Effect of a Linear-Exponential Penalty Functionon the GA-s Efficiency in Optimization of a Laminated Composite Panel

Authors: A. Abedian, M. H. Ghiasi, B. Dehghan-Manshadi

Abstract:

A stiffened laminated composite panel (1 m length × 0.5m width) was optimized for minimum weight and deflection under several constraints using genetic algorithm. Here, a significant study on the performance of a penalty function with two kinds of static and dynamic penalty factors was conducted. The results have shown that linear dynamic penalty factors are more effective than the static ones. Also, a specially combined linear-exponential function has shown to perform more effective than the previously mentioned penalty functions. This was then resulted in the less sensitivity of the GA to the amount of penalty factor.

Keywords: Genetic algorithms, penalty function, stiffenedcomposite panel, finite element method.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1060852

References:

[1] Caligiana, G., Cesari, F., Persiana, F. & Seggiani, G. M., "Optimization of an Air Intake Ramp in Composite Material by utilizing FEM and GA Numerical Program", XII ADM International Conf., Rimini, Italy, pp. 112-123, 2001.
[2] Liu, B., Haftka, R. T., Akgun, M. A., "Composite Wing Structural Optimization Using Genetic Algorithms and Response Surfaces", AIAA paper 98-4854, pp. 1-13, Florida, USA, 1998.
[3] Nagendra, S., Haftka, R. T., and Gurdal, Z., "Stacking Sequence Optimization of Simply Supported Laminates with Stability and Strain Constraints", AIAA Journal, Vol. 30, No. 8, pp. 2132-2137, 1992.
[4] Mesquitea, L., and Karmat, M. P., "Optimization of Stiffened Laminated Composite Plates with Frequency Constrains", Engineering Optimization, Vol. 11, pp. 77-86, 1987.
[5] P. Nanakorn, K. Mecsomklin, "An Adaptive Penalty Function in Genetic Algorithms for Structural Design optimization", Computers and Structures, Vol. 79, pp. 2527-2539, 2001.
[6] Shakoori, A., "Design Cycle Methodology Development for a Transonic UAV", Master thesis, Aerospace Dep., Sharif University of Technology, Tehran, Iran, 2000.
[7] Callahan, K. J., and Weeks, G. E., "Optimum Design of Composite Laminates Using Genetic Algorithm", Composite Engineering, Vol. 2, No. 3, pp. 149-160, 1992.
[8] Nagendra, S., Jestin, D., Gurdal, Z., and Waston, L. T., "Improved Genetic Algorithm for the Design of Stiffened Composite Panels", Computers & Structures, Vol. 58, No. 3, pp. 543-555, 1996.
[9] Hejla, P., "Genetic Search-An Approach to the Non-convex Optimization Problem", AIAA Journal, Vol. 28, No. 7, pp. 1205-1210, 1990.
[10] Rao, S. S., Pan, T. S., and Venkayya, V. B., "Optimal Placement of Actuators in Actively Controlled Structures Using Genetic Algorithms", AIAA Journal, Vol. 29, No. 6, pp. 942-943, 1990.
[11] S.S. Rao, "Optimization Theory and Applications", second edition, Wiley Eastern Limited, New Delhi, 1985.
[12] A. Carlos, C.A. Coello coello, " Theoretical and Numerical Constraint- Handling Techniques used with Evolutionary Algorithms: A Survey of the State of the Art", Computer Methods in Applied Mechanics and Engineering, Vol. 191, pp 1245-1287, 2002.
[13] C.A. Coello coello, "A Comprehensive Survey of Evolutionary-Based Multiobjective Optimization Techniques", Allel problem solving from nature V, pp. 292-301, 1998.
[14] A. Abedian, M.H. Ghiasi, B. Dehghan-Manshadi, " Influence of External Penalty Functions in Optimization of Stiffened Composite Panels Using Genetic Algorithm ", To be Appeared in 2nd international & 5th Biannual Conference of Aerospace Engineering , Iran, Feb. 16-18, 2004.
[15] A. Abedian, M.H. Ghiasi, B. Dehghan-Manshadi, "Application of Genetic Algorithm (GAs) to the Design of Laminated Composites", 11th Annual Conference of Mechanical Engineering (ISME), Vol. 6, pp. 401- 409, Iran, May 13-15, 2003.