Skip to main content

Advertisement

SpringerLink
Log in

On the determination of mechanical properties of composite laminates using genetic algorithms

  • Published:
International Journal of Mechanics and Materials in Design Aims and scope Submit manuscript

Abstract

This paper describes a method which combines finite element analysis and genetic algorithms (GAs) for identifying the elastic constants of composite laminates by using vibration test data. A procedure updates the elastic constants in a numerical model so that the output from the numerical code fits the results from vibration testing. In this approach, the elastic constants can be readily identified in a single test without damaging the structure. The GA, developed on a personal computer using the language MATLAB, applies the general-purpose numerical code MSC-NASTRAN to carry out the modal analysis.

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

  • E.O. Ayorinde (1995) ArticleTitleElastic constants of thick orthotropic plates Journal of Composite Materials 29 IssueID8 1025–1039

    Google Scholar 

  • E.O. Ayorinde R.F. Gibson (1993) ArticleTitleElastic constants of orthotropic composites materials using plates resonance frequencies, classical lamination theory and an optimized three mode rayleigh formulation Composites Engineering 3 IssueID5 395–407

    Google Scholar 

  • K. Balasubramaniam N.S. Rao (1998) ArticleTitleInversion of composite material elastic constants from ultrasonic bulk wave phase velocity data using genetic algorithms Composites Part B, Engineering. 29 171–180

    Google Scholar 

  • G.W. Caldersmith (1984) ArticleTitleVibration of orthotropic rectangular plates Acustica. 56 144–152

    Google Scholar 

  • G. Caldersmith T.D. Rossing (1984) ArticleTitleDetermination of modal coupling in vibrating rectangular plates Applied Acoustics. 17 33–44

    Google Scholar 

  • Carlsson, L.A. and Byron Pipes, R. (1997). Experimental Characterization of Advanced Composite Materials. Technomic Publishing Company Inc.

  • L.D. Chambers (2000) The Practical Handbook of Genetic Algorithms: Applications Chapman & Hall/CRC USA

    Google Scholar 

  • J. Cunha S. Cogan C. Berthod (1999) ArticleTitleApplication of genetic algorithms for the identification of elastic constants of composite materials from dynamic tests International Journal for Numerical Method in Engineering. 45 891–900

    Google Scholar 

  • De Wilde, W.P., Narmon, B., Sol, H., and Roovers, M. (1984). Determination of the material constants of an anisotropic lamina by free vibration analysis. Proceedings of the 2nd International Modal Analysis Conference, Orlando, Fl., pp. 44–49

  • De Wilde, W.P., Sol, H. and Van Overmeire, M. (1986). Coupling of lagrange interpolation, modal analysis and sensitivity analysis in the determination of anisotropic plate rigidities. Proceedings of the 4th International Modal Analysis Conference, Los Angeles, Ca., pp. 1058–1063

  • L.R. Deobald R.F. Gibson (1988) ArticleTitleDetermination of elastic constants of orthotropic plates by modal analysis/rayleigh-ritz technique Journal of Sound and Vibration. 124 IssueID2 269–283

    Google Scholar 

  • KE Fällström M.A. Jonsson (1991) ArticleTitleA nondestructive method to determine material properties in anisotropic plates Polymer Composites 12 IssueID5 293–305

    Google Scholar 

  • K.E. Fällström M.A. Jonsson (1991) ArticleTitleDetermining material properties in anisotropic plates using rayleigh’s method Polymer Composites 8 IssueID2 306–314

    Google Scholar 

  • K.E. Fällström N.E. Molin (1987) ArticleTitleA nondestructive method to determine material properties in orthotropic plates Polymer Composites. 8 IssueID2 103–108

    Google Scholar 

  • K.E. Fällström K. Olofsson H.O. Saldner S. Schedin (1996) ArticleTitleDynamic material parameters in an anisotropic plate estimated by phase-stepped holographic interferometry Optics and Lasers in Engineering. 24 429–454

    Google Scholar 

  • P.S. Frederiksen (1997) ArticleTitleExperimental procedure and results for the identification of elastic constants of thick orthotropic plates Journal of Composite Materials. 31 360–82

    Google Scholar 

  • P.S. Frederiksen (1998) ArticleTitleParameter uncertainty and design of optimal experiments for the estimation of elastic constants International Journal of Solids Structures. 35 IssueID12 1241–1260

    Google Scholar 

  • S. Gagneja R.F. Gibson E.O. Ayorinde (2001) ArticleTitleDesign of test specimens for the determination of elastic through-thickness shear properties of thick composites from measured modal vibration frequencies Composite Science and Technology. 61 679–687

    Google Scholar 

  • Gaul L., Willner K., Hurlebaus S. (1999). Determination of material properties of plates from modal ESPI measurement. Proceedings of the 17th International Modal Analysis Conference, Orlando, Fl., pp. 1756–1763

