Elastic Buckling Analysis of Ring and Stringer-stiffened Cylindrical Shells under General Pressure and Axial Compression via the Ritz Method
محورهای موضوعی : EngineeringA Ghorbanpour Arani 1 , A Loghman 2 , A.A Mosallaie Barzoki 3 , R Kolahchi 4
1 - Department of Mechanical Engineering, Faculty of Engineering, University of Kashan
2 - Department of Mechanical Engineering, Faculty of Engineering, University of Kashan
3 - Department of Mechanical Engineering, Faculty of Engineering, University of Kashan
4 - Department of Mechanical Engineering, Faculty of Engineering, University of Kashan
کلید واژه: Buckling analysis, Stiffened cylindrical shells, Ritz method,
چکیده مقاله :
Elastic stability of ring and stringer-stiffened cylindrical shells under axial, internal and external pressures is studied using Ritz method. The stiffeners are rings, stringers and their different arrangements at the inner and outer surfaces of the shell. Critical buckling loads are obtained using Ritz method. It has been found that the cylindrical shells with outside rings are more stable than those with inside rings under axial compressive loading. The critical buckling load for inside rings is reducing by increasing the eccentricity of the rings, while for outside ring stiffeners the magnitude of eccentricity does not affect the critical buckling load. It has also been found that the shells with inside stringers are more stable than those with outside one. Moreover, the stability of cylindrical shells under internal and external pressures is almost the same for inside and outside arrangements of stringers. The results are verified by comparing with the results of Singer at the same loading and boundary conditions.
[1] Singer J., Baruch M., 1963, Effect of eccentricity of stiffeners on the general instability of stiffened cylindrical shells under hydrostatic pressure, International Journal of Mechanical Sciences 5: 23-27.
[2] Ghorbanpour A., Golabi S., Loghman A., Daneshi H., 2007, Investigating elastic stability of cylindrical shell with an elastic core under axial compression by energy method, Journal of Mechanical Science and Technology 21(7):983-996.
[3] Ojalvo I.U., Newman M., 1967, Natural vibrations of a stiffened pressurized cylinder with an attached mass, AIAA. Journal 5: 1139-1146.
[4] Eslami M.R., Ziaii A.R., Ghorbanpour A., 1996, Thermoelastic buckling of thin cylindrical shell based on improved stability equations, Journal of Thermal Stresses 19: 299-315.
[5] Singer J., Baruch M., Harari O., 1967, The stability of eccentrically stiffened cylindrical shells under axial compression, International Journal of Solids and Structures 3: 445-470.
[6] Hubner A., Albiez M., Kohler D., Saal H., 2007, Buckling of long steel cylindrical shells subjected to external pressure, Thin-Walled Structures 45: 1-7.
[7] Buermann P., Rolfes R., Tessmer J., Schagerlet M., 2006, A semi- analytical model for local post-buckling analysis of stringer- and frame-stiffened cylindrical panels, Thin-Walled Structures 44: 102-114.
[8] Ding H., 2003, Strength and stability of double cylindrical shell structure subjected to hydrostatic external pressure—II: stability, Marine Structures 16: 397-415.
[9] Andrianova V.M., Verbonolb J., Awrejcewiczc I.V., 2006, Buckling analysis of discretely stringer-stiffened cylindrical shells, International Journal of Mechanical Sciences 48: 1505-1515.
[10] Timoshenko S.P., Gere J.M., 1985, Theory of Elastic Stability, Mc-Graw Hill, NewYork.
[11] Galletly G.D, 1955, On the in-vacuo vibrations of simply supported ring-stiffened cylindrical shells, ASME Proceedings of 2nd U.S. National Congress of Applied Mechanics:225-231.
[12] Wang Y.G., Zeng G.W., 1983, Calculation of critical pressure of ring stiffened cylindrical shells through function minimization, China Ship Building 4: 29-38.
[13] Bushnell D., 1985, Computerized Buckling Analysis of Shells, Martinus Nijhoff Publishers, Lancaster.
