A novel hybrid machine learning and optimization approach for stochastic free vibration analysis of graphene platelets reinforced functionally graded triply periodic minimal surface microplates

IF 4.2 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements Pub Date : 2025-05-17 DOI:10.1016/j.enganabound.2025.106304

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

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引用次数: 0

Abstract

This paper proposes a new hybrid deep neural network and optimization approach for stochastic vibration analysis of graphene platelets reinforced functionally graded triply periodic minimal surface (GPLR-FG-TPMS) microplates with material properties uncertainties. A combination of the bidirectional long short-term memory model (BiLSTM), the Shrimp and Goby Association Search Algorithm (SGA) and Chebyshev polynomials of the second kind utilized in the Ritz method to improve the accuracy of the numerical solutions is developed. The deterministic fundamental frequencies of GPLR-FG-TPMS microplates are first analyzed using a combination of third-order shear deformation theory, modified couple stress theory and Ritz-type series solutions. Subsequently, their stochastic responses under material properties uncertainties are obtained using the SGA-BiLSTM model. Numerical examples are obtained to investigate the effects of the porosity coefficients, graphene platelets weight fractions, thickness-to-length ratios, length-to-material ratios, and different boundary conditions on the natural frequencies of GPLR-FG-TPMS microplates. The novel findings of this paper provide valuable insights and serve as a reference for future research.

查看原文本刊更多论文

一种新的混合机器学习和优化方法用于石墨烯片增强功能梯度三周期最小表面微板的随机自由振动分析

提出了一种新的混合深度神经网络和优化方法，用于材料性能不确定的石墨烯片增强功能梯度三周期最小表面微板的随机振动分析。提出了将双向长短期记忆模型（BiLSTM）、对虾虾鱼联合搜索算法（SGA）和Ritz方法中使用的第二类Chebyshev多项式相结合的方法来提高数值解的精度。首先结合三阶剪切变形理论、修正耦合应力理论和ritz型级数解，分析了GPLR-FG-TPMS微板的确定性基频。随后，利用SGA-BiLSTM模型得到了它们在材料性能不确定条件下的随机响应。通过数值算例研究了孔隙率系数、石墨烯薄片重量分数、厚度与长度比、长度与材料比以及不同边界条件对GPLR-FG-TPMS微孔板固有频率的影响。本文的新发现为今后的研究提供了有价值的参考。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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.