Skip to main content
Log in

Application of the resonance method for determining the elastic and dissipative properties of an orthotropic polymer composite

  • Published:
Mechanics of Composite Materials Aims and scope

Experimentally determined resonant frequencies and damping of flexural and torsional vibrations of rod-type rectangular test specimens made of an orthotropic GFRP fabric with different ratios of cross-sectional sizes are used for calculating six principal complex elastic and shear moduli. The application of the classical theories of flexural and torsional vibrations, the theory of flexural vibrations of a Timoshenko beam, and a refined theory of torsional vibrations of free-free orthotropic rods is analyzed.

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

Access this article

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

Instant access to the full article PDF.

References

  1. R. E. Gibson, “Vibration test methods for dynamic mechanical property characterization,” in: Manual on Experimental Methods for Mechanical Testing of Composites, 2nd Ed., Society for Experimental Mechanics, Fairmont Press, U.S.A. (1998), pp. 121-134.

    Google Scholar 

  2. T. J. Dudek, “Young’s and shear moduli of unidirectional composites by a resonant beam method,” J. Com pos. Ma ter., 4, No. 11, 232-241 (1970).

    Google Scholar 

  3. P.-O. Larsson, “Determination of Young’s and shear moduli from flexural vibrations of beams,” J. Sound Vibrat., 146, No. 1, 111-123 (1991).

    Article  MathSciNet  ADS  Google Scholar 

  4. M. V. Gershberg and V. S. Ekel’chik, “A method for determining the shear moduli of glass-fiber-reinforced plastics by the vibration method,” Tekhnol. Sudostr., No. 8, 118-124 (1964).

  5. M. V. Gershberg and V. S. Ekel’chik, “Vibration method for determining the shear moduli of orthotropic materials,” in: Properties of Polyester GFRP and Methods for Their Control [in Russian], Leningrad (1967), pp. 184-206.

  6. A. A. Perren, “Control of physicomechanical properties of glass-fi ber-reinforced plastics by acoustic methods,” V Mire Nerazrush. Kontr., No. 2 (28), 4-6 (2005).

  7. V. S. Ekel’chik, “A technique for determining the elastic and dissipative properties of orthotropic composites in shear,” Mech. Compos. Mater., 37, Nos. 5/6, 511-518 (2001).

    Article  Google Scholar 

  8. V. S. Ekel’chik, “Resonance methods for determining the complex shear moduli of orthotropic composites,” Mech. Compos. Mater., 43, No. 6, 487-502 (2007).

    Article  Google Scholar 

  9. M. V. Gershberg, “Determination of the modulus of normal elasticity of glass-fiber-reinforced plastics by the vibration method,” Tekhnol. Sudostr., No. 6, 79-84 (1963).

  10. A. N. Tikhonov, A. V. Goncharskii, V. V. Stepanov, and A. G. Yagoda, Numerical Methods for Solution of Incorrect Problems [in Russian], Nauka, Moscow (1990).

    Google Scholar 

  11. V. M. Ryabov and B. A. Yartsev, “Iteration method for determining the elastic and dissipative characteristics of polymer composite materials. Pt. II. Minimization of experimental errors,” Vopr. Materialoved., No. 2 (22), 61-70 (2000).

  12. E. Giebe und E. Blechschmidt, “Über Drillungsschwingungen von Quarzstäben und ihre Benutzung für Frequenznormale,” Hochfrequenztechn. Elektroakust., 56, Heft 3, 65-87 (1940).

    Google Scholar 

  13. A. D. S. Barr, “Torsional waves in uniform rods of non-circular section,” J. Mech. Eng. Sci., 4, No. 2, 127-135 (1962).

    Article  MathSciNet  Google Scholar 

  14. V. S. Ekel’chik, “Torsional vibrations and dispersion of torsional waves in orthotropic composite rods,” Mech. Compos. Mater., 44, No. 2, 109-120 (2008).

    Article  Google Scholar 

  15. V. S. Ekel’chik and V. M. Ryabov, “Various methods of determining the natural frequencies and damping of composite cantilever plates. 3. The Ritz method,” Mech. Compos. Mater., 32, No. 2, 153-159 (1997).

    Article  Google Scholar 

  16. I. G. Ritchie, H. E. Rosinger, A. J. Shillinglaw, and W. H. Fleury, “The dynamic elastic behaviour of a fiber-reinforced composite sheet. II. The transfer matrix calculation of the resonant frequencies and vibration shapes,” J. Phys. D: Appl. Phys., 8, No. 15, 1750-1786 (1975).

    Article  ADS  Google Scholar 

  17. I. G. Ritchie, H. E. Rosinger, A. J. Shillinglaw, and W. H. Fleury, “The dynamic elastic behaviour of a fiber-reinforced composite sheet. 1. The precise experimental de termination of the principal elastic moduli,” J. Phys. D: Appl. Phys., 8, No. 15, 1733-1749 (1975).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Consortia

Additional information

Translated from Mekhanika Kompozitnykh Materialov, Vol. 45, No. 5, pp. 647-662, September-October, 2009.

Rights and permissions

Reprints and permissions

About this article

Cite this article

V. S. Ekel’chik., G. I. Nikolaev. & A. A. Perren. Application of the resonance method for determining the elastic and dissipative properties of an orthotropic polymer composite. Mech Compos Mater 45, 445–456 (2009). https://doi.org/10.1007/s11029-009-9100-y

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11029-009-9100-y

Keywords

Navigation