On nonlinear bending and instability of imperfect cylindrical tubes

International Journal of Pressure Vessels and Piping

Volumn 76, Issue 1, 1999, Pages 43-47

  Zhang, W G ^a   Li, D X ^b  

^a DALIAN JIAOTONG UNIVERSITY   (China)

^b Dalian New Shipyard   (China)

Author keywords

Imperfect cylindrical tubes; Nonlinear bending; Perturbation method

Indexed keywords

BENDING (DEFORMATION); DIFFERENTIAL EQUATIONS; LAGRANGE MULTIPLIERS; NONLINEAR EQUATIONS; PERTURBATION TECHNIQUES;

TIMOSHENKO INITIAL NONCIRCULARITY FUNCTION;

TUBES (COMPONENTS);

BENDING;

EID: 0345643492     PISSN: 03080161     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0308-0161(98)00098-2     Document Type: Article

References (11)

1. Ellinas CP, Supple WJ, Walker AC. Buckling of offshore structures, 1st ed. London: Granada, 1984. pp. 74-83.
2. Thompson G, Spence J. The influence of end constraints on smooth pipe bends. In: 6th Int. Conf. Struct. Mech. Reactor Technol., Paris, F2/7, 1981.
3. Brazier L.G. On the flexure of thin cylindrical shells and other thin sections. Proc. Roy. Soc. A116:1926;104-114.
4. Reissner E. On finite bending of pressurized tubes. J. Appl. Mech. 26:1959;386-392.
5. Reissner E. On finite pure bending of cylindrical tubes. Osterr. Ing. Arch. 15:1961;165-172.
6. Reissner E., Weinitschkke H.J. Finite pure bending of circular cylindrical tubes. Quart. Appl. Math. 20:1963;305-319.
7. Thurston G.A. Critical bending moment of circular cylindrical tubes. J. Appl. Mech. Trans. ASME. E44:1977;173-175.
8. Na TY. Solution of the nonlinear differential equations for finite bending of a thin-walled tube by parameter differentiation. Aero Quart. 1974;Feb.:14-18.
9. Spence J., Toh S.L. Collapse of thin orthotropic elliptical cylindrical shells under combined bending and pressure loads. J. Appl. Mech. Trans. ASME. 46:1979;363-371.
10. Fabian O. Collpase of cylindrical elastic tubes under combined bending pressure and axial loads. Int. J. Solids Struct. 13:1977;1257-1270.
11. Timoshenko SP, Gere JM. Theory of elastic stability. New York: McGraw Hill, 1961.