Simultaneous analysis and optimal design of truss structures via displacement method

In this paper, an efficient technique is proposed by displacement method of analysis and three metaheuristic algorithms consisting of the Colliding Bodies Optimization (CBO), Enhanced Colliding Bodies Optimization (ECBO) and Vibrating Particles System (VPS), for the simultaneous analysis and optimal design of truss structures. The presented method is applied to the minimum weight design of some planar and spatial truss structures. For examining the accuracy and efficiency of the proposed method, the problems are also designed by the same metaheuristic algorithms utilizing pure force method and pure displacement method as analysis tools (non-simultaneous) and the resulting structural weights are compared.

[1]  A. Kaveh,et al.  Enhanced colliding bodies optimization for design problems with continuous and discrete variables , 2014, Adv. Eng. Softw..

[2]  Ali Kaveh,et al.  Applications of Metaheuristic Optimization Algorithms in Civil Engineering , 2016 .

[3]  Ali Kaveh,et al.  Simultaneous analysis, design and optimization of structures using the force method and supervised charged system search algorithm , 2013 .

[4]  Seyed Mohammad Mirjalili,et al.  The Ant Lion Optimizer , 2015, Adv. Eng. Softw..

[5]  Ali Kaveh,et al.  Colliding bodies optimization: A novel meta-heuristic method , 2014 .

[6]  M. Hassani,et al.  SIMULTANEOUS ANALYSIS, DESIGN AND OPTIMIZATION OF STRUCTURES USING FORCE METHOD AND ANT COLONY ALGORITHMS , 2009 .

[7]  Ali Kaveh,et al.  Analysis, design and optimization of structures using force method and genetic algorithm , 2006 .

[8]  Ibrahim Eksin,et al.  A new optimization method: Big Bang-Big Crunch , 2006, Adv. Eng. Softw..

[9]  Ali Kaveh,et al.  Vibrating particles system algorithm for truss optimization with multiple natural frequency constraints , 2017 .

[10]  R. V. Rao,et al.  Teaching–learning-based optimization algorithm for unconstrained and constrained real-parameter optimization problems , 2012 .

[11]  Zong Woo Geem,et al.  A New Heuristic Optimization Algorithm: Harmony Search , 2001, Simul..

[12]  John H. Holland,et al.  Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence , 1992 .

[13]  Ali Kaveh,et al.  Simultaneous analysis, design and optimization of trusses via force method , 2018 .

[14]  NICSO.  Nature Inspired Cooperative Strategies for Optimization (NICSO 2007) , 2008, NICSO.

[15]  Marco Dorigo,et al.  Ant system: optimization by a colony of cooperating agents , 1996, IEEE Trans. Syst. Man Cybern. Part B.

[16]  Russell C. Eberhart,et al.  A new optimizer using particle swarm theory , 1995, MHS'95. Proceedings of the Sixth International Symposium on Micro Machine and Human Science.

[17]  Xin-She Yang,et al.  Nature-Inspired Metaheuristic Algorithms: Second Edition , 2010 .

[18]  Ardeshir Bahreininejad,et al.  Water cycle, mine blast and improved mine blast algorithms for discrete sizing optimization of truss structures , 2015 .

[19]  Andrew Lewis,et al.  The Whale Optimization Algorithm , 2016, Adv. Eng. Softw..

[20]  Ali Kaveh,et al.  A new meta-heuristic algorithm: vibrating particles system , 2017 .

[21]  Ali Kaveh,et al.  Computational Structural Analysis and Finite Element Methods , 2013 .

[22]  Xin-She Yang,et al.  A New Metaheuristic Bat-Inspired Algorithm , 2010, NICSO.

[23]  Afshon Ostovar.  Big Bang, Big Crunch , 2016 .

[24]  Siamak Talatahari,et al.  Optimum design of skeletal structures using imperialist competitive algorithm , 2010 .