Topology and Weight Optimization of a 3D Truss By Numerical Method

<- Back to II. Mechanical Engineering & Physics Vol. 10

Cite the paper

Arash Mohammadzadeh Gonabadi, Mohsen Mohebbi, Ali Sohan Ajini (2017). Topology and Weight Optimization of a 3D Truss by Numerical Method. Mechanics, Materials Science & Engineering, Vol 10. doi:10.2412/mmse.52.11.596

Authors: Arash Mohammadzadeh Gonabadi, Mohsen Mohebbi, Ali Sohan Ajini 

ABSTRACT. One of the difficulties in designing a truss is finding the best condition for topology with the minimum weight. Today, several techniques are presented for searching in computer science to find an approximate solution for optimization and research problems that counts as a subset of artificial intelligence. Genetic algorithm is a special type of evolution algorithms, which uses evolutionary biology techniques such as inheritance and mutation. In fact, genetic algorithms use Darwin’s natural selection principles to find optimum formula to forecast or fit the pattern. Genetic algorithms are often good options for forecasting techniques based on accidents. Briefly, it is said that algorithmic is a programming technique which uses genetic evolution as a solution pattern. Using this method along utilizing Matlab and Ansys, we can design a 3D truss by having constraints, supports and applied forces on truss in the optimum condition (geometry and weight) and by connecting these two software we can find FEM results, as well.

Keywords: genetic algorithm, fitness function, 3D truss, topology, constraint, optimization

DOI 10.2412/mmse.52.11.596

View in web format Topology and Weight Optimization of a 3D Truss by Numerical Method

References

[1] Haupt, R. L. and Haupt, E. (2004). Practical Genetic Algorithms. 2th. Ed. John Wiley and Sons, New York.

[2] Sivanandam, S. N. and Deepa, S. N. (2008). Introduction to Genetic Algorithms. Springer-Berlin Heidelberg New York, ISBN 978-3-540-73189-4,

[3] Goldberg, D. E. and Samtani, M. P. (1986). “Engineering Optimization via Genetic Algorithm” Proc, 9th. Conf. Elec. Computations. PP. 471-482.

[4] Rajeev, S. and Krishnamoorthy, C. S. (1992). “Discrete Optimization of Structures Using Genetic Algorithms. ” ASCE, J. Struct Eng., Vol. 118, No. 5, PP. 1233-1250.

[5] Kaveh, A. and Kalatjari, V. (2002). “Genetic Algorithm for Discrete-Sizing Optimal Design of Trusses Using the Force Method” Int J Numer Meth Eng., Vol. 55, PP. 55-72.

[6] Kaveh, A. and Kalatjari, V. (2004). “Size/Geometry Optimization of Trusses by the Force Method and Genetic Algorithm. ” Z Angew Math Mech., Vol. 84, No. 3, PP. 347-357.

[7] Ringertz, U. T. (1985). “On topology optimization of trusses. ” Eng Opt., Vol. 9, PP. 209-218.

[8] Kirsch, U. (1989). “Optimal topologies of truss structures. ” Comp Meth Appl Mech Eng., Vol. 72, PP. 15-28.-

[9] Grierson, D. E. and Pak, W. H. (1993). “Optimal sizing, geometrical and topological design using genetic algorithm. ” Struct Opt., Vol. 6, PP. 151-159.

[10] Hajela, P. and Lee, E. (1995). “Genetic Algorithms in Truss Topological Optimization” Int J Sol Struct., Vol. 32, No. 22, PP. 3341-3357.

[11] Rajan, S. D. (1995). “Sizing, Shape, and Topology Optimization of Trusses Genetic Algorithms” ASCE, J Struct Eng., Vol. 121, No. 10, PP. 1480-1487.

[12] Ohsaki, M. (1995). “Genetic Algorithms for topology optimization of trusses. ” Comput. Struct., Vol. 57, PP.219-225.

[13] Ohsaki, M. (2001). “Random search method based on exact reanalysis for topology optimization of trusses with discrete cross-sectional areas. ” Comput. Struct., Vol. 79, PP. 673-679.

[14] Rajeev, S. and Krishnamoorthy, C. S. (1997). “Genetic Algorithms-based methodology for design optimization of trusses. ” ASCE, J Struct Eng., Vol. 23, PP. 250-358.

[15] Vàzquez-Espí, M. (1998). “Discussion on reference (14). ” ASCE, J Struct Eng., PP. 979-981.

[16] Chai, S., Shi, L. S. and Sun, H. C. (1999). “An application of relative difference quotient algorithm to topology optimization of truss structures with discrete variables. ” Struct Opt., Vol. 18, PP. 48-55.

[17] Kaveh, A., Sabaghian, M. and Kalatjari, V. (1999). “Optimal topology of trusses using the graph theory. ” Proc., 1th Conf Iran Society Civ Eng., PP. 185-192.

