针对复合材料层合板铺层优化中的离散组合优化属性，本文提出一种提出基于拓扑优化罚函数思想的阶梯函数插值模型，建立复合材料连续变量与离散变量的映射关系，进而运用连续变量优化算法求解离散组合优化问题。基于线性递减权值策略的粒子群算法，考虑层合板最大基础频率，对层合板铺层角度进行离散组合优化设计，并与应用差分进化算法（DE）、模拟退火算法（SA）所得到的结果进行对比。结果表明，3种优化方法得到的最大基础频率一致，证明了提出方法的有效性。
A stepped function interpolation model by making use of the penalty function idea of topology optimization is developed. Considering the discrete combinatorial optimization properties in the layer optimization of composite laminates. Then, the mapping relationship between composite continuous variables and discrete variables is established. The discrete variables can be applied in the optimized algorithm solution. The particle swarm algorithm based on the linear decreasing weight strategy is generalized. The discrete combination optimization design of the laminate angle is accomplished by taking into account the maximum basic frequency of the laminate. Moreover, different results obtained by the Evolution Algorithm (DE) and the Simulated annealing Algorithm (SA) are compared as well. The results reveal that the maximum fundamental frequencies optimized by the above three methods are identical, which proves the effectiveness of the proposed method.
2022,44(10): 21-25 收稿日期：2021-06-11
DOI：10.3404/j.issn.1672-7649.2022.10.005
分类号：U668.3+3
作者简介：丁文杰(1999-)，男，硕士研究生，研究方向为复合材料不确定性分析和优化设计
参考文献：
[1] NIKBAKT S, KAMARIAN S, SHAKERI M. A review on optimization of composite structures Part I: Laminated composites[J]. Composite Structures, 2018, 195: 158–185
[2] TRAN-NGOC H, KHATIR S, HO-KHAC H, et al. Efficient Artificial neural networks based on a hybrid metaheuristic optimization algorithm for damage detection in laminated composite structures[J]. Composite Structures, 2021, 262: 113339
[3] 白国栋, 童小燕, 姚磊江. 基于深度学习的复合材料铺层优化方法[J]. 复合材料科学与工程, 2020(7): 68
[4] AN H, CHEN S, HUANG H. Multi-objective optimization of a composite stiffened panel for hybrid design of stiffener layout and laminate stacking sequence[J]. Structural and Multidisciplinary Optimization, 2018, 57(4): 1411–1426
[5] AN H, CHEN S, HUANG H. Multi-objective optimal design of hybrid composite laminates for minimum cost and maximum fundamental frequency and frequency gaps[J]. Composite Structures, 2019, 209: 268–276
[6] XU Y , ZHU J , WU Z , et al. A review on the design of laminated composite structures: constant and variable stiffness design and topology optimization[J]. Advanced Composites & Hybrid Materials, 2018.
[7] 孙士平, 张卫红. 基于改进模拟退火算法的复合材料层合板频率优化[J]. 复合材料学报, 2015, 32(3): 902–910
[8] 马森, 赵启林. 基于差分进化算法的复合材料层合板优化设计[J]. 复合材料科学与工程, 2018(10): 70
[9] 王佩艳, 赵晨, 耿小亮, 等. 基于改进自适应遗传算法的层合板铺层顺序优化方法[J]. 科学技术与工程, 2018: 6
[10] 王轩, 许诺, 周春苹, 等. 考虑就位效应的复合材料层合板自适应遗传算法铺层优化[J]. 复合材料科学与工程, 2020, 323(12): 17–22
[11] MORADI S, VOSOUGHI A R, ANJABIN N. Maximum buckling load of stiffened laminated composite panel by an improved hybrid PSO-GA optimization technique[J]. Thin-Walled Structures, 2021, 160: 107382
[12] MELIH S, LEVENT A. Stochastic optimization of graphite-flax/epoxy hybrid laminated composite for maximum fundamental frequency and minimum cost[J]. Engineering Structures, 2018, 174: 675–687
