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本文将环向加肋椭圆柱壳的结构最轻设计,归结为一个非线性规化问题。结构分析采用半解析半离散的分析方法。环肋间壳板屈曲的临界压力采用文献[2]中的能量解法。非线性规划算法采用直接处理约束的最速下降法,在约束界面上用Kuhn—Tucker条件判别其是否为局部最佳点。当约束界面上的点不是局部最佳点时,作者建议沿某加权平均梯度方向作一步预定步长的侧移调参,使探求点序列沿着约束界面前进,效果较好。考虑了约束条件包括强度、屈曲和几何尺寸的下限等十个。利用程序TQYH—1算得了一些最轻设计方案,并从中找到肋距、壳厚和肋材尺寸之间的合理配合。
In this paper, the lightest design of the ring-stiffened elliptic cylindrical shell is attributed to a nonlinear regulation problem. Structural analysis uses a semi-analytical semi-discrete analysis method. The critical pressure of the intercostal shell plate buckling uses the energy solution method in [2]. The nonlinear programming algorithm uses the steepest descent method that directly handles the constraints, and uses the Kuhn-Tucker condition to determine whether it is the local optimal point on the constrained interface. When the point on the constrained interface is not a local optimal point, the author proposes to make a side-step adjustment parameter with a predetermined step size along a certain direction of the weighted average gradient, so that the exploration point sequence proceeds along the constraint interface, and the effect is good. Ten constraints, including the lower limit of strength, buckling, and geometry, were considered. Using the program TQYH-1, we calculated some of the lightest design options and found a reasonable fit between the ribs, shell thickness, and rib size.