Abstract
Attempts have been made to find out the displacement components of a general Cylindrical shell under bending. Usual displacement equations involving axial, circumferential and normal displacements have been modified to form an eighth order Donnell type partial differential equation in normal displacement whereas the differential equations for axial and circumferential displacements are of fourth order each involving normal displacement only. Proposed solution assumes Levy type series solutions for the displacements. Numerical solutions are obtained for a shell whose radius of curvature varies exponentialy.References
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of Brooklyn, Brooklyn N.Y. 1958.
2. W.P.VAFAKOS, Stress and Displacement Analysis of a Clamped Oval Cylindrical Shell under Hydrostatic Pressure, Ph. D. Dissertation in App. Mech., Polytechnic Institute of
Brooklyn, June 1960.
3. B. CHORNY, Solution for the Displacement and Stresses in a Simply Supported Oval, Cylindrical Shell under a Uniform Load, M.S. Thesis in App. Mech., Polytechnic Institute of Brooklyn June 1961.
4. N. NISSEL Stress and Displacement Analysis of a simply Supported Oval Cylindrical Shell under lateral Loading M.S., Thesis in App. Mech., Polytechnic Institute of Brooklyn, June 1962.
5. W.P. VAFAKOS, F. ROMANO, J. KEMPNER Clamped Short Oval Cylindrical Shells under Hydrostatic Pressure. J. Aero. Sciences, 11, 29 (1962).
6. E. WIEDEMANN, Ingr.-Arch., 8, 1937, 301.
7. R.A. CLARK, T.I. GILROY, E. REISSNER J. Appl. Mech., 19 (1952), 37.
8. J. KEMPNER Relation for stress, Buckling and Postbuckling Analysis of Orthotropic Shells under Applied Loads and Elevated Temmperatures, Part I of „Investigation of Plates and Shells under External Loading and elevated Temperatures" PIBL Report No 481, Technical Summary presented at AFOSR Mechanics Branch Centractor Meeting Kansas City, Missouri, October 23-24, 1958.
9. J. KEMPNER, Unified Thin-Shell Theory, PIBL Report No 566, Polytechnic Institute of Brooklyn, 1960 Brooklyn.
10. W. FLUGGE, Stresses in Shells, Springer-Verlag, 1962.
