Meta-heuristic optimization algorithms for vibration and buckling analysis of laminated composite plates

IF 4.2 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Engineering Analysis with Boundary Elements Pub Date : 2024-09-24 DOI:10.1016/j.enganabound.2024.105974

Van-Thien Tran , Trung-Kien Nguyen , H. Nguyen-Xuan , Thuc P. Vo

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Abstract

The authors propose meta-heuristic optimization algorithms for the vibration and buckling analysis of laminated composite plates. This approach combines unified higher-order shear deformation theory, the Ritz method, and three optimization algorithms: the Shrimp and Goby Association Search Algorithm (SGA), Balancing Composite Motion Optimization (BCMO), and Differential Evolution (DE). The Ritz method, utilizing hybrid shape functions, is employed to solve optimization problems by using the Gram-Schmidt process to construct approximation functions. The SGA and BCMO are applied for the first time to determine the optimal buckling loads and frequencies of laminated composite plates. Numerical examples are provided to explore the influence of fiber angle, modulus ratio, and various boundary conditions on the optimal results. The findings demonstrate that BCMO and SGA are efficient and robust algorithms for addressing the optimization problems of laminated composite plates.

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用于层压复合板振动和屈曲分析的元启发式优化算法

作者针对层状复合板的振动和屈曲分析提出了元启发式优化算法。该方法结合了统一的高阶剪切变形理论、Ritz 方法和三种优化算法：虾和鰕虎鱼关联搜索算法 (SGA)、平衡复合运动优化 (BCMO) 和差分进化 (DE)。Ritz 方法利用混合形状函数，通过格拉姆-施密特过程构建近似函数来解决优化问题。SGA 和 BCMO 首次用于确定层压复合板的最佳屈曲载荷和频率。研究提供了数值示例，以探讨纤维角度、模量比和各种边界条件对最佳结果的影响。研究结果表明，BCMO 和 SGA 是解决层压复合材料板优化问题的高效且稳健的算法。

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来源期刊

Engineering Analysis with Boundary Elements 工程技术-工程：综合

CiteScore

5.50

自引率

18.20%

发文量

368

审稿时长

56 days

期刊介绍： This journal is specifically dedicated to the dissemination of the latest developments of new engineering analysis techniques using boundary elements and other mesh reduction methods. Boundary element (BEM) and mesh reduction methods (MRM) are very active areas of research with the techniques being applied to solve increasingly complex problems. The journal stresses the importance of these applications as well as their computational aspects, reliability and robustness. The main criteria for publication will be the originality of the work being reported, its potential usefulness and applications of the methods to new fields. In addition to regular issues, the journal publishes a series of special issues dealing with specific areas of current research. The journal has, for many years, provided a channel of communication between academics and industrial researchers working in mesh reduction methods Fields Covered: • Boundary Element Methods (BEM) • Mesh Reduction Methods (MRM) • Meshless Methods • Integral Equations • Applications of BEM/MRM in Engineering • Numerical Methods related to BEM/MRM • Computational Techniques • Combination of Different Methods • Advanced Formulations.