Optimum Design of Truss Structures Under Frequency Constraints using Hybrid CSS-MBLS Algorithm

Optimum design of truss structures under frequency constraints is a complicated highly non-linear optimization problem with nonconvex solution space. In this paper, a hybrid Charged System Search (CSS) algorithm with Migration-based Local Search (MBLS) is proposed for resolving this problem. The CSS algorithm as a developed metaheuristic optimization algorithm is inspired by the governing laws of electrostatics in physics and the governing laws of motion from the Newtonian mechanics. In the proposed hybrid CSS-MBLS algorithm, the convergence speed of the standard CSS algorithm is enhanced by the MBLS mechanism. Numerical results obtained from some design examples reveal the successfulness and effectiveness of the proposed algorithm in solving truss optimum design problem under frequency constraints.

[1]  Ali Kaveh,et al.  Enhanced Colliding Bodies Algorithm for Truss Optimization with Frequency Constraints , 2015 .

[2]  Ramana V. Grandhi,et al.  Structural optimization with frequency constraints , 1988 .

[3]  S. O. Degertekin Optimum design of steel frames using harmony search algorithm , 2008 .

[4]  Mohsen Khatibinia,et al.  Truss optimization on shape and sizing with frequency constraints based on orthogonal multi-gravitational search algorithm , 2014 .

[5]  Yousef Hosseinzadeh,et al.  Hybridizing electromagnetism-like mechanism algorithm with migration strategy for layout and size optimization of truss structures with frequency constraints , 2015, Neural Computing and Applications.

[6]  A. Kaveh,et al.  Shape and size optimization of trusses with multiple frequency constraints using harmony search and ray optimizer for enhancing the particle swarm optimization algorithm , 2014 .

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

[8]  Ali Husseinzadeh Kashan,et al.  League Championship Algorithms for Optimum Design of Pin-Jointed Structures , 2017, J. Comput. Civ. Eng..

[9]  A. Kaveh,et al.  Comparison of nine meta-heuristic algorithms for optimal design of truss structures with frequency constraints , 2014, Adv. Eng. Softw..

[10]  A. Kaveh,et al.  Democratic PSO for truss layout and size optimization with frequency constraints , 2014 .

[11]  R. Macarthur,et al.  The Theory of Island Biogeography , 1969 .

[12]  Leandro Fleck Fadel Miguel,et al.  Shape and size optimization of truss structures considering dynamic constraints through modern metaheuristic algorithms , 2012, Expert Syst. Appl..

[13]  Herbert Martins Gomes,et al.  Truss optimization with dynamic constraints using a particle swarm algorithm , 2011, Expert Syst. Appl..

[14]  A. Kaveh,et al.  A novel heuristic optimization method: charged system search , 2010 .

[15]  Ali Kaveh,et al.  SHAPE AND SIZE OPTIMIZATION OF TRUSS STRUCTURES WITH FREQUENCY CONSTRAINTS USING ENHANCED CHARGED SYSTEM SEARCH ALGORITHM , 2011 .

[16]  Albert A. Groenwold,et al.  Sizing design of truss structures using particle swarms , 2003 .

[17]  O. Hasançebi,et al.  Performance evaluation of metaheuristic search techniques in the optimum design of real size pin jointed structures , 2009 .

[18]  A. Kaveh,et al.  Optimal design of dome truss structures with dynamic frequency constraints , 2016 .

[19]  Marco Dorigo,et al.  An Investigation of some Properties of an "Ant Algorithm" , 1992, PPSN.

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

[21]  Shahin Jalili,et al.  Enhanced Biogeography-based Optimization: A New Method for Size and Shape Optimization of Truss Structures with Natural Frequency Constraints , 2016 .

[22]  Jiahao Lin,et al.  Structural optimization on geometrical configuration and element sizing with statical and dynamical constraints , 1982 .

[23]  Ali Kaveh,et al.  Truss optimization with natural frequency constraints using a hybridized CSS-BBBC algorithm with trap recognition capability , 2012 .

[24]  D. Wang,et al.  Truss Optimization on Shape and Sizing with Frequency Constraints , 2004 .

[25]  Ying Wang,et al.  Damage Identification Scheme Based on Compressive Sensing , 2015, J. Comput. Civ. Eng..

[26]  Robert G. Reynolds,et al.  Cultural algorithms: theory and applications , 1999 .

[27]  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.

[28]  Leandro Fleck Fadel Miguel,et al.  Search group algorithm , 2015 .

[29]  Siamak Talatahari,et al.  Optimal design of skeletal structures via the charged system search algorithm , 2010 .

[30]  B. Tabarrok,et al.  Structural optimization with frequency constraints using the finite element force method , 2002 .

[31]  Sungkon Moon,et al.  Discrete Firefly Algorithm for Scaffolding Construction Scheduling , 2017 .

[32]  Zenon Mróz,et al.  Sensitivity analysis and optimal design of 3D frame structures for stress and frequency constraints , 2000 .

[33]  Yousef Hosseinzadeh,et al.  A Cultural Algorithm for Optimal Design of Truss Structures , 2015 .

[34]  Yousef Hosseinzadeh,et al.  A biogeography-based optimization for optimum discrete design of skeletal structures , 2016 .

[35]  Meng Guang,et al.  Truss optimization on shape and sizing with frequency constraints based on genetic algorithm , 2005 .

[36]  Yousef Hosseinzadeh,et al.  Chaotic biogeography algorithm for size and shape optimization of truss structures with frequency constraints , 2014 .

[37]  Ali Kaveh,et al.  A new metaheuristic for continuous structural optimization: water evaporation optimization , 2016 .

[38]  Dan Simon,et al.  Biogeography-Based Optimization , 2022 .