International Science Index


10011872

Application of GA Optimization in Analysis of Variable Stiffness Composites

Abstract:Variable angle tow describes the fibres which are curvilinearly steered in a composite lamina. Significantly, stiffness tailoring freedom of VAT composite laminate can be enlarged and enabled. Composite structures with curvilinear fibres have been shown to improve the buckling load carrying capability in contrast with the straight laminate composites. However, the optimal design and analysis of VAT are faced with high computational efforts due to the increasing number of variables. In this article, an efficient optimum solution has been used in combination with 1D Carrera’s Unified Formulation (CUF) to investigate the optimum fibre orientation angles for buckling analysis. The particular emphasis is on the LE-based CUF models, which provide a Lagrange Expansions to address a layerwise description of the problem unknowns. The first critical buckling load has been considered under simply supported boundary conditions. Special attention is lead to the sensitivity of buckling load corresponding to the fibre orientation angle in comparison with the results which obtain through the Genetic Algorithm (GA) optimization frame and then Artificial Neural Network (ANN) is applied to investigate the accuracy of the optimized model. As a result, numerical CUF approach with an optimal solution demonstrates the robustness and computational efficiency of proposed optimum methodology.
References:
[1] R. Olmedo and Z. G¨urdal. Buckling response of lamiates with spatially varying fiber orientations. Structural Dynamics and Materials Conference, Structures, 1993.
[2] Z. Gurdal, B.F. Tatting, and C.K. Wu. Variable stiffness composite panels: Effects of stiffness variation on the in-plane and buckling response. Composites Part A: Applied Science and Manufacturing, 39(5):911 – 922, 2008.
[3] Zhangming Wu, Paul M. Weaver, Gangadharan Raju, and Byung Chul Kim. Buckling analysis and optimisation of variable angle tow composite plates. Thin-Walled Structures, 60:163 – 172, 2012.
[4] A.W. Leissa and A.F. Martin. Vibration and buckling of rectangular composite plates with variable fiber spacing. Composite Structure, 14(4):339–357, 1990.
[5] B Tatting and Z G¨urdal. Analysis and design of tow-steered variable stiffness composite laminates. In American Helicopter Society Hampton Roads Chapter, Structure Specialists Meeting, Williamsburg, VA, 2001.
[6] Paul M Weaver, Zhang Ming Wu, and Gangadharan Raju. Optimisation of variable stiffness plates. In Applied Mechanics and Materials, volume 828, pages 27–48. Trans Tech Publ, 2016.
[7] Mark W. Bloomfield, J. Enrique Herencia, and Paul M. Weaver. Enhanced two-level optimization of anisotropic laminated composite plates with strength and buckling constraints. Thin-Walled Structures, 47(11):1161 – 1167, 2009.
[8] Zhangming Wu, Gangadharan Raju, and Paul M Weaver. Optimization of postbuckling behaviour of variable thickness composite panels with variable angle tows: Towards buckle-free design concept. International Journal of Solids and Structures, 132:66–79, 2018.
[9] Hossein Ghiasi, Kazem Fayazbakhsh, Damiano Pasini, and Larry Lessard. Optimum stacking sequence design of composite materials part ii: Variable stiffness design. Composite Structures, 93(1):1 – 13, 2010.
[10] E Carrera. Layer-wise mixed models for accurate vibrations analysis of multilayered plates. 1998.
[11] E. Carrera. Evaluation of layerwise mixed theories for laminated plates analysis. AIAA Journal, 36(5):830–839, 1998.
[12] Yang Yan, Alfonso Pagani, and Erasmo Carrera. Exact solutions for free vibration analysis of laminated, box and sandwich beams by refined layer-wise theory. Composite Structures, 175:28 – 45, 2017.
[13] Masoud Tahani. Analysis of laminated composite beams using layerwise displacement theories. Composite Structures, 79(4):535 – 547, 2007.
[14] A. Viglietti, E. Zappino, and E. Carrera. Free vibration analysis of variable angle-tow composite wing structures. Aerospace Science and Technology, 92:114 – 125, 2019.
[15] A. Viglietti, E. Zappino, and E. Carrera. Analysis of variable angle tow composites structures using variable kinematic models. Composites Part B: Engineering, 171:272 – 283, 2019.
[16] Hossein Ghiasi, Damiano Pasini, and Larry Lessard. Optimum stacking sequence design of composite materials part i: Constant stiffness design. Composite Structures, 90(1):1 – 11, 2009.
[17] John Henry Holland et al. Adaptation in natural and artificial systems: an introductory analysis with applications to biology, control, and artificial intelligence. MIT press, 1992.
[18] Mahdi Arian Nik, Kazem Fayazbakhsh, Damiano Pasini, and Larry Lessard. Surrogate-based multi-objective optimization of a composite laminate with curvilinear fibers. Composite Structures, 94(8):2306 – 2313, 2012.
[19] Farhad Alinejad and Daniele Botto. Innovative adaptive penalty in surrogate-assisted robust optimization of blade attachments. Acta Mechanica, 230(8):2735–2750, Aug 2019.
[20] Peng Hao, Xiaojie Yuan, Hongliang Liu, Bo Wang, Chen Liu, Dixiong Yang, and Shuangxi Zhan. Isogeometric buckling analysis of composite variable-stiffness panels. Composite Structures, 165:192 – 208, 2017.
[21] Zafer G¨urdal; Reynaldo Olmedo. In-plane response of laminates with spatially varying fiber orientations - variable stiffness concept. AIAA Journal, 31(4):751–758, 1993.
[22] E. Carrera, M. Cinefra, M. Petrolo, and E. Zappino. Finite Element Analysis of Structures Through Unified Formulation. John Wiley & Sons, 2014.
[23] E Carrera, A Pagani, PH Cabral, A Prado, and G Silva. Component-wise models for the accurate dynamic and buckling analysis of composite wing structures. In ASME 2016 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers Digital Collection, 2017.
[24] Erasmo Carrera and Marco Petrolo. Refined beam elements with only displacement variables and plate/shell capabilities. Meccanica, 47(3):537–556, Mar 2012.
[25] J.N. Reddy. An evaluation of equivalent-single-layer and layerwise theories of composite laminates. Composite Structures, 25(1):21 – 35, 1993.
[26] Ren´e De Borst, Mike A Crisfield, Joris JC Remmers, and Clemens V Verhoosel. Nonlinear finite element analysis of solids and structures. John Wiley & Sons, 2012.
[27] Nasim Fallahi, Andrea Viglietti, Erasmo Carrera, Alfonso Pagani, and Enrico Zappino. Effect of fiber orientation path on the buckling, free vibration, and static analyses of variable angle tow panels. Facta Universitatis, Series: Mechanical Engineering, 18(2):165–188, 2020.
[28] Fan Ye, Hu Wang, and Guangyao Li. Variable stiffness composite material design by using support vector regression assisted efficient global optimization method. Structural and Multidisciplinary Optimization, 56(1):203–219, 2017.
[29] Chun-Teh Chen and Grace X Gu. Machine learning for composite materials. MRS Communications, 9(2):556–566, 2019.
[30] Monika Arora, Farhan Ashraf, Vipul Saxena, Garima Mahendru, Monica Kaushik, and Pritish Shubham. A neural network-based comparative analysis of br, lm, and scg algorithms for the detection of particulate matter. In Advances in Interdisciplinary Engineering, pages 619–634. Springer, 2019.