Skip to main content
SpringerLink
Log in

Estimation of physical properties of laminated composites via the method of inverse vibration problem

  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

Abstract

In this study, estimation of some physical properties of a laminated composite plate was conducted via the inverse vibration problem. Laminated composite plate was modelled and simulated to obtain vibration responses for different length-to-thickness ratio in ANSYS. Furthermore, a numerical finite element model was developed for the laminated composite utilizing the Kirchhoff plate theory and programmed in MATLAB for simulations. Optimizing the difference between these two vibration responses, inverse vibration problem was solved to obtain some of the physical properties of the laminated composite using genetic algorithms. The estimated parameters are compared with the theoretical results, and a very good correspondence was observed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. C. H. Huang, A nonlinear inverse problem in estimating simultaneously the external forces for a vibration system with displacement-dependent parameters, Journal of the Franklin Institute, 342 (7) (2005) 793–813.

    Article  MATH  Google Scholar 

  2. E. H. Shiguemori, L. D. Chiwiacowsky, H. F. de Campos Velho and J. D. S. Da Silva, An inverse vibration problem solved by an artificial neural network, Trends in Applied and Computational Mathematics, 6 (1) (2005) 163–175.

    MathSciNet  MATH  Google Scholar 

  3. L. D. Chiwiacowsky, H. F. Campos Velho and P. Gasbarri, A variational approach for solving an inverse vibration problem, Inverse Problems, Design and Optimization Symposium, Rio de Janerio, Brazil (2004).

  4. G. M. L. Gladwell, Inverse vibration problems for finiteelement models, Inverse Problems, 13 (2) (1997) 311.

    Article  MathSciNet  MATH  Google Scholar 

  5. C. C. Kang and C. Y. Lo, An inverse vibration analysis of a tower subjected to wind drags on a shaking ground, Applied Mathematical Modelling, 26 (4) (2002) 517–528.

    Article  MATH  Google Scholar 

  6. S. Homolya, I. D. Svalbe and C. F. Osborne, Numerical determination of the density profile of an inhomogeneous membrane: Solution of the inverse vibration problem, Journal of Sound and Vibration, 261 (2) (2003) 193–211.

    Article  Google Scholar 

  7. M. Cetkovic and D. Vuksanovic, Bending, free vibrations and buckling of laminated composite and sandwich plates using a layerwise displacement model, Composite Structures, 88 (2) (2009) 219–227.

    Article  Google Scholar 

  8. P. Subramanian, Dynamic analysis of laminated composite beams using higher order theories and finite elements, Composite Structures, 73 (3) (2006) 342–353.

    Article  Google Scholar 

  9. L. Jun, H. Hongxing and S. Rongying, Dynamic finite element method for generally laminated composite beams, International Journal of Mechanical Science, 50 (2008) 466–480.

    Article  MATH  Google Scholar 

  10. G. S. Ramtekkar, Y. M. Desai and A. H. Shah, Natural vibrations of laminated composite beams by using mixed finite element modelling, Journal of Sound and Vibration, 257 (4) (2002) 635–651.

    Article  Google Scholar 

  11. G. L. C. M. De Abreu, J. F. Ribeiro and V. Steffen, Finite element modeling of a plate with localized piezoelectric sensors and actuators, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 26 (2) (2004) 117–128.

    Article  Google Scholar 

  12. J. De Visscher, H. Sol, W. P. De Wilde and J. Vantomme, Identification of the damping properties of orthotropic composite materials using a mixed numerical experimental method, Applied Composite Materials, 4 (1) (1997) 13–33.

    Google Scholar 

  13. J. Cugnoni, T. Gmür and A. Schorderet, Inverse method based on modal analysis for characterizing the constitutive properties of thick composite plates, Computers & Structures, 85 (17) (2007) 1310–1320.

    Article  Google Scholar 

  14. A. L. Araujo, C. M. Soares, J. Herskovits and P. Pedersen, Estimation of piezoelastic and viscoelastic properties in laminated structures, Composite Structures, 87 (2) (2009) 168–174.

    Article  Google Scholar 

  15. M. Matter, T. Gmür, J. Cugnoni and A. Schorderet, Numerical-experimental identification of the elastic and damping properties in composite plates, Composite Structures, 90 (2) (2009) 180–187.

    Article  Google Scholar 

  16. N. Khaji and M. Mehrjoo, Crack detection in a beam with an arbitrary number of transverse cracks using genetic algorithms, Journal of Mechanical Science and Technology, 28 (3) (2014) 823–836.

    Article  Google Scholar 

  17. A. Batish, A. Bhattacharya, M. Kaur and M. S. Cheema, Hard turning: Parametric optimization using genetic algorithm for rough/finish machining and study of surface morphology, Journal of Mechanical Science and Technology, 28 (5) (2014) 1629–1640.

    Article  Google Scholar 

  18. J. N. Reddy, Mechanics of laminated composite plates and shells theory and analysis, CRC Press, New York (1997).

  19. L. P. Kollár and G. S. Springer, Mechanics of Composite Structures, Cambridge University Press, New York (2003).

  20. M. Petyt, Introduction to finite element vibration analysis, Cambridge University Press, New York (2010).

  21. M. Balci, Estimation of physical properties of laminated composites via the method of inverse vibration problem, Ph.D. Thesis, Graduate School of Natural and Applied Sciences, Ataturk University, Turkey (2011).

Download references

Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, Bayburt University, Bayburt, Turkey

    Murat Balci

  2. Department of Mechanical Engineering, Atatürk University, Erzurum, Turkey

    Omer Gundogdu

Authors
  1. Murat Balci
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Omer Gundogdu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Murat Balci.

Additional information

Recommended by Editor Yeon June Kang

Murat Balci is an Assistant Professor, Department of Mechanical Engineering, Bayburt University, Turkey. He received his Ph.D. degree from Ataturk University in Turkey in 2011. He has been mainly engaged in the research of structural vibration and vibration control.

Omer Gundogdu is a Professor, Department of Mechanical Engineering, Ataturk University, Turkey. He received his Ph.D. degree from Rensselaer Polytechnic Institute in USA in 2000. He has been mainly engaged in the research of structural vibration and biomechanics.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Balci, M., Gundogdu, O. Estimation of physical properties of laminated composites via the method of inverse vibration problem. J Mech Sci Technol 31, 29–36 (2017). https://doi.org/10.1007/s12206-016-1204-4

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-016-1204-4

Keywords

Search

Navigation