Reliability-based multi-objective optimization of laminated plates using GDE3 and isogeometric analysis
Email:
nam.vh@vlu.edu.vn
Từ khóa:
Multi-objective optimization, Laminated composite plate, Isogeometric Analysis FSDT, GDE3 algorithm, Reliability index FORM, Ply thickness.
Tóm tắt
Laminated composite plates are widely used in lightweight structures owing to their high stiffness-to-weight ratio and flexible design capability. However, uncertainties in loads, material properties, and design parameters may significantly affect their mechanical performance and are often not fully addressed in deterministic optimization. This study presents a reliability-based multi-objective optimization framework for the bending design of laminated composite plates under uncertainty. The structural response is evaluated using Isogeometric Analysis combined with the First-order Shear Deformation Theory, allowing geometry and transverse shear deformation to be represented in a unified numerical model. Ply thicknesses are design variables, while maximum transverse deflection and structural mass are minimized as conflicting objectives. The First-order Reliability Method is used to evaluate the reliability index, and the Generalized Differential Evolution 3 algorithm is used to obtain Pareto-optimal solutions. Numerical results show that uncertainties affect the feasible design region and the trade-off between mass, deflection, and reliability. The framework supports reliability-informed design of lightweight composite plate structures.Tài liệu tham khảo
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[2]. N.M. Tho, Reliability-based optimization of pile foundation design using double-loop approach, Master's Thesis, Hutech University of Technology, Ho Chi Minh City, Vietnam, 2015.
[3]. A.K. Singh, A. Bhar, Isogeometric FE analysis of CNT-reinforced composite plates: free vibration, SN Applied Sciences, 1(9) (2019) 1010. https://doi.org/10.1007/s42452-019-1027-x
[4]. P. Yuan, Z. Liu, J. Tan, Shape error analysis of functional surface based on isogeometrical approach, Chinese Journal of Mechanical Engineering, 30 (2017) 544–552. https://doi.org/10.1007/s10033-017-0131-3
[5]. S. Cho, S.H. Ha, Isogeometric shape design optimization: exact geometry and enhanced sensitivity, Structural and Multidisciplinary Optimization, 38 (2009) 53–70. https://doi.org/10.1007/s00158-008-0266-z
[6]. P. Hao, H. Yang, Y. Wang, X. Liu, B. Wang, G. Li, Efficient reliability-based design optimization of composite structures via isogeometric analysis, Reliability Engineering & System Safety, 209 (2021) 107465. https://doi.org/10.1016/j.ress.2021.107465
[7]. S. Kukkonen, J. Lampinen, GDE3: The third evolution step of generalized differential evolution, in: Proceedings of the 2005 IEEE Congress on Evolutionary Computation, Edinburgh, Scotland, 1 (2005) 443–450. https://doi.org/10.1109/CEC.2005.1554717
[8]. D.E. Vargas, A.C. Lemonge, H.J. Barbosa, H.S. Bernardino, Solving multi-objective structural optimization problems using GDE3 and NSGA-II with reference points, Engineering Structures, 239 (2021) 112187. https://doi.org/10.1016/j.engstruct.2021.112187
[9]. S. Ramesh, S. Kannan, S. Baskar, An improved generalized differential evolution algorithm for multi-objective reactive power dispatch, Engineering Optimization, 44 (2012) 391–405. https://doi.org/10.1080/0305215X.2011.576761
[10]. V. Ho-Huu, D. Duong-Gia, T. Vo-Duy, T. Le-Duc, T. Nguyen-Thoi, An efficient combination of multi-objective evolutionary optimization and reliability analysis for reliability-based design optimization of truss structures, Expert Systems with Applications, 102 (2018) 262–272. https://doi.org/10.1016/j.eswa.2018.02.040
[11]. J. N. Reddy, Mechanics of laminated composite plates and shells: theory and analysis, 2nd ed. , CRC Press, Boca Raton, 2003.
[12]. K. Deb, A. Pratap, S. Agarwal, T. Meyarivan, A fast and elitist multiobjective genetic algorithm: NSGA-II, IEEE Transactions on Evolutionary Computation, 6 (2002) 182–197. https://doi.org/10.1109/4235.996017
[13]. C.A. Coello Coello, M.S. Lechuga, MOPSO: A proposal for multiple objective particle swarm optimization, in: Proceedings of the 2002 Congress on Evolutionary Computation (CEC'02), Honolulu, HI, USA, 2 (2002) 1051–1056. https://doi.org/10.1109/CEC.2002.1004388
Tải xuống
Chưa có dữ liệu thống kê
Nhận bài
14/10/2025
Nhận bài sửa
06/05/2026
Chấp nhận đăng
12/05/2026
Xuất bản
15/05/2026
Chuyên mục
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Kiểu trích dẫn
Le Kha, Q., Khuc Thien, T., Nguyen Thoi, T., Nguyen Trang, T., & Vu Ho, N. (1778778000). Reliability-based multi-objective optimization of laminated plates using GDE3 and isogeometric analysis. Tạp Chí Khoa Học Giao Thông Vận Tải, 77(4), 357-370. https://doi.org/10.47869/tcsj.77.4.2
