Multiobjective enterprise development algorithm for optimizing structural design by weight and displacement

IF 4.4 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Applied Mathematical Modelling Pub Date : 2024-09-10 DOI:10.1016/j.apm.2024.115676

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引用次数: 0

Abstract

This study presents a novel metaheuristic optimization algorithm for complex multiobjective engineering problems. By integrating advanced population and nondominated sorting techniques into the existing single-objective enterprise development algorithm, this new multiobjective approach effectively identifies Pareto-optimal solutions. The algorithm leverages these techniques to explore engineering solutions within multiobjective search spaces. We evaluated its performance using 29 multiobjective mathematical benchmark problems and conducted a comparative analysis against ten established metaheuristic optimization algorithms. The results demonstrate that the algorithm produces highly accurate approximations of Pareto-optimal fronts while maintaining a uniform distribution of solutions. Additionally, the algorithm was applied to real-world engineering challenges, including the optimization of structures such as the 942-bar tower, the 1536-bar double-layer barrel vault, and the 1410-bar double-layer dome truss, with the primary objectives of minimizing both structural weight and maximum nodal deflection. The findings highlight the algorithm's effectiveness in solving practical engineering problems and consistently achieving optimal Pareto fronts.

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通过重量和位移优化结构设计的多目标企业发展算法

本研究针对复杂的多目标工程问题提出了一种新的元启发式优化算法。通过将先进的群体和非支配排序技术整合到现有的单目标企业发展算法中，这一新的多目标方法有效地确定了帕累托最优解。该算法利用这些技术在多目标搜索空间内探索工程解决方案。我们使用 29 个多目标数学基准问题对其性能进行了评估，并与 10 个成熟的元启发式优化算法进行了比较分析。结果表明，该算法能高度精确地逼近帕累托最优前沿，同时保持解决方案的均匀分布。此外，该算法还被应用于现实世界的工程挑战中，包括对 942 杆塔、1536 杆双层筒状拱顶和 1410 杆双层穹顶桁架等结构的优化，其主要目标是最大限度地减少结构重量和最大节点挠度。研究结果凸显了该算法在解决实际工程问题和持续实现帕累托最优前沿方面的有效性。

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来源期刊

Applied Mathematical Modelling 数学-工程：综合

CiteScore

9.80

自引率

8.00%

发文量

508

审稿时长

43 days

期刊介绍： Applied Mathematical Modelling focuses on research related to the mathematical modelling of engineering and environmental processes, manufacturing, and industrial systems. A significant emerging area of research activity involves multiphysics processes, and contributions in this area are particularly encouraged. This influential publication covers a wide spectrum of subjects including heat transfer, fluid mechanics, CFD, and transport phenomena; solid mechanics and mechanics of metals; electromagnets and MHD; reliability modelling and system optimization; finite volume, finite element, and boundary element procedures; modelling of inventory, industrial, manufacturing and logistics systems for viable decision making; civil engineering systems and structures; mineral and energy resources; relevant software engineering issues associated with CAD and CAE; and materials and metallurgical engineering. Applied Mathematical Modelling is primarily interested in papers developing increased insights into real-world problems through novel mathematical modelling, novel applications or a combination of these. Papers employing existing numerical techniques must demonstrate sufficient novelty in the solution of practical problems. Papers on fuzzy logic in decision-making or purely financial mathematics are normally not considered. Research on fractional differential equations, bifurcation, and numerical methods needs to include practical examples. Population dynamics must solve realistic scenarios. Papers in the area of logistics and business modelling should demonstrate meaningful managerial insight. Submissions with no real-world application will not be considered.