Nemati Mehrdad, Zandi Yousef, Sabouri Jamshid
Department of Civil Engineering, Tabriz Branch, Islamic Azad University, Tabriz, Iran.
Heliyon. 2024 Oct 16;10(20):e39308. doi: 10.1016/j.heliyon.2024.e39308. eCollection 2024 Oct 30.
Several methods have been used to solve structural optimum design problems since the creation of a need for light weight design of structures and there is still no single method for solving the optimum design problems in structural engineering field that is capable of providing efficient solutions to all of the structural optimum design problems. Therefore, there are several proposed and utilized methods to deal with optimum design issues and problems, that sometimes give promising results and sometimes the solutions are quite unacceptable. This issue with metaheuristic algorithms, which are suitable approaches to solve these set of problems, is quite usual and is supported by the "No Free Lunch theorem". Researchers try harder than the past to propose methods capable of presenting robust and optimal solutions in a wider range of structural optimum design problems, so that to find an algorithm that can cover a wider range of structural optimization problems and obtain a better optimum design. Truss structures are one of these problems which have extremely complex search spaces to conduct search procedures by metaheuristic algorithms. This paper proposes a method for optimum design of truss sizing problems. The presented method is used against 6 well-known benchmark truss structures (10 bar, 17 bar, 18 bar, 25 bar, 72 bar and 120 bar) and its results are compared with some of the available studies in the literature. The performance of the presented algorithm can be considered as very acceptable.
自从出现对结构轻量化设计的需求以来,已经使用了多种方法来解决结构优化设计问题,并且在结构工程领域中仍然没有一种单一的方法能够为所有结构优化设计问题提供高效的解决方案。因此,有几种被提出和使用的方法来处理优化设计问题,这些方法有时能给出有前景的结果,有时其解决方案却相当不可接受。对于元启发式算法(这是解决这类问题的合适方法)而言,这种情况很常见,并且得到了“没有免费午餐定理”的支持。研究人员比以往更加努力地提出能够在更广泛的结构优化设计问题中给出稳健且最优解的方法,以便找到一种能够涵盖更广泛结构优化问题并获得更好优化设计的算法。桁架结构就是这类问题之一,其具有极其复杂的搜索空间,难以通过元启发式算法进行搜索。本文提出了一种桁架尺寸优化设计的方法。所提出的方法应用于6个著名的基准桁架结构(10杆、17杆、18杆、25杆、72杆和120杆),并将其结果与文献中的一些现有研究进行了比较。所提出算法的性能可以被认为是非常令人满意的。