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本文把图论引入薄壁杆件结构计算,建立了薄壁剖面的图模型,从而简洁准确地给出了薄壁剖面拓扑关系的数学描述.在此基础上,导出了计算扇性坐标、Bredt 剪应力流、二次剪应力流及弯曲剪应力流的矩阵方程式,可方便地使用电子计算机求解,避免了在具体计算过程中因判断剖面拓扑关系而引起的困难.
In this paper, graph theory is introduced into the calculation of the thin-walled bar structure, and a thin-walled profile model is established. Thus, the mathematical description of the thin-walled section topology relationship is presented succinctly and accurately. Based on this, the calculation of fan-shaped coordinates, Bredt, is derived. The matrix equations of the shear stress flow, the secondary shear stress flow and the bending shear stress flow can be easily solved by using the computer, which avoids the difficulties caused by judging the topological relationship of the cross section in the specific calculation process.