Prediction and analysis of optimal frequency of layered composite structure using higher-order FEM and soft computing techniques

  • Das, Arijit (Department of Mechanical Engineering, National Institute of Technology Rourkela) ;
  • Hirwani, Chetan K. (Department of Mechanical Engineering, National Institute of Technology Rourkela) ;
  • Panda, Subrata K. (Department of Mechanical Engineering, National Institute of Technology Rourkela) ;
  • Topal, Umut (Department of Civil Engineering, Faculty of Technology, Karadeniz Technical University) ;
  • Dede, Tayfun (Department of Civil Engineering, Karadeniz Technical University)
  • Received : 2018.08.02
  • Accepted : 2018.12.02
  • Published : 2018.12.25


This article derived a hybrid coupling technique using the higher-order displacement polynomial and three soft computing techniques (teaching learning-based optimization, particle swarm optimization, and artificial bee colony) to predict the optimal stacking sequence of the layered structure and the corresponding frequency values. The higher-order displacement kinematics is adopted for the mathematical model derivation considering the necessary stress and stain continuity and the elimination of shear correction factor. A nine noded isoparametric Lagrangian element (eighty-one degrees of freedom at each node) is engaged for the discretisation and the desired model equation derived via the classical Hamilton's principle. Subsequently, three soft computing techniques are employed to predict the maximum natural frequency values corresponding to their optimum layer sequences via a suitable home-made computer code. The finite element convergence rate including the optimal solution stability is established through the iterative solutions. Further, the predicted optimal stacking sequence including the accuracy of the frequency values are verified with adequate comparison studies. Lastly, the derived hybrid models are explored further to by solving different numerical examples for the combined structural parameters (length to width ratio, length to thickness ratio and orthotropicity on frequency and layer-sequence) and the implicit behavior discuss in details.


laminated composite;TLBO;PSO;ABC;HSDT;optimization


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