Global optimization of classified composite laminated structures based on genetic algorithms
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摘要: 针对受力分布差异较大的层合板,提出了一种复合材料铺层分级遗传优化方法.通过将结构铺层分解成全局铺层和各个区域铺层的方式,在分区域设计铺层的同时兼顾区域间的连接与较高的计算效率.针对性设计基因编码和遗传算子,各铺层基因分别进行独立遗传优化.编写了基于经典层合板理论的层合板截面刚度矩阵子程序,结合有限元方法(FEM,Finite Element Method)实现对模型的力学分析计算,获取挠度、重量等作为目标函数参数,根据Tsai-Wu失效准则判断是否破坏作为限制条件.算例证明:铺层分级优化结果合理可信,承力效果较整体铺层优化结果更好.Abstract: A technique of global optimization aimed at composite laminated structures with high variety in distribution of stress was proposed. Under the consideration of connection and the efficiency of computation, the structure laminates were divided into regions with particular global layers and region layers on it. Special gene coding and operator were designed to match the design of division and genes of each region were treated separately in heredity. Combined with the finite element method (FEM), a subprogram written to simulate the stiff matrix of composite laminates based on classical lamination theory was used to analyze the model to get the deflection, weight and so on. as parameters of the object function and took the state whether the structure was failure or not judged by Tsai-Wu failure criterion as its condition. An example provided proves the optimized laminate structure reasonable and believable and having more efficiency in loading than one optimized in whole laminate.
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Key words:
- laminates /
- optimization /
- genetic algorithms /
- classification
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