框架梁柱节点处双力矩与翘曲位移的关系

THE RELATIONSHIP BETWEEN BIMOMENTS AND BEAM-COLUMN JOINT WARPING DISPLACEMENTS

对于薄壁构件框架结构的梁柱节点处翘曲未知量之间的转换,软件ANSYS和ABAQUS采用了错误的做法。该文把节点域梁柱翼缘和加劲肋看成井字梁系,考虑它们在框架平面外的弯曲和扭转,通过翼缘板件内力和位移与杆件截面内力和位移的关系,得到了节点域与杆件的四个连接面上双力矩和翘曲位移的关系。对形框架进行了算例分析,与板壳有限元计算结果进行了对比,验证了得到的翘曲半刚性公式的正确性。通过算例也验证了梁柱节点处柱子翘曲位移与梁翘曲位移近似存在着相等相反的关系。

In frames composed of thin-walled members, the transformation of warping deformations between beams and columns at beam-to-column joints is incorrectly treated by the software ANSYS and ABAQUS. In this paper, the panel zone is seen as a cross-beam system composed of flanges of beams and columns. The out-of-plane bending and twist of the flanges are considered. Using relations between the flange forces/comer point deformations of the panel zone and the member forces/member deformations, explicit formulas are deduced to relate the bimoments to the warping deformations on the 4 interfaces between the panel zone and the beams/columns. Г-shaped frames are presented, FE analysis is carried out using shell63 element. The comparison with FE analysis verified the accuracy of the proposed semi-rigid warping model. From the results of the examples, for the beam-to-column joints stiffened with extended flanges in rectangular frames, the relation between the warping deformations of columns and beams at the joint, θ′b-θ″c, is approximately valid.