as an example, the accuracy of the distortion compliance method is fully verified by contrasting the results of the finite element method. The influence of the diaphragm position on the free end corner and warpage displacement of the diaphragm with cantilever beam is studied comprehensively. The results show that when the diaphragm moves from the fixed end to the free end, the free end angle first decreases and then increases slightly, and the warpage displacement of the node decreases significantly.