提高层压板屈曲强度的铺层顺序优化方法讨论
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摘要
复合材料层压板铺层优化设计对于提高飞机结构承载能力至关重要。本文基于遗传算法和随机正态分布优化算法,以轴压复合材料层压板屈曲荷载为目标函数,开展铺层顺序优化设计。采用MATLAB语言编写两种优化算法程序,对不同铺层数和边界条件的对称均衡层压板进行铺层顺序优化。结果表明:采用整数编码、罚函数处理约束条件的遗传算法能够优化层合板铺层顺序问题;当铺层总数为24层时,四边简支和四边固支层合板的最优铺层相比最差铺层的承载力分别提高了27%和15%,优化铺层设计效果明显。随机正态分布优化算法计算结果与遗传算法结果一致,随机正态分布优化算法更简单实用、易收敛,更适用于层压板的铺层顺序优化设计。
The optimal design of composite laminates is crucial for improving the bearing capacity of aircraft structures. In this paper,based on the genetic algorithm and the random normal distribution optimization algorithm,taking the buckling load of the axial compression composite laminates as the objective function,the optimal design of the layer sequence is carried out. Two optimization algorithms are programmed in MATLAB language to optimize the layer sequence of symmetrical balanced laminates with different layers and boundary conditions. The results show that the genetic algorithm with integer coding and penalty function can be used to optimize the sequence of laminated plate. For the 24-layer plates with pinned and fixed constraints,the failure loads of the optimal layers are increased by 27% and 15% than those of the worst layers,which demonstrates the obvious optimal effect. The results from the random normal distribution optimization algorithm are consistent with those from the genetic algorithm. Since the random normal distribution optimization algorithm is concise and easy to converge,it is more suitable for the optimal design of composite laminates in practice.
The optimal design of composite laminates is crucial for improving the bearing capacity of aircraft structures. In this paper,based on the genetic algorithm and the random normal distribution optimization algorithm,taking the buckling load of the axial compression composite laminates as the objective function,the optimal design of the layer sequence is carried out. Two optimization algorithms are programmed in MATLAB language to optimize the layer sequence of symmetrical balanced laminates with different layers and boundary conditions. The results show that the genetic algorithm with integer coding and penalty function can be used to optimize the sequence of laminated plate. For the 24-layer plates with pinned and fixed constraints,the failure loads of the optimal layers are increased by 27% and 15% than those of the worst layers,which demonstrates the obvious optimal effect. The results from the random normal distribution optimization algorithm are consistent with those from the genetic algorithm. Since the random normal distribution optimization algorithm is concise and easy to converge,it is more suitable for the optimal design of composite laminates in practice.
引文
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[2]薛忠民.中国玻璃钢/复合材料发展回顾与展望[J].玻璃钢/复合材料,2015(1):5-12.
[3]邢丽英,包建文,礼嵩明,等.先进树脂基复合材料发展现状和面临的挑战[J].复合材料学报,2016,33(7):1327-1338.
[4]葛平.应用于桥梁的纤维增强聚合物复合材料及其工艺综述[J].玻璃钢/复合材料,2011(5):67-70.
[5]修英姝,崔德刚.复合材料层合板稳定性的铺层优化设计[J].工程力学,2005,22(6):212-216.
[6]冯消冰,黄海,王伟.基于遗传算法的大型风机复合材料叶片根部强度优化设计[J].复合材料学报,2012,29(5):196-202.
[7]Hwang S F,Hsu Y C,Chen Y. A genetic algorithm for the optimization of fiber angles in composite laminates[J]. Journal of Mechanical Science&Technology,2014,28(8):3163-3169.
[8]Chen Y T,Xiang S,Zhao W P. Fiber orientation angle optimization for minimum stress of laminated composite plates[J]. Applied Mechanics&Materials,2015,709:135-138.
[9]陆振玉,张恩阳,刘波.基于改进自适应遗传算法的复合材料铺层优化设计[J].玻璃钢/复合材料,2016(2):53-56.
[10]郑国文,谢习华.基于改进双种群遗传算法的复合材料层合板铺层优化设计[J].玻璃钢/复合材料,2017(6):28-32.
[11]唐文艳,顾元宪,赵国忠.复合材料层合板铺层顺序优化遗传算法[J].大连理工大学学报,2004,44(2):186-189.
[12]吕乐丰,吴文科,吴远飞.基于随机正态分布的机械连接区复合材料凸缘的铺层优化方法[C]//江西省航空学会结构强度专业学术研讨会论文集. 2012.
[13]王共冬,陈彦海,邱福生.基于启发式知识和自适用遗传算法的复合材料铺层优化设计[J].玻璃钢/复合材料,2009(2):3-6.
[14]中国航空研究院.复合材料结构设计手册[M].北京:航空工业出版社,2001:85-86,342-343.
[15]矫桂琼,贾普荣.复合材料力学[M].西安:西北工业大学出版社,2008:41.