Structural Engineering and Mechanics

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Influence of thickness variation of annular plates on the buckling problem

  • Ciancio, P.M. (Department of Civil Engineering, Universidad Nacional del Centro de la Provincia de Buenos Aires) ;
  • Reyes, J.A. (Department of Civil Engineering, Universidad Nacional del Centro de la Provincia de Buenos Aires)
  • Published : 2001.04.25
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Abstract

The aim of this work is to establish the coefficient that defines the critical buckling load for isotropic annular plates of variable thickness whose outer boundary is simply supported and subjected to uniform pressure. It is assumed that the plate thickness varies in a continuous way, according to an exponential law. The eigenvalues are determined using an optimized Rayleigh-Ritz method with polynomial coordinate functions which identically satisfy the boundary conditions at the outer edge. Good engineering agreement is shown to exist between the obtained results and buckling parameters presented in the technical literature.

Keywords

References

  1. Avalos, D.R., and Laura, P.A.A. (1979), "A note on transverse vibrations of annular plates elastically restrained against rotation along the edges", J. of Sound and Vib., 66(1), 63-67. https://doi.org/10.1016/0022-460X(79)90601-1
  2. Dyka, C.T., and Carney III, J.F. (1979), "Vibrations of annular plates of variable thickness", J. of the Mech. Eng. ASCE, 105(EM3), 361-370.
  3. Lame, G. (1852), "Lecons sur la theorie mathematique de l'elasticite des corpes solides", París.
  4. Laura, P.A.A., Paloto, J.C., and Santos, R.D. (1975), "A note on the vibration and stability of a circular plate elastically restrained against rotation", J. of Sound and Vib., 41, 177-180. https://doi.org/10.1016/S0022-460X(75)80095-2
  5. Laura, P.A.A., Ficcadenti, G.M., and Alvarez, S.I. (1988), "Effect of geometric boundary disturbances on the natural frequencies and buckling loads of vibrating clamped circular plates", J. of Sound and Vib., 126, 67-72. https://doi.org/10.1016/0022-460X(88)90398-7
  6. Laura, P.A.A., Ercoli, L., and Gutierrez, R. (1995), "Optimized Rayleigh-Ritz method", Monograph, Inst. of Appl. Mech., 34-95.
  7. Laura, P.A.A., Gutierrez, R.H., Sonzogni, V., and Idelsohn, S. (1996), "Buckling of circular, annular plates of non-uniform thickness", Inst. of Appl. Mech., 96(6).
  8. Loh, H.C., and Carney III, J.F. (1976)," Vibration and stability of spinning annular plates reinforced with edge beams", Developments in Theoretical and Applied Mechanics, Proc. of the 8th Southeastern Conf. on Theoretical and Appl. Mech., 8, 365-377.
  9. Ramaiah, G.K. (1975), "Some investigations on vibrations and buckling of polar orthotropic annular plates", Ph.D. Thesis, Indian Inst. of Science at Bangalore, India, May.
  10. Ramaiah, G.K., and Vijayakumar, K. (1975), "Vibration of annular plates with linear thickness profiles", J. of Sound and Vib., 40(2), 293-298. https://doi.org/10.1016/S0022-460X(75)80251-3
  11. Soni, S.R., and Amba-Rao, C.L. (1975), "Axisymmetric vibrations of annular plates of variable thickness", J. of Sound and Vib., 38(4), 465-473. https://doi.org/10.1016/S0022-460X(75)80134-9
  12. Stuart, R.J., and Carney III, J.F. (1974), "Vibration of edge reinforced annular plates", J. of Sound and Vib., 35(1), 23-33. https://doi.org/10.1016/0022-460X(74)90035-2
  13. Timoshenko, S. (1961), "Teoria de la establidad elastica", Editorial Ediar.

Cited by

  1. Buckling of circular, annular plates of continuously variable thickness used as internal bulkheads in submersibles vol.30, pp.11, 2003, https://doi.org/10.1016/S0029-8018(02)00136-1