  • L. Gaul M. Hanss S. Hurlebaus (2002) ArticleTitleFuzzy sensitivity analysis for determining of material properties of orthotropic plates from eigenfrequencies Mechanical Systems and Signal Processing. 16 IssueID5 769–784

    Google Scholar 

  • R.F. Gibson (1997) Principles of Composite Material Mechanics McGraw-Hill New York

    Google Scholar 

  • R.F. Gibson (2000) ArticleTitleModal vibration response measurements for characterization of composite materials and structures Composites Science and Technology. 60 2769–2780

    Google Scholar 

  • Sitton. Grant (1997) MSC/NASTRAN basic dynamic analysis user’s guide The MacNeal-Schwendler Corporation USA

    Google Scholar 

  • M. Grediac P.A. Paris (1996) ArticleTitleDirect identification of elastic constants of anisotropic plates by modal analysis: theoretical and numerical aspects Journal of Sound and Vibration. 195 IssueID3 401–415

    Google Scholar 

  • M. Grediac N. Fourier P.A. Paris Y. Surrel (1998) ArticleTitleDirect identification of elastic constants of anisotropic plates by modal analysis: experiment and results Journal of Sound and Vibration. 210 IssueID5 645–659

    Google Scholar 

  • Hua H. (1993). Identification of plate rigidities of anisotropic plate rectangular plates, sandwich panels and circular orthotropic discs using vibration data. phd dissertation, Free University of Brussels

  • S.F. Hwang C.S. Chang (2000) ArticleTitleDetermination of elastic constants of materials by vibration testing Composite Structures. 49 183–190

    Google Scholar 

  • T.C. Lai T.C. Lau (1993) ArticleTitleDetermination of elastic constants of a generally orthotropic plate by modal analysis International Journal of Analytical and Experimental Model Analysis. 8 15–33

    Google Scholar 

  • D. Larsson (1997) ArticleTitleUsing modal analysis for estimation of anisotropic material constants Journal of Engineering Mechanics. 123 IssueID3 222–229

    Google Scholar 

  • G.R. Liu W.B. Ma X. Han (2002) ArticleTitleAn inverse procedure for determination of material constants of composite laminates using elastic waves Computer Methods in Applied Mechanics and Engineering. 191 3543–3554

    Google Scholar 

  • G.R. Liu X. Han K.Y. Lam (2002) ArticleTitleA combined genetic algorithm and nonlinear least squares method for material characterization using elastic waves Computer Methods in Applied Mechanics and Engineering. 191 1909–1921

    Google Scholar 

  • M.E. McIntyre J. Woodhouse (1988) ArticleTitleOn measuring the elastic and damping constants of orthotropic sheet materials Acta Metallurgica. 36 1397–1416

    Google Scholar 

  • M. Mitchell (1999) An Introduction to Genetic Algorithms Apogeo Scientifica Italy

    Google Scholar 

  • D.C. Montgomery (1991) Design and Analysis of Experiment EditionNumber3 John Wiley & Sons USA

    Google Scholar 

  • C.M. Mota Soares M. Moreira Freitas Particlede A.L. Araújo P. Pedersen (1993) ArticleTitleIdentification of material properties of composite plate specimens Composite Structures. 25 277–285

    Google Scholar 

  • P Pedersen (1989) Optimisation method applied to identification of materials parameters H.A. Eschenauer G. Thierau (Eds) Discretization Methods and Structural Optimisation-Procedures and Applications Springer-Verlag Berlin 277

    Google Scholar 

  • P. Pedersen P.S. Frederiksen (1992) ArticleTitleIdentification of orthotropic material moduli by a combined experimental/numerical method Measurement 10 IssueID3 113–118

    Google Scholar 

  • G.L. Qian S.V. Hoa X. Xiao (1997) ArticleTitleA vibration method for measuring mechanical properties of composite, theory and experiment Composite Structures. 39 31–38

    Google Scholar 

  • R. Rikards A. Chate W. Steinchen A. Kessler A.K. Bledzki (1999) ArticleTitleMethod for identification of elastic properties of laminates based on experiment design Composites: Part B. 30 279–289

    Google Scholar 

  • Sol H. (1986). Identification of Anisotropic Plate Rigidities Using Free Vibration Data. Doctoral Dissertation, University of Brussels

Download references

Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, University of Calabria, Ponte P. Bucci Cubo 45C, 87030, Arcavacata di Rende (CS), Italy

    C. Maletta & L. Pagnotta

Authors
  1. C. Maletta
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. L. Pagnotta
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to L. Pagnotta.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Maletta, C., Pagnotta, L. On the determination of mechanical properties of composite laminates using genetic algorithms. Int J Mech Mater Des 1, 199–211 (2004). https://doi.org/10.1007/s10999-004-1731-5

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10999-004-1731-5

Keywords

Search

Navigation