[18] Kaveh, A. and Kalatjari, V. (2003). “Topology Optimization of trusses using genetic algorithm, force method and graph theory. ” Int J Numer Meth Eng., Vol. 58, No. 3, PP. 771-791.

[19] Kaveh, A. and Shahrouzi, M. (2006). “Simultaneous topology and size optimization of structures by genetic algorithm using minimal length chromosome. ” Eng Comp Int J Com-Aid Eng Soft., Vol. 23, No. 6, PP. 644-674.

[20] Tang, W., Tong, L. and GU, Y. (2005). “Improved genetic algorithm for design optimization of truss structures with sizing, shape and topology variables. ” Int J Numer Meth Eng., Vol. 62, PP. 737-1762.

[21] Šešok, D. and Belevičius, R. (2007). “Use of Genetic Algorithms in topology optimization of truss structures. ” ISSN 1392-1207. MECHANIKA., Vol. 2, No. 64.

[22] Rahami, H., Kaveh, A. and Gholipour, Y. (2008). “Sizing, geometry and topology optimization of trusses via force method and genetic algorithm. ” Eng. Struct., Vol. 30, No. 9, PP. 2360-2369.

[23] Cheng, J. (2010). “Optimum design of steel truss arch bridges using a hybrid genetic algorithm” J Cons Steel Res., Vol. 66, PP. 1011-1017.

[24] Dede, T., Bekiroğlu, S and Ayvaz, Y. (2010). “Weight Minimization of trusses with genetic algorithm” Appl Soft Comput.

[25] Shrestha, S. M. and Ghaboussi, J. (1998). “Evolution of optimum structural shapes using genetic algorithm” ASCE, J Struct Eng., Vol. 124, No. 11.

[26] Tanimura, Y., Hiroyasu, T. and Miki, M. (2001). “Discussion on Distributed Genetic Algorithms for Designing Truss Structures. ” Proc., 5th Int Conf Exhibi Perf Computing Asia-Pacific Reg Queensland Australia.,

[27] Camp, C. (1998). “Optimized Design Of Two-Dimensional Structures Using A Genetic Algorithm. ” J Struct Eng., Vol. 124, PP.551-559.

[28] Yang, J. and Soh, C. K. (1997). “Structural Optimization by Genetic Algorithms with Tournament Selection. ” ASCE, J Computing Civ Eng., Vol. 11, No. 3, PP. 195-200.

[29] Nanakorn, P. and Meesomklin, K. (2001). “An adaptive Penalty function in genetic algorithms for structural design optimization. ” Comput Struct., Vol. 79, PP. 2527-2539.

[30] Wu, SJ. and Chow, PT. (1995). “Steady-state genetic algorithm for discrete optimization of trusses” Comput Struct., Vol. 56, PP. 979-991.

[31] Lee, KS., Gemm, ZW., Lee, SH. and Bae, KW. (2005). “The harmony search heuristic algorithm for discrete structural optimization” Eng Opt., Vol. 37, PP. 663-684.

[32] Li, LJ., Huang, ZB. and Liu, F. (2009). “A heuristic particle swarm optimization method for truss structures with discrete variables” Comput Struct., Vol. 87, PP. 435-443.

[33] Kaveh, A. and Talatahari, S. (2009). “A particle swarm ant colony optimization for truss structures with discrete variables” J Cons Steel Res., Vol. 65, PP. 1558-1568.

[34] Kaveh, A. and Talatahari, S. (2010). “A charged system search with a fly to boundary method for discrete optimum design of truss structures” Asian J Civil Eng., Vol. 11, PP. 277-293

[35] Arash Mohammadzadeh, A.Ghoddoosian, M. Noori-Damghani. 2011. “Balancing of the Flexible Rotors with Particle Swarm Optimization Method.” International Review of Mechanical Engineering – (Vol. 5 N. 3) – Papers 5 (3): 490-496.

[36] A.  Fereidoon,  H.  Hemmatian,  A.  Mohammad  Zadeh,  E.  Elahe  Asareh,  “Optimization  of  sandwich  panels  based  on  yielding and buckling criteria by using imperialist competitive algorithm,”  Modares  Mech.  Eng.,  vol.  13(4), July  2013,  pp.  25-35 [in Persian].

[37] Nader Mohammadi, Arash Mohammadzadeh. 2015. “Balancing of the flexible rotors with ICA methods.” International Journal of Research and Reviews in Applied Sciences – (Vol. 23 N. 1) – Papers 23 (1): 54-64.

