Balashov Artem, Burduk Anna, Husár Jozef
Department of Laser Technologies, Automatization and Product Organization, Faculty of Mechanical Engineering, Wroclaw University of Science and Technology, 50-370 Wrocław, Poland.
Department of Industrial Engineering and Informatics, Faculty of Manufacturing Technologies with a Seat in Prešov, Technical University of Košice, Bayerova 1, 080-01 Prešov, Slovakia.
Materials (Basel). 2023 Jan 4;16(2):495. doi: 10.3390/ma16020495.
In engineering practice, a problem is quite often faced in which the number of unknown parameters exceeds the number of conditions or requirements or, otherwise, there are too many requirements for too few parameters to design. Such under- or over-defined tasks are sometimes not possible to solve using a direct approach. The number of solutions to such problems is multiple, and it is most rational to search for the optimal one by numerical methods since the more unknown design parameters there are to be designed, the more potential solutions there are. This article discusses a way to find an optimal solution to such an underdetermined problem by heuristic optimization methods on the basis of the example of designing a composite wing skin of an aircraft. Several heuristic approaches, specifically gradient descent and Tabu search, are studied to solve the design problem and to locate an optimal solution. They are also compared to a conventional direct approach. The examined composite lamina is optimized by the target function of minimum weight with the constraints of strength and buckling failure criteria. In most of the observed cases, the heuristic method designed structures which were considerably better than the structures that were obtained by conventional direct approaches in terms of the weight to load ratio.
在工程实践中,经常会遇到这样一个问题:未知参数的数量超过了条件或要求的数量,或者反之,对于太少的参数有太多的设计要求。这种定义不充分或过度定义的任务有时无法用直接方法解决。这类问题的解的数量是多个,由于要设计的未知设计参数越多,潜在的解就越多,所以用数值方法寻找最优解是最合理的。本文以飞机复合材料机翼蒙皮设计为例,探讨了一种通过启发式优化方法找到此类欠定问题最优解的方法。研究了几种启发式方法,特别是梯度下降法和禁忌搜索法,以解决设计问题并找到最优解。还将它们与传统的直接方法进行了比较。通过最小重量目标函数对所研究的复合材料层板进行优化,并考虑强度和屈曲失效准则的约束。在大多数观察到的案例中,启发式方法设计的结构在重量与载荷比方面明显优于传统直接方法得到的结构。