Advertisement

Ingenieur-Archiv

, Volume 45, Issue 2, pp 131–139 | Cite as

Postbuckling of angle-ply and anisotropic plates

  • M. K. Prabhakara
  • C. Y. Chia
Article

Summary

An analysis based on the von Kármán-type large-deflection equations of plates is presented for the postbuckling behavior of homogeneous and symmetrically laminated anisotropic rectangular plates. Boundary conditions for both simply supported and clamped edges are considered. A solution is obtained by expressing the force function and transverse deflection as double series involving the appropriate beam eigen-functions. Numerical results are presented for graphite-epoxy angle-ply laminates and homogeneous anisotropic plates. In the cases of buckling of anisotropic plates and postbuckling of isotropic and orthotropic plates, the present solution is in good agreement with existing solutions.

Keywords

Boundary Condition Neural Network Complex System Information Theory Nonlinear Dynamics 
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.

Übersicht

Es wird das Nachbeulverhalten von homogenen, symmetrisch geschichteten, anisotropen Rechteckplatten auf der Grundlage der von Kármán angegebenen Platten-Gleichungen für große Auslenkungen untersucht. Dabei werden sowohl einfach aufliegende, wie auch eingespannte Ränder als Randbedingungen berücksichtigt. Lösungen werden dadurch gewonnen, daß die Belastungsfunktion und die Querauslenkung als doppelte Reihen von geeigneten Balken-Eigenfunktionen angesetzt werden. Für Graphit-Epoxid-Schichtplatten und anisotrope homogene Platten werden numerische Ergebnisse mitgeteilt. Die erhaltenen Lösungen stimmen in den Fällen des Beulens von anisotropen Platten sowie des Nachbeulens von isotropen und orthotropen Platten gut mit bekannten Lösungen überein.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Green, A. E.; Hearmon, R. F. S.: The Buckling of Flat Rectangulat Plywood Plates. Phil. Magazine, Series 7, Vol. 36 (1945) pp. 659–688Google Scholar
  2. 2.
    Ashton, J.E.; Waddoups, M. E.: Analysis of Anisotropie Plates. J. Comp. Materials Vol. 3 (1969) pp. 148–165.Google Scholar
  3. 3.
    Chamis, C. C.: Buckling of Anisotropic Composite Plates. J. Struct. Div., Proc. ASCE, Vol. 95 STIO (1969) pp. 2119–2139Google Scholar
  4. 4.
    Fraser, H. R. Jr.; Miller, R. E.: Bifurcation Type Buckling of Generally Orthotropic Clamped Plates. A1AA J. 8 (1970) pp. 707–712Google Scholar
  5. 5.
    Whitney, J. M.: Fourier Analysis of Clamped Anisotropic Plates. J. Appl. Mech. 38 (1971) pp. 530–532Google Scholar
  6. 6.
    Padovan, J.; Lestingi, J.: Static Solution of Monoclinic Circular Plates. A1AA J. 9 (1971) pp. 2473–2474Google Scholar
  7. 7.
    Sun, C. T.: Double Fourier Series Solution to General Anisotropic Plates. J. Math. Phys. Sci. 6 (1972) pp. 205–223Google Scholar
  8. 8.
    Whitney, J. M.: Analysis of Anisotropie Rectangular Plates. A1AA J. 10 (1972) pp. 1344–1345Google Scholar
  9. 9.
    Chia, C. Y.: Finite Deflections of Uniformly Loaded, Clamped Rectangular Anisotropic Plates. A1AA J. 10 (1972) pp. 1399–1400Google Scholar
  10. 10.
    Turvey, G. J.; Wittrick, W. H.: The Large Deflection and Post-Buckling Behaviour of Some Laminated Plates. Aeronaut. Quarterly 24 (1973) pp. 77–86Google Scholar
  11. 11.
    Zaghloul, S. A.; Kennedy, J. B.: Nonlinear Behavior of Symmetrically Laminated Plates. J. Appl. Mech. 42 (1975) pp. 234–236Google Scholar
  12. 12.
    Stavsky, Y.: On the General Theory of Heterogeneous Acolotropic Plates. Aeronaut. Quarterly 15 (1964) pp. 29–38Google Scholar
  13. 13.
    Chia, C. Y.; Prabhakara, M. K.: Nonlinear Analysis of Orthotropic Plates. J. Mech. Engng. Sci. 17 (1975) pp. 133–138Google Scholar
  14. 14.
    Yamaki, N.: Postbuckling Behavior of Rectangular Plates with Small Initial Curvature Loaded in Edge Compression. J. Appl. Mech. 26 (1959) pp. 407–417Google Scholar

Copyright information

© Springer-Verlag 1976

Authors and Affiliations

  • M. K. Prabhakara
    • 1
  • C. Y. Chia
    • 1
  1. 1.Department of Civil EngineeringThe University of CalgaryCalgaryCanada

Personalised recommendations