Advertisement

Dynamic Characteristics of Composite Laminates

  • S. V. Kulkarni
  • N. J. Pagano
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 34)

Abstract

An exact solution for the vibration of elastic composite laminates in cylindrical bending is presented. Dispersion curves for multi-layer symmetrical and unsymmetrical laminates with materials possessing high and low degrees of anisotropy at various fiber orientations are compared with those obtained from an approximate shear deformation theory. Mode shapes are also drawn for different wavelengths and their variation with fiber orientation is studied. Equations are developed for the wave propagation in an infinite medium consisting of a repeated pair of anisotropic layers by extending the “continuum” theory of Sun, Achenbach and Herrmann. Dispersion characteristics for 0–90° fiber orientations obtained by the “continuum” approach are also compared with those obtained by the exact method. The range of validity of each approximate theory is then assessed.

Keywords

Mode Shape Dispersion Curve Fiber Orientation Composite Laminate Shear Deformation Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    S. B. Dong, K. Pister and R. L. Taylor 1962 Journal of Aerospace Science 29, 969–975. On the theory of laminated anisotropic shells and plates.Google Scholar
  2. 2.
    Y. Stavsky 1961 Proceedings of the American Society of Civil Engineers, Journal of Engineering Mechanics Division 8, 31–56. Bending and stretching of laminated aelotropic plates.Google Scholar
  3. 3.
    P. C. Yang, C. H. Notaus and Y. Stavsky 1966 International Journal of Solids and Structures 2, 665–684. Elastic wave propagation in heterogeneous plates.Google Scholar
  4. 4.
    J. M. Whitney and A. W. Leissa 1969 Journal of Applied Mechanics, American Society of Mechanical Engineers 36, 261–266. Analysis of heterogeneous anisotropic plates.Google Scholar
  5. 5.
    J. M. Whitney and N. J. Pagano 1970 Journal of Applied Mechanics, American Society of Mechanical Engineers 37, 1031–1036. Shear deformation in heterogeneous anisotropic plates.Google Scholar
  6. 6.
    N. J. Pagano 1969 Journal of Composite Materials 3, 398–411. Exact solutions for composite laminates in cylindrical bending.Google Scholar
  7. 7.
    N. J. Pagano 1970 Journal of Composite Materials 4, 20–34. Exact solutions for rectangular bidirectional composites and sandwich plates.Google Scholar
  8. 8.
    N. J. Pagano 1970 Journal of Composite Materials 4, 330–343. Influence of shear coupling in cylindrical bending of anisotropic laminates.Google Scholar
  9. 9.
    S. Srinivas and A. K. Rao 1970 International Journal of Solids and Structures 6, 1463–1481. Bending, vibration and buckling of simply-supported thick orthotropic rectangular plates and laminates.Google Scholar
  10. 10.
    R. B. Pipes and N. J. Pagano 1970 Journal of Composite Materials 4, 538–548. Interlaminar stresses in composite laminates under uniform axial tension.Google Scholar
  11. 11.
    N. J. Pagano and R. B. Pipes 1971 Journal of Composite Materials 5, 50–57. The influence of stacking sequence on laminate strength.Google Scholar
  12. 12.
    K. Ptstei 1959 Journal of the Acoustical Society of America 31, 233–234. Flexural vibrations of thin laminated plates.Google Scholar
  13. 13.
    S. Srinivas, C. V. Joga Rao and A. K. Rao 1970 Journal of Sound and Vibration,12, 187–199. An exact analysis for vibration of simply-supported homogeneous and laminated thick rectangular plates.Google Scholar
  14. 14.
    A. T. Jones 1970 Journal of Composite Materials 4, 476–491. Exact natural frequencies for cross ply laminates.Google Scholar
  15. 15.
    A. T. Jones 1971 Journal of Composite Materials 5, 504–520. Exact natural frequencies and modal functions for a thick off-axis lamina.Google Scholar
  16. 16.
    C. T. Sun, J. D. Achenhach and G. Herrmann 1968 Journal of Applied Mechanics, American Society of Mechnical Engineers 35, 467–475. Continuum theory for a laminated medium.Google Scholar
  17. 17.
    R. D. Mindlin 1951 Journal of Applied Mechanics, American Society of Mechanical Engineers 18, 31–38. Influence of rotary inertia and shear on flexural motions of isotropic, elastic plates.Google Scholar
  18. 18.
    T. R. Kane and R. D. Mindlin 1955 Journal of Applied Mechanics, American Society of Mechnical Engineers 22, 277–283. High frequency extensional vibrations of plates.Google Scholar
  19. 19.
    R. D. Mindlin and M. A. Medick 1959 Journal of Applied Mechanics, American Society of Mechanical Engineers 26, 561–569. Extensional vibrations of elastic plates.Google Scholar
  20. 20.
    J. D. Achenbach, C. T. Sun and G. Herrmann 1968 Journal of Applied Mechanics, American Society of Mechanical Engineers 35, 689–696. On the vibrations of a laminated body.Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 1994

Authors and Affiliations

  • S. V. Kulkarni
    • 1
  • N. J. Pagano
    • 2
  1. 1.University of Dayton Research InstituteDaytonUSA
  2. 2.Nonmetallic Materials Division, Air Force Materials LaboratoryWright-Patterson Air Force BaseUSA

Personalised recommendations