Inverse identification of elastic properties of composite materials using hybrid GA-ACO-PSO algorithm

Abstract The main emphasis of this paper is placed on the effectiveness of the proposed optimization method in material identification. The primary motivation of integrating GA, ACO and PSO is to minimize each other’s weaknesses and to promote respective strengths. In the proposed algorithm, the effect of random initialization of GA is subdued by passing the products of GA through the ACO and PSO operators to well organize the exploitative and exploratory search coverage. In return, GA improves the convergence rate and alleviates the strong dependency on the pheromone array in ACO as well as resolves the conflict arisen in identifying the trade-off parameter and further refine the exploitative search of PSO with the introduction of two-point standard mutation and one-point refined mutation. The proposed algorithm has been verified and applied in composite material identification with absolute percentage errors between measured and evaluated natural frequencies not more than 2%.

[1]  B. Ang,et al.  Identification of material properties of composite materials using nondestructive vibrational evaluation approaches: A review , 2017 .

[2]  Olympia Roeva,et al.  Hybrid GA-ACO Algorithm for a model parameters identification problem , 2014, 2014 Federated Conference on Computer Science and Information Systems.

[3]  Zubaidah Ismail,et al.  Determination of material properties of orthotropic plates with general boundary conditions using Inverse method and Fourier series , 2013 .

[4]  Nils-Erik Molin,et al.  A nondestructive method to determine material properties in orthotropic plates , 1987 .

[5]  Zubaidah Ismail Henry Khov and Wen L. Li.  Identifying Material Properties of Composite Materials from Vibration Data , 2011 .

[6]  Pauli Pedersen.  Optimization Method Applied to Identification of Material Parameters , 1989 .

[7]  Ward Heylen,et al.  Mixed numerical-experimental identification of elastic properties of orthotropic metal plates , 2003 .

[8]  Rong-Song He,et al.  Identification of effective elastic constants of composite plates based on a hybrid genetic algorithm , 2009 .

[9]  Marco Dorigo,et al.  The ant colony optimization meta-heuristic , 1999 .

[10]  G. B. Warburton,et al.  The Vibration of Rectangular Plates , 1954 .

[11]  Riccardo Poli,et al.  Particle swarm optimization , 1995, Swarm Intelligence.

[12]  N. S. A. A. Jalil,et al.  Parametric modelling of flexible plate structures using continuous ant colony optimization , 2015, J. Simulation.

[13]  K. Shankar,et al.  System identification of a composite plate using hybrid response surface methodology and particle swarm optimization in time domain , 2014 .

[14]  Ronald F. Gibson,et al.  An accurate solution method for the static and dynamic deflections of orthotropic plates with general boundary conditions , 2009 .

[15]  Janis Auzins,et al.  Identification of Elastic Properties of Composite Laminates , 2003 .

[16]  C. R. Lee,et al.  Identification of mechanical properties of elastically restrained laminated composite plates using vibration data , 2006 .

[17]  Gesellschaft für Angewandte Mathematik und Mechanik,et al.  Discretization Methods and Structural Optimization: Procedures and Applications : Proceedings of a Gamm-Seminar October 5-7, 1988, Siegen, Frg , 1989 .

[18]  M. Guedri,et al.  Numerical-Experimental Updating Identification of Elastic Behavior of a Composite Plate Using New Multi-Objective Optimization Procedure , 2013 .

[19]  Damodar Maity,et al.  Damage assessment of truss structures from changes in natural frequencies using ant colony optimization , 2012, Appl. Math. Comput..

[20]  Ronald F. Gibson,et al.  Determination of elastic constants of orthotropic plates by a modal analysis/Rayleigh-Ritz technique , 1988 .

[21]  S. G. Ponnambalam,et al.  A hybrid ACO/PSO heuristic to solve single row layout problem , 2008, 2008 IEEE International Conference on Automation Science and Engineering.

[22]  J. Reddy.  Mechanics of laminated composite plates and shells : theory and analysis , 1996 .

[23]  Rami H. Haddad,et al.  Free vibration of composite plates using the finite difference method , 2004 .

[24]  S. G. Ponnambalam,et al.  A hybrid GA/PSO for the concurrent design of cellular manufacturing system , 2008, 2008 IEEE International Conference on Systems, Man and Cybernetics.

[25]  Wolfgang Steinchen,et al.  Method for identification of elastic properties of laminates based on experiment design , 1999 .

[26]  M. Mukhopadhyay,et al.  Determination of Physical Parameters of Stiffened Plates using Genetic Algorithm , 2002 .

[27]  Kavita Choudhary,et al.  A hybrid ACO-PSO technique for path planning , 2015, 2015 2nd International Conference on Computing for Sustainable Global Development (INDIACom).

[28]  Kun Chen,et al.  Integration of process planning and scheduling using a hybrid GA/PSO algorithm , 2014, The International Journal of Advanced Manufacturing Technology.

[29]  Gui-Rong Liu,et al.  A Modified Micro Genetic Algorithm with Intergeneration Projection and Inverse Identification of Material Properties of a Printed Circuit Board , 2003 .

[30]  K. Y. Lam,et al.  A combined genetic algorithm and nonlinear least squares method for material characterization using elastic waves , 2002 .

[31]  Rimantas Belevičius,et al.  Elastic Constants of Composite Materials by an Inverse Determination Method Based on A Hybrid Genetic Algorithm , 2010 .

[32]  M. Sheikhalishahi,et al.  A hybrid GA–PSO approach for reliability optimization in redundancy allocation problem , 2013 .

[33]  Gui-rong Liu,et al.  Computational Inverse Technique for Material Characterization of Functionally Graded Materials , 2003 .

[34]  Yiliang Xu,et al.  A GA-ACO-local search hybrid algorithm for solving quadratic assignment problem , 2006, GECCO.

[35]  Siamak Noroozi,et al.  Identification of material properties of orthotropic composite plate using hybrid non-destructive evaluation approach , 2014 .

[36]  A. Bennett.  The Origin of Species by means of Natural Selection; or the Preservation of Favoured Races in the Struggle for Life , 1872, Nature.

[37]  C. R. Lee,et al.  System Identification of Partially Restrained Composite Plates Using Measured Natural Frequencies , 2006 .