功能梯度多级加筋圆柱壳的轻量化设计

Lightweight design of functionally graded hierarchical stiffened cylindrical shells

为了提高圆柱壳的承载能力,提出一种功能梯度多级加筋圆柱壳.通过等效原理推导功能梯度多级加筋圆柱壳的等效刚度,并基于等效刚度模型计算其临界屈曲荷载.建立考虑结构部件尺寸与功能梯度组分材料分布的多级加筋圆柱壳轻量化设计模型.采用粒子群算法对其进行优化设计,并基于有限元特征值屈曲分析对优化结果进行验证.结果表明,优化后功能梯度多级加筋圆柱壳质量明显减少,且其承载性能表现优异.算例验证了功能梯度多级加筋圆柱壳优化设计方案的实用性与安全性.

To improve the bearing capacity of cylindrical shells, a functionally graded(FG) material hierarchical stiffened cylindrical shell is proposed. The smeared stiffener of FG hierarchical stiffened cylindrical shells is derived using the equivalence principle. The critical buckling load is calculated on the basis of the equivalent stiffness model, and a lightweight design model of FG hierarchical stiffened cylindrical shells, considering the structural component dimensions and material distribution of FG components, is established. The particle swarm optimization algorithm is used to analyze the optimization results, which is further verified using the finite element eigenvalue buckling analysis. The results show that the mass of the FG hierarchical stiffened cylindrical shell is substantially reduced after optimization, and its loadbearing performance is highly competitive. Thus, the calculation example proves that the optimized FG hierarchical stiffened cylindrical shell is feasible and safe.