Computational p-element method on the effects of thickness and length on self-weight buckling of thin cylindrical shells via various shell theories

Computational Mechanics

Volumn 31, Issue 5, 2003, Pages 400-408

  Lim, C W ^a   Ma, Y F ^a  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Buckling; Cylindrical shell; Eigenvalue; Self weight; Thin shell

Indexed keywords

ACCELERATION; BUCKLING; COMPUTATIONAL METHODS; EIGENVALUES AND EIGENFUNCTIONS; MISSILES; PROBLEM SOLVING; ROCKETS;

CYLINDRICAL SHELLS;

SHELLS (STRUCTURES);

EID: 0141609929     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-003-0442-3     Document Type: Article

References (41)

1. Ang KK, Wang CM (1990) Shear-flexural buckling of columns. ASCE J. Eng. Mech. 116(6): 1220-1241
2. Bulson PS (1970) The Stability of Flat Plates. Chatto and Windus, London, UK
3. Calladine CR, Barber JN (1970) Simple experiments on self-weight buckling of open cylindrical shells. ASME J. Appl. Mech. 37(4): 1150-1151
4. Column Research Committee of Japan (1971) Handbook of Structural Stability. Corona, Tokyo, Japan
5. Euler L (1744) Methodus inveniendi lineas curves maximi minimive proprietate gaudentes. Lausanne and Geneva
6. He LH, Lim CW (2000) A non-discretized global method for free vibration of generally laminated fibre-reinforced pretwisted cantilever plates. Comput. Mech. 26(2): 197-207
7. Johns DJ (1966) On the linear buckling of circular cylindrical shells under asymmetric axial compressive stress distributions. J. Royal Aerona. Soc. 70(672): 1095-1097
8. Johns DJ (1973) Self-weight buckling of vertical circular cylindrical shells. AIAA J. 11(3): 392-393
9. Kassegne SK, Reddy JN (1998) Local behavior of discretely stiffened composite plates and cylindrical shells. Composite Struct. 41(1): 13-26
10. Khdeir AA, Reddy JN (1989) A study of bending, vibration and buckling of cross-ply circular cylindrical shells with various shell theories. Int. J. Eng. Sci. 27(11): 1337-1351
11. Leissa AW (1973) Vibration of Shells. NASA SP-288
12. Leissa AW, Ewing MS (1983) Comparison of beam and shell theories for the vibrations of thin turbomachinery blades. ASME J. Eng. Power. 105(2): 383-392
13. Leissa AW (2001) Singularity considerations in membrane, plate and shell behaviours. Int. J. Solids Struct. 38(19): 3341-3353
14. Liew KM, Wang CM (1992) Elastic buckling of rectangular plates with curved internal supports. ASCE J. Struct. Eng. 118:1480-1493
15. Liew KM, Wang CM (1993) Elastic buckling of radially loaded circular plates on nonaxisymmetric internal supports. Mech. Struct. Mach. 21(4): 545-555
16. Liew KM, Xiang Y, Kitipornchai S, Wang CM (1994) Buckling and vibration of annular Mindlin plates with internal concentric ring supports subject to in-plane radial pressure. J. Sound Vibrat. 177(5): 689-707
17. Liew KM, Xiang Y, Kitipornchai S (1996a) Navier's solution for laminated plate buckling with prebuckling in-plane deformation. Int. J. Solids. Struc. 33(13): 1921-1937
18. Liew KM, Xiang Y, Kitipornchai S (1996b) Analytical buckling solutions for Mindlin plates involving free edges. Int. J. Mech. Sci. 38(10): 1127-1138
19. Lim CW (1999a) Effects of subtended and vertex angles on free vibration of open conical shell panels: A conical coordinate approach. J. Sound Vib. 219(5): 813-835
20. Lim CW (1999b) Three dimensional vibration analysis of a cantilevered parallelepiped: Exact and approximate solutions. J. Acous. Soc. Ame. 106(6): 3375-3383
21. Lorenz R (1908) Achsensymmetrische Verzerrungen in dünnwandigen Hohlzylindern. Zeitschrift des Vereines Deutscher Ingenieure (in German) 52(43): 1706-1713
22. Mandal P, Calladine CR (2000) Buckling of thin cylindrical shells under axial compression. Int. J. Solids Struct. 37: 4509-4525
23. Ohta Y, Narita Y (1993) Buckling analysis of angle-ply laminated cylindrical shells subjected to axial compressive load. in PVP-Vol. 264, Piping, Supports, and Structural Dynamics, ASME, pp. 99-104
24. Ohta Y, Narita Y (1994) Elastic buckling analysis of angle-ply laminated circular cylindrical shells subjected to axial compressive load. Trans. Japan Soc. Mech. Eng. 60(569): 229-235
25. Reddy JN (1993) An Introduction to the Finite Element Method. 2nd edn, New York: McGraw Hill
26. Reddy JN, Starnes JH (1993) General buckling of stiffened circular cylindrical-shells according to a layerwise theory. Comput Struct. 49(4): 605-616
27. Sobel LH (1964) Effects of boundary conditions on the stability of cylinders subject to lateral and axial pressures. AIAA J. 2: 1437-1440
28. Tan D (2000) Analysis of self-weight induced collapse of long-deep beams. Comput. Struct. 78(4): 649-659
29. Teng JG (1996) Buckling of thin shells: Recent advances and trends. ASME Appl. Mech. Rev. 49(4): 263-274
30. Teng JG, Yao J (2000) Self-weight buckling of FRP tubes filled with wet concrete. Thin-walled Struct. 38(4): 337-353
31. Tian J, Wang CM, Swaddiwudhipong S (1999) Elastic buckling analysis of ring-stiffened cylindrical shells under general pressure loadings via Ritz method. Thin-Walled Struct. 35: 1-24
32. Timoshenko S (1910) Einige stabilitätsprobleme der elastizitätstheorie, Zeitschrift für angew. Math. und Phys. (in German). (ZAMP) 58(4): 337-385
33. Timoshenko SP, Gere JM (1961) Theory of Elastic Stability. McGraw-Hill. New York
34. Timoshenko SP, Woinowsky-Krieger S (1959) Theory of Plates and Shells. McGraw-Hill, New York
35. Wang CM, Ang KK (1988) Buckling capacities of braced heavy columns under an axial load. Comput. Struct. 28(5): 563-571
36. Wang CM, Kitipornchai S, Liew KM (1993) Research on elastic buckling of columns, beams and plates: Focussing on formulas and design charts. J. Construct. Steel Res. 26(2-3): 211-230
37. Wang CM, Liew KM (1991) On buckling of column with overhang. ASCE J. Eng. Mech. 117(11): 2492-2502
38. Wang CM, Liew KM, Alwis WAM (1992) Buckling of skew plates and corner condition for simply supported edges. ASCE J. Eng. Mech. 118(4): 651-662
39. Wang CM, Tian J, Swaddiwudhipong S (1994) Buckling of cylindrical shells with internal ring supports. Struct. Eng. Mech. 2(4): 369-381
40. Weingarten VI (1962) The buckling of cylindrical shells under longitudinally varying Loads. ASME J. Appl. Mech. 29: 81-85
41. Zienkiewicz OC, Taylor RL (2000) The Finite Element Method. 5th edn, Oxford: Butterworth-Heinemann