结构拓扑优化的量子计算智能算法

IF 4.4 2区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Applied Mathematical Modelling Pub Date : 2024-09-13 DOI:10.1016/j.apm.2024.115692
Zhenghuan Wang, Xiaojun Wang
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引用次数: 0

摘要

由组件几何特征驱动的结构拓扑优化方法,如移动变形组件(MMC),因其与设计软件的便捷交互而受到广泛关注。然而,这些方法对部件的初始定位非常敏感,限制了它们在涉及复杂几何边界的应用中的适用性。为了应对这些挑战,本研究引入了一种新颖的双层优化框架,该框架采用了基于量子计算的智能优化算法--量子粒子群优化(QPSO)。通过对 MMC 方法在工程应用中的潜在缺点,特别是其对初始条件的敏感性进行批判性研究,提出了一种用于几何特征驱动拓扑优化的全局-梯度混合框架。与原始的 MMC 框架相比,该方法在优化材料排列方面表现出更强的能力,并提高了工程应用性,使其更适合实际应用。通过三个具有代表性的例子,说明了原始 MMC 方法的局限性,并强调了所提出的双层框架的优势。结果表明,这种方法不仅克服了灵敏度问题,还能稳定地识别出优越的配置,特别是对于具有复杂几何边界的结构,提供的模型便于与 CAD 系统进行交互。这种方法为优化各种工程领域的设计提供了一种稳健而精确的方法。
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Quantum computing intelligence algorithm for structural topology optimization
Structural topology optimization methods that are driven by the geometric features of components, such as the Moving Morphable Component (MMC), are widely explored due to their convenient interaction with design software. However, these methods exhibit significant sensitivity to the initial positioning of components, limiting their suitability for applications involving complex geometric boundaries. This study addresses these challenges by introducing a novel dual-layer optimization framework that employs a quantum computing-based intelligent optimization algorithm, Quantum-behaved Particle Swarm Optimization (QPSO). The potential drawbacks of the MMC method in engineering applications, particularly its sensitivity to initial conditions, are critically examined, leading to the proposal of a global-gradient hybrid framework for geometry feature-driven topology optimization. This proposed method demonstrates superior capability in optimizing material arrangements compared to the original MMC framework and enhances engineering applicability, making it more suitable for real-world applications. Through three representative examples, the limitations of the original MMC method are illustrated, and the advantages of the proposed dual-layer framework are highlighted. The results indicate that this method not only overcomes sensitivity issues but also stably identifies superior configurations, particularly for structures with complex geometric boundaries, providing models that facilitate interaction with CAD systems. This method offers a robust and precise approach for optimizing designs in various engineering fields.
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来源期刊
Applied Mathematical Modelling
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.
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