On Buckling of Cylindrical Shells Under Combined Loading

M. Gheisari, A. Nezamabadi, P. Khazaeinejad

Abstract


This paper presented an analytical investigation of the buckling behavior of cylindrical shells under a combined action of thermal and mechanical loadings based on the general form of Green’s strain tensor in curvilinear coordinates. While the shell was subjected to lateral pressure, it was assumed to be under either a uniform temperature increase or a uniform temperature gradient. A dimensionless load interaction parameter was considered to express the ratio of thermal and mechanical loads. The system of governing equations was derived using the harmonic series and was optimized with respect to harmonic numbers to find the critical buckling loads of the cylindrical shells. Results were calculated for both the Donnell and Green-types of kinematic nonlinearity. Comparison studies showed that both types of kinematic nonlinearity predicted the same critical buckling loads for thin cylindrical shells whereas for moderately thick cylindrical shells, the latter type of kinematic nonlinearity predicted higher critical buckling loads than the former type of kinematic nonlinearity.

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References


Donnell, L. H., Stability of Thin-Walled Tubes Under Torsion, NACA Tr-479, 1934.

Donnell, L. H., “A New Theory for the Buckling of the Thin Cylinders Under Axial Compression and Bending,” ASME Journal of Applied Mechanics, Vol. 56, 1934, pp. 795-806.

Flügge, W., Stresses in Shells, Springer-Verlag, Berlin, 1960.

Timoshenko, S. P. and Gere, J. M., Theory of Elastic Stability, McGraw-Hill, New York, 1961.

Brush, D. O., and Almorth, B. O., Buckling of Bars, Plates, and Shells, McGraw-Hill, New York, 1975.

Librescu, L., Elastostatics and Kinematics of Anisotropic and Hetrogeneous Shell-Type Structures, Nordhoff International, Leyden, Netherlands, 1975.

Reddy, J. N., and Liu, C. F., “A higher-order Shear Deformation Theory of Laminated Elastic Shells,” International Journal of Engineering Science, Vol. 23, No. 3, 1985, pp. 319-330.

Vodenitcharova, T., and Ansourian, P., “Buckling of Circular Cylindrical Shells Subjected to Uniform Lateral Pressure,” Engineering Structures, Vol. 18, 1996, pp. 604-614.

Eslami, M. R., “Thermal Buckling of Imperfect Cylindrical Shells,” Journal of Thermal Stresses, Vol. 24, 2001, pp. 71-89.

Khazaeinejad, P., and Najafizadeh, M. M., “Mechanical Buckling of Cylindrical Shells with Varying Material Properties,” Proceedings of the Institution of Mechanical Engineers, Part C, Journal of Mechanical Engineering Science, Vol. 224, No. 8, 2010, pp. 1551-1557.

Kardomateas, G. A., and Philobos, M. S., “Buckling of Thick Orthotropic Cylindrical Shells Under Combined External Pressure and Axial Compression,” AIAA Journal, Vol. 33, No. 10, 1995, pp. 1946-1953.

Amabili, M., “Nonlinear Vibrations and Stability of Shells and Plates,” Cambridge University Press, New York, 2008.

Khazaeinejad, P., Najafizadeh, M. M., Jenabi, J., and Isvandzibaei M. R., “On the Buckling of Functionally Graded Cylindrical Shells Under Combined External Pressure and Axial Compression,” Journal of Pressure Vessel and Technology, Vol. 132, No. 6, 2010, Paper No. 064501.

Reddy, J. N., Mechanics of Laminated Composite Plates and Shells: Theory and analysis, Second Edition, CRC Press, Boca Raton, FL, 2004.

Eslami, M. R., Ziaii, A. R., and Ghorbanpour A., “Thermoelastic Buckling of Thin Cylindrical Shells Based on Improved Stability Equations,” Journal of Thermal Stresses, Vol. 19, 1996, pp. 299-315.

Shen, H. -Sh., Yang, J., and Kitipornchai, S., “Postbuckling of Internal Pressure Loaded FGM Cylindrical Shells Surrounded by an Elastic Medium,” European Journal of Mechanics A/Solids, Vol. 29, 2010, pp. 448-460.

Dornheim, M. A., Planetary Flight Surge Faces Budget Realities, Aviation Week and Space Technology, Vol. 145, No. 24, 9 Dec. 1996, pp. 44–46.

Terster, W., NASA Considers Switch to Delta 2, Space News, Vol. 8, No. 2, 13-19 Jan. 1997, pp., 1-18.




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