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Optimization of IGA Parameters Based on Beam Structure Using Cuckoo Search Algorithm

  • Samir Khatir
  • Magd Abdel Wahab
  • Djilali Boutchicha
  • Roberto Capozucca
  • Tawfiq Khatir
Conference paper
Part of the Lecture Notes in Mechanical Engineering book series (LNME)

Abstract

In this study, free vibration analysis of Timoshenko beams is presented in order to determine the error in natural frequencies of a beam using experimental and numerical analysis based on Isogeometric analysis (IGA). Numerical modeling based on IGA has been updated using Cuckoo search algorithm according to the results found by experiments. NURBS order and sensitivity of discretization in the longitudinal and transversal directions are updated by Cuckoo search to identify the IGA best parameters. The results show that higher accuracy is achieved by using optimization technique for a beam structure to identify the best IGA parameters.

Keywords

Experimental analysis Isogeometric analysis Modal analysis and optimization 

References

  1. 1.
    Lee, S.J., Park, K.S.: Vibrations of Timoshenko beams with isogeometric approach. Appl. Math. Model. 37(22), 9174–9190 (2013)MathSciNetCrossRefGoogle Scholar
  2. 2.
    Shadan, F., Khoshnoudian, F., Inman, D.J., Esfandiari, A.: Experimental validation of a FRF-based model updating method. J. Vib. Control 24(8), 1570–1583 (2018)CrossRefGoogle Scholar
  3. 3.
    Wang, J., Wang, C., Zhao, J.: Frequency response function-based model updating using Kriging model. Mech. Syst. Signal Process. 87, 218–228 (2017)CrossRefGoogle Scholar
  4. 4.
    Gondegaon, S., Voruganti, H.K.: Static structural and modal analysis using Isogeometric analysis. J. Theor. Appl. Mech. 46(4), 36–75 (2016)MathSciNetCrossRefGoogle Scholar
  5. 5.
    Khatir, S., Dekemele, K., Loccufier, M., Khatir, T., Wahab, M.A.: Crack identification method in beam-like structures using changes in experimentally measured frequencies and Particle Swarm Optimization. Comptes Rendus Mécanique 346(2), 110–120 (2018)CrossRefGoogle Scholar
  6. 6.
    Cottrell, J.A., Reali, A., Bazilevs, Y., Hughes, T.J.: Isogeometric analysis of structural vibrations. Comput. Methods Appl. Mech. Eng. 195(41–43), 5257–5296 (2006)MathSciNetCrossRefGoogle Scholar
  7. 7.
    Hughes, T.J., Cottrell, J.A., Bazilevs, Y.: Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement. Comput. Methods Appl. Mech. Eng. 194(39–41), 4135–4195 (2005)MathSciNetCrossRefGoogle Scholar
  8. 8.
    Stoykov, S., Hofreither, C., Margenov, S.: Isogeometric analysis for nonlinear dynamics of Timoshenko beams. In: International Conference on Numerical Methods and Applications, pp. 138–146. Springer (2014)Google Scholar
  9. 9.
    Laura, P., Gutierrez, R.: Analysis of vibrating Timoshenko beams using the method of differential quadrature. Shock Vib. 1(1), 89–93 (1993)CrossRefGoogle Scholar
  10. 10.
    Malekzadeh, P., Karami, G., Farid, M.: DQEM for free vibration analysis of Timoshenko beams on elastic foundations. Comput. Mech. 31(3–4), 219–228 (2003)zbMATHGoogle Scholar
  11. 11.
    Weeger, O., Wever, U., Simeon, B.: Isogeometric analysis of nonlinear Euler-Bernoulli beam vibrations. Nonlinear Dyn. 72(4), 813–835 (2013)MathSciNetCrossRefGoogle Scholar
  12. 12.
    Nguyen, V.P., Anitescu, C., Bordas, S.P., Rabczuk, T.: Isogeometric analysis: an overview and computer implementation aspects. Math. Comput. Simul. 117, 89–116 (2015)MathSciNetCrossRefGoogle Scholar
  13. 13.
    Rauen, M., Machado, R.D., Arndt, M.: Isogeometric analysis applied to free vibration analysis of plane stress and plane strain structures. Revista Interdisciplinar de Pesquisa em Engenharia-RIPE 2(14), 146–155 (2017)Google Scholar
  14. 14.
    Yang, X.-S., Deb, S.: Cuckoo search via Lévy flights. In: World Congress on Nature & Biologically Inspired Computing, NaBIC 2009, pp. 210–214. IEEE (2009)Google Scholar
  15. 15.
    Yang, X.-S., Deb, S.: Engineering optimisation by cuckoo search. Int. J. Math. Model. Numer. Optim. 1(4), 330–343 (2010)zbMATHGoogle Scholar
  16. 16.
    Halim, A.H., Ismail, I.: Bio-inspired optimization method: a review. NNGT J. Int. J. Inf. Syst. 1, 1–6 (2014)Google Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  • Samir Khatir
    • 1
  • Magd Abdel Wahab
    • 2
  • Djilali Boutchicha
    • 3
  • Roberto Capozucca
    • 4
  • Tawfiq Khatir
    • 5
  1. 1.Department of Electrical Energy, Systems and AutomationGhent UniversityZwijnaardeBelgium
  2. 2.Soete Laboratory, Faculty of Engineering and ArchitectureGhent UniversityZwijnaardeBelgium
  3. 3.Laboratoire de Mécanique appliquéeUniversité des Sciences et de la Technologie d’Oran - Mohamed Boudiaf, USTO-MBOranAlgeria
  4. 4.Polytechnic University of MarcheAnconaItaly
  5. 5.Institute of Science and TechnologyUniversity Centre Salhi Ahmed NaamaNaamaAlgeria

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