[38] Nader Mohammadi, Arash Mohammadzadeh, ”Optimizing the Collector Performance of a Solar Domestic Hot Water System by the Use of Imperialist Competitive Algorithm with the Help of Exergy Concept,” International Journal of Engineering & Technology Sciences, Volume 3, Pages 65-78, 2015

[39] Nader Mohammadi, Farahnaz Fallah Tafti, Ahmad Reza Arshi, Arash Mohammadzadeh, Raghad Mimar, “Extracting the Optimal Vibration Coefficients of Forefoot Offloading Shoes Using Genetic Algorithms,” International Journal of Engineering and Technology, Volume 2, Pages 487-496, 2014

[40] Amir Mohammadzadeh, Nasrin Mahdipour, Arash Mohammadzadeh, “Forecasting the Cost of Water Using a Neural Network Method in the Municipality of Isfahan,” Journal of Optimization in Industrial Engineering, Volume 5, Pages 73-85, 2012

[41] Amir Mohammadzadeh, Nasrin Mahdipour, Arash Mohammadzadeh, Mohammad Ghadamyari, “Comparison of forecasting the cost of water using statistical and neural network methods: Case study of Isfahan municipality,” Volume 6, Pages 3001, 2012

[42] Arash Mohammadzadeh, N. Etemadee. 2011. ” Optimized Positioning of Structure Supports with PSO for Minimizing the Bending Moment.” International Review of Mechanical Engineering – (Vol. 5 N. 3) – Papers 5 (3): 422-425.

[43] Mohammad Nouri Damghani, Arash Mohammadzadeh Gonabadi (2016). Analytical and Numerical Study of Foam-Filled Corrugated Core Sandwich Panels under Low Velocity Impact. Mechanics, Materials Science & Engineering, Vol 7. doi: http://seo4u.link/10.2412/mmse.6.55.34

[44] Mohammad Nouri Damghani, Arash Mohammadzadeh Gonabadi (2016). Investigation of Energy Absorption in Aluminum Foam Sandwich Panels By Drop Hammer Test: Experimental Results. Mechanics, Materials Science & Engineering, Vol 7. doi: http://seo4u.link/10.2412/mmse.6.953.525

[45] M Nouri Damghani, A Mohammadzadeh Gonabadi (2017). Numerical study of energy absorption in aluminum foam sandwich panel structures using drop hammer test. Journal of Sandwich Structures & Materials. First published date: January-11-2017. doi:10.1177/1099636216685315

[46] M. Noori-Damghani, H.Rahmani, Arash Mohammadzadeh, S.Shokri-Pour. 2011. “Comparison of Static and Dynamic Buckling Critical Force in the Homogeneous and Composite Columns (Pillars).” International Review of Mechanical Engineering – (Vol. 5 N. 7) – Papers 5 (7): 1208-1212.

[47] Mohammad Nouri Damghani, Arash Mohammadzadeh Gonabadi (2017). Numerical and Experimental Study of Energy Absorption in Aluminum Corrugated Core Sandwich Panels by Drop Hammer Test. Mechanics, Materials Science & Engineering, Vol 8. doi: http://seo4u.link/10.2412/mmse.85.747.458

[48] A. Mohammadzadeh, A.Ghoddoosian. 2010. “Balancing of Flexible Rotors with Optimization Methods.” International Review of Mechanical Engineering – (Vol. 4 N. 7) – Papers 4 (7): 917-923.

[49] Arash Mohammadzadeh Gonabadi, Mohammad Nouri Damghani (2017). Multi-Objective Optimization of Kinematic Characteristics of Geneva Mechanism Using High-Tech Optimization Methods. Mechanics, Materials Science & Engineering, Vol 8. doi: http://seo4u.link/10.2412/mmse.26.65.331.

[50] Arash Mohammadzadeh Gonabadi, Mohsen Mohebbi, Ali Sohan Ajini  (2017). The Topology and Weight Optimization of a truss using Imperialist Competitive Algorithm (ICA). Mechanics, Materials Science & Engineering, Vol 10. doi: http://seo4u.link/10.2412/mmse.33.83.364

[51] Nader Mohammadi, Arash Mohammadzadeh, Farahnaz Fallah Tafti. 2014. “Design and Optimization of Piezoresistive MEMS Pressure Sensors Using ABAQUS.” International Journal of Engineering & Technology Sciences – (Vol. 2 N. 6) – Papers 2 (6): 461-473.

[52] Arash Mohammadzadeh, N. Etemadee. 2012. “Design of Heater for City Gate Station Assisted by Solar Energy.” International Review of Mechanical Engineering – (Vol. 6 N. 4) – Papers 6 (4): 730-735.

[53] M. Dehghan, M. Mirzaei, A. Mohammadzadeh, Numerical formulation  and  simulation of  a  non-Newtonian  magnetic fluid  flow  in  the  boundary  layer of  a stretching  sheet, Journal of Modeling in Engineering, 11 (34), 73-82 (2013).

[54] Mohammad Nouri Damghani, Arash Mohammadzadeh Gonabadi (2016). Experimental Investigation of Energy Absorption in Aluminum Sandwich Panels by Drop Hammer Test. Mechanics, Materials Science & Engineering, Vol 7. doi: http://seo4u.link/10.2412/mmse.37.93.34

https://mmse.xyz/Papers/ID20170329.pdf

Creative Commons Licence
Mechanics, Materials Science & Engineering Journal by Magnolithe GmbH is licensed under a Creative Commons Attribution 4.0 International License.
Based on a work at www.mmse.xyz.