Buckling of (2n+1) Layers Plywood Shell Under Two Way Compressions

Authors:

Anukul De , Doyal Debnath ,

DOI NO:

https://doi.org/10.26782/jmcms.2013.01.00001

Keywords:

an anisotropic layers,plywood shell, two way compressions,buckling diagram,

Abstract

The object of this paper is to obtain all the stress resultants of an anisotropic (2n+1) layers plywood shell. The deferential equations of equilibrium of (2n+1) layers plywood shell under three simultaneous loads are obtained. The solution of the deferential equations for anisotropic (2n+1) layers plywood shell in case of two way compressions is obtained here. The stable region for a plywood shell in this case is obtained. Buckling diagram for five layers plywood shell and seven layers plywood shell are shown graphically as special cases.

Refference:

I. Cheng, S. and Ho, B.P.C. (1963): ‘Some problems in stability of heterogeneous aeolotropic cylindrical shells under combined loading’ AIAA Journal, vol. 1, no. 7, pp. 1603-1607.

II. Cheng, S., and Kuenzi, E. W. (1963):‘Buckling of an Orthotropic or Plywood Cylindrical Shell under External Radial Pressure’, Proceedings of the 5th International Symposium on Space Technology and Science, Tokyo, pp 527.

III. De, A. (1983):‘Buckling of anisotropic ѕhеllѕ I ’, Application of Mathematics, vol. 28, no. 2, pp. 120-128.

IV. De, A. and Chaudhury, M. (2008):‘Buckling of double walled cylindrical shells with out shear load’, Bulletin of Calcutta Mathematical Society, vol. 100, no.5, and pp 515-528.

V. Flügge, W., (1973): Stresses in Shells, second edition, Springer-Verlag, New York.

VI. Hess, T. E. (1961):‘Stability of orthotropic cylindrical shells under combined loading’, ARS Journal, vol. 31, pp. 237-246.

VII. Lei, M. M. and Cheng, S. (1969):‘Buckling of composite and homogeneous isotropic cylindrical shells under axial and radial loading’, Journal of Applied Mechanics, vol. 8, pp..791-798.

VIII. Love, A. E. H. (1944): A Treatise on the Mathematical Theory of Elasticity, Dover publications, New York.

IX. Singer, J. and Fersh-Scher, R. (1964):‘Buckling of orthotropic conical shells under external pressure’, Aeronautical Quarterly, vol. XV, pp. 151-168.

X. Singer, J.(1962): ‘Buckling of orthotropic and stiffened conical shells’, Collесtеd papers on instability of shell ѕtruсturеѕ’. N. A. S. A. T. N. D-1510, pp. 463.

XI. Tasi, J. (1966):‘Effect of heterogeneity on the stability of composite cylindrical shells under axial compression’, AIAA Journal, vol. 4, pp. 1058-1062.

XII. Tasi, J., Feldman, A. and Stang, D. A. (1965):‘The buckling strength of filament-wound cylinders under axial compression’ CR-266, NASA.

XIII. Thieleman, W., Schnell, W. and Fischer, G. (1960):‘Buckling and post-buckling behaviour of orthotropic circular cylindrical shells subject to combined axial and internal pressure’, Zeitschrift Flugwiss, vol. 8, pp 284.

XIV. Timoshenko, S. and Woinowsky Krieger, S. (1983):‘Theory of plates and shells’ 4th Edition, McGraw-Hill International Book Company, New York.

Anukul De , Doyal Debnath View Download