有限元混合法自动网格划分技术分析贴边岔管
Automatically Meshing Technique Used in the Mixed FEM for Stress Analysis of Reinforced Conical Branch Pipe Junctions
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摘要: 本文应用有限元混合法分析水电站贴边岔管于内水压力作用时的应力问题.岔管系当作为二个薄壳相交的组合壳体.由于需要计算大量的岔管,发展了自动网格划分技术用于有限元混合法.根据三个参数即二个交叉管道的轴线交角、管壁厚度及交叉口二管道直径之比,区分出八种网格,十二种单元信息,编出自动确定节点坐标及形成边界条件信息的程序,业已计算了101个岔管,计算效果优良.Abstract: In this paper the use of the mixed finite element method for stress analysis of reinforced conical branch pipe junctions subjected to internal water pressure is presented, branch pipe junction being considered as an intersection body of two thin conical shells. For the purpose of computing a large number of branch pipe junctions with different geometrical varieties, an automatical meshing routine has been put up in the mixed FEM program with 3 geometrical parameters of the junctions to be varied, i.e., the angle included between axes of the main pipe and the branch pipe,the thickness of the wall of the shell and that of the reinforcing pad and the ratio of diameters of the branch pipe to that of the main pipe. The computer program has been provided functions to distinguish 8 kinds of different meshes and 12 sorts of elements, and to lay automatically coordinates of nodes as well as different boundary conditions of elements. In this way, stress analyses of 101 junctions have been carried out and results of computations are excellent.
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[1] Herrmann,L.R.,Pinite Analqsis of Plates.J.of the Engg.Mech.Div.Proc.of ASCE.Oct.(1967). [2] Herrmann,L.R.,A Finite Element Analysis for Thin Shells,AIAA,J.Vol.6,No,19,(1968). [3] 徐次达,华伯浩等,混合法分析弹性薄壳及弹性地基壳的强度,同济大学学报,1, (1978).52-64. [4] 徐次达,华伯浩,薄壳有限元混合法与求解程序,上海计算技术通讯,3.(1978).65-86.
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