薄壁箱梁广义坐标法刚度矩阵的推导及应用

在符拉索夫广义坐标法初参数方程的基础上,推导出可用于均布扭转荷载作用下薄壁箱梁翘曲分析的刚度矩阵,该刚度矩阵具有较高的单元精度,可用于由较多薄壁箱梁组成的复杂结构的整体有限元分析。通过对广义坐标法刚度矩阵和乌曼斯基理论、修正乌曼斯基理论求得薄壁箱梁的位移和应力进行分析比较,为各方法在实际工程中的应用提供一定的参考。

Derivation and application of generalized coordinate method stiffness matrix of thin-wall box beam

Stiffness matrix which can be applied in elastic finite element analysis of thin-wall box beam under uniform torsional load is derived according to the initial parameter equation of Fulasolv Generalized Coordinate Method(GCM).The stiffness matrix can achieve high element accuracy,not only being able to be adopted to resolve the problems of box beam with diaphragm under torsional load,but also to be applied in the finite element analysis of complex structure combined with multiple thin-wall box beams.By comparing the deflection and stress results of the thin-wall box beams by means of different theory,some conclusions can be drawn as below:(1)The warp stress results vary remarkably by using the Generalized Coordinate Method(GCM),Wumansji theorem and modified Wumansji theorem.(2)Wumansji theorem can not replace the Generalized Coordinate Method(GCM) to resolve the specific problems in which there are no sufficient diaphragms within the thin-wall box beam.(3)The Generalized Coordinate Method(GCM) has the widest application.