基于解析解的复合材料阶梯修复强度优化设计

STRENGTH OPTIMIZATION DESIGN OF COMPOSITE STEPPED-LAP REPAIR BASED ON ANALYTICAL SOLUTION

  • 摘要: 复合材料挖补修复强度优化研究中,广泛使用有限元方法寻优导致优化效率低下,对多参数协同优化也探究不足。为解决上述问题,本文针对复合材料阶梯修复提出了一款多参数联合优化程序(cooperative repair parameter optimization program, CRPOP)。程序将解析与数值方法结合,代替有限元计算,得到胶层应力的半解析理论解,并利用遗传算法对补片铺层与挖补阶梯长度进行多参数优化。结果表明:CRPOP程序可以实现阶梯修复结构的单参与多参优化,分别将胶层最大剪应力降低了28.3%和30.8%,将结构承载力提升了20.4%和25.2%。结果能够有效缓解胶层应力集中现象,并使结构获得更好的修复效果。

     

    Abstract: In the strength optimization of composite scarf repair, the widespread use of finite element (FE) method has led to inefficiencies, and studies on multi-parameter cooperative optimization are also lacking. To overcome these issues, this paper introduces a multi-parameter cooperative optimization program (CRPOP) for composite stepped-lap repair (CSLR). The program replaces FE method with a combination of theoretical and analytical approaches, yielding a semi-analytical solution for adhesive layer stress. Also, it performs cooperative optimization on repair patch layup and step length, utilizing the genetic algorithm. Results indicate that CRPOP can perform both single and multi-parameter optimizations for CSLR structure, reducing maximum adhesive shear stress by 28.3% and 30.8%, and increasing structural load capacity by 20.4% and 25.2%. It demonstrates that the program effectively mitigates stress concentration in the adhesive layer, resulting in improved structural repair performance.

     

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