Iranian Journal of Mechanical Engineering Transactions of ISME

Iranian Journal of Mechanical Engineering Transactions of ISME

Size and shape optimization of two dimensional trusses applying multi objective functions with NSCSS method

Authors
Department of Mechanical Engineering, Semnan University, Semnan, Iran
Abstract
This paper covers optimization techniques for trusses to find the most efficient cross sections and configuration of joints. The improvement will be achieved by applying changes in one or both of these parameters. Objective functions for optimization is weight and the deflection of the truss’s joints. For optimization of both weight and deflection the NSCSS method is used. This is a powerful method that enables the optimization of huge trusses. The former methods for optimization of the shape or size of the trusses, was done separately and as a single objective while this paper covers a new way via multi-objective methods. For proofing the ability of the represented method in this paper, some standard examples are compared. The comparison of the results shows good accuracy and desirable verity of pareto front.
Keywords

[1] Schmit, L., “A Structual Synthesis – its Genesis and Developments”, AIAA Journal, Vol. 19, No. 0, pp. 1249-1263, (1981).
 
 [2] Schmit, L. A., “Structural Optimization: A Unified Approach”, Wiley, New York N.Y.,  pp. 1-45, (1982).
 
[3] Zhou, M, and Xia, R, “An Efficient Method of Truss Design for Optimum Gometry”, Computers and Structures, Vol. 35, No. 2, pp. 115-119, (1990).
 
[4] Michelle, A.G.M., “The Limits of Economy of Material in Frame-structures, Philos Mag”, Vol. 8, pp. 589-597, (1906).
 
] 5[ مجتبی شیخی و علی قدوسیان “طراحی موقعیت بهینه ساپورت های سازه با استفاده از روش رقابت استعماری و المان محدود اصلاح یافته” ، مهندسی مکانیک مدرس، دوره(12)، شماره (3)، شهریور(1391)، صفحه 50-59، (1390).
 
[6] Kaveh, A., and Talatahari, S., “A Novel Heuristic Optimization Method: Charged System Search”. Acta. Mech. Vol. 213, No. 3-4, pp. 267–289, (2010).
 
[7] Kalyanmoy, Deb., "A Fast and Elitist Multiobjective Genetic Algorithm: NSGA-II" , IEEE  Transactions  on  Evolutionary Computation, Vol. 6, No. 2, April, ( 2002.(
 
[8] Guan, C.L., and Chung, H.C., "Multi-objective Optimal Design of Truss Structure with Immune Algorithm", Computers and Structures, Vol. 82, pp. 829-844, (2004).
 
[9] Lamberti, L., and Pappalettere, C., "Improved Sequential Linear Programming Formulation for Structural Weight Minimization", Comput. Methods Appl. Mech. Eng., Vol. 193, pp. 3493–3521, (2004).
 
 [10] Wang, D., Zhang, W.H., and Jiang, J.S., “Truss Shape Optimization with Multiple Displacement Constraints”, Comput. Methods Appl. Mech. Eng., Vol. 191, pp. 3597–3612, (2002).
 
 [11] Wang, D., “Optimal Shape Design of a Framestructure for Minimization of Maximum Bending Moment”, Engin. Struct. Vol. 29, pp. 1824–1832, (2007).
 
] 12  [علی قدوسیان و مجتبی شیخی، یافتن شکل بهینه سازه اسکلتی به کمک روش بهینه سازی طراحی سرد کردن فلزات، مجله علمی پژوهشی مکانیک سازه ها و شاره ها دوره (2)، شماره (1)، صفحه 13-21، (1391).
 
 [13] Ahrari, A., and Atari, A., “Fully Stressed Design Evolution Strategy for Shape and Size Optimization of Truss Structures”, Computers and Structures, Vol. 123, pp. 58-67, (2013).
Volume 17, Issue 1 - Serial Number 38
System Dyanamics and Solid Mechanics
Spring 2015
Pages 40-54

  • Receive Date 22 May 2015