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分析了对称载荷或非对称载荷作用下轴对称结构的形状优化设计，其目的是使结构边界的切向应力分布均匀，从而使应力集中达最小。结构边界采用两种方法描述，一种由直线段或圆弧组成，设计变量从定义这些直线段或圆弧段的点坐标值和半径值中选择；另一种是由样条函数描述待优化的边界。结构分析由有限元素法完成，采用六节点三角形单元或八节点四边形单元。应用可变子结构或固定子结构的概念，并配备相应的自动网格生成器。提出了关于应力计算和刚度矩阵微分的一些改进措施，同时编制程序并完成了一个计算实例。
The shape optimization design of the axisymmetric structure under symmetrical load or asymmetric load is analyzed. The purpose is to make the tangential stress distribution at the boundary of the structure even, so as to minimize the stress concentration. The structure boundary is described by two methods, one is composed of straight line segments or arcs, the design variables are selected from the point coordinates and radius values that define these straight line segments or arc segments, and the other is described by the spline function to be optimized The border The structural analysis is done by the finite element method using a six-node triangular element or an eight-node quadrilateral element. Apply the concept of a variable substructure or a fixed substructure with a corresponding automatic grid generator. Some improvements on stress calculation and stiffness matrix differentiation are put forward. At the same time, the program is compiled and a calculation example is completed.