Postbuckling analysis of imperfect stiffened laminated cylindrical shells under combined external pressure and thermal loading

Abstract A postbuckling analysis is presented for a stiffened laminated cylindrical shell of finite length subjected to combined loading of external pressure and a uniform temperature rise. The formulation is based on a boundary layer theory of shell buckling which includes the effects of nonlinear prebuckling deformations, nonlinear large deflections in the postbuckling range and initial geometrical imperfections of the shell. The “smeared stiffener” approach is adopted for the stiffeners. The analysis uses a singular perturbation technique to determine the interactive buckling loads and the postbuckling equilibrium paths. Numerical examples are presented that relate to the performance of perfect and imperfect, stiffened and unstiffened cross-ply laminated cylindrical shells. Typical results are presented in dimensionless graphical form for different parameters and loading conditions.

[1]  J. F. Jullien,et al.  Buckling of shell structures, on land, in the sea, and in the air , 1991 .

[2]  M. Baruch,et al.  Effect of Eccentricity of Stiffeners on the General Instability of Stiffened Cylindrical Shells under Hydrostatic Pressure , 1963 .

[3]  Hui-Shen Shen Thermal postbuckling analysis of imperfect stiffened laminated cylindrical shells , 1997 .

[4]  L. Kollár Buckling of Anisotropic Cylinders , 1994 .

[5]  Shen Hui-shen,et al.  A boundary layer theory for the buckling of thin cylindrical shells under external pressure , 1988 .

[6]  George J. Simitses,et al.  Nonlinear analysis of axially-loaded laminated cylindrical shells , 1983 .

[7]  S. Smith,et al.  Stress and buckling of nonuniformly heated cylindrical and conical shells. , 1971 .

[8]  Wei-chʿang Chʿien,et al.  The Advances of Applied Mathematics and Mechanics in China , 1988 .

[9]  Y. Stavsky,et al.  Thermoelasticity of Heterogeneous Aeolotropic Plates , 1963 .

[10]  Zhou Pin,et al.  Buckling and postbuckling of stiffened cylindrical shells under axial compression , 1991 .

[11]  Zafer Gürdal,et al.  Buckling of imperfect, anisotropic, ring-stiffened cylinders under combined loads , 1992 .

[12]  Hui‐Shen Shen,et al.  Buckling and postbuckling behaviour of cylindrical shells under combined external pressure and axial compression , 1991 .

[13]  Hui-Shen Shen,et al.  Postbuckling analysis of stiffened cylindrical shells under combined external pressure and axial compression , 1993 .

[14]  Robert M. Jones,et al.  Buckling of circular cylindrical shells with multiple orthotropic layers and eccentric stiffeners. , 1968