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Research Article

Critical Temperature of Short Cylindrical Shells Based on Imnproved Stability Equation

A. Ghorbanpour
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The nonlinear strain-displacement relations in general cylindrical coordinates are simplified by Sander's assumptions for the cylindrical shells and substituted into the total potential energy function for thermoelastic loading. The Euler equations are then applied to the functional of energy, and the general thermoelastic equations of nonlinear shell theory are obtained and compared with the Donnel equations. An improvement is observed in the resulting equations as no length limitations are imposed on a thin cylindrical shell. The stability equations are then derived through the second variation of potential energy, and the same improvements are extended to the resulting thermoelastic stability equations. Based on the improved equilibrium and stability equations, the magnitude of thermoelastic buckling of thin cylindrical shells under different thermal loading is obtained. The result are extended to short and long thin cylindrical shalls.

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  How to cite this article:

A. Ghorbanpour , 2002. Critical Temperature of Short Cylindrical Shells Based on Imnproved Stability Equation. Journal of Applied Sciences, 2: 448-452.

DOI: 10.3923/jas.2002.448.452


1:  Brush, D.O. and B.O. Almroth, 1975. Buckling of Beams, Plates and Shells. McGraw-Hill Book Co. Inc., New York.

2:  Bushnell, D., 1971. Analysis of ring-stiffened shells of revolution under combined thermal and mechanical loadings. AIAA J., 9: 401-410.
CrossRef  |  

3:  Chang, L.K. and M.F. Cord, 1970. Thermal buckling of stiffened cylindrical shell. Proceedings of the AIAA/ASME 11th Structures, Structural Dynamics and Material Conference, (AIAASSDMC`70), New York, pp: 260-272.

4:  Donnel, L.H., 1950. Effect if imperfection on buckling of thick cylinders and columns under axial compression. ASME J. Appl. Mech., 17: 73-83.

5:  Donnel, L.H., 1956. Effect of imperfection on buckling of thin cylinders with fixed edges under external pressure. Trans. ASME J. Appl. Mech., 28: 305-314.

6:  Donnel, L.H., 1976. Beams, Plates and Shells. McGraw-Hill, New York.

7:  Flugge, W., 1973. Stress in Shells. Springer Verlag, Berlin, Heidelberg.

8:  Johns, D.J., 1962. Local circumferential bucking of thin circular cylindrical shells. Collected Papers on Instability of Shell Structures, IN-D-1510, NASA, pp: 267-272.

9:  Sanders, J.L., 1963. Nonlinear theories for thin shells. Q. Applied Mech., 21: 21-36.

10:  Koiter, W.T., 1977. Theoretical and Applied Mechanics. Pergamon Press, North-Holland, New York.

11:  Koiter, W.T., 1980. The Intrinsic Equations of Shell Theory with some Applications. Pergamom Press, Oxford.

12:  Luksaiewicz, S., 1980. Thermal Stress in Shells. In: Thermal Stresses, Hentarski, R.B. (Ed.). Vol. 13, Pergamon Press, North-Holland, Amesterdam.

13:  Morley, L.S.D., 1959. An improvement on donnel approximation for thin walled circular cylinders. J. Mech. Applied. Math., 12: 89-99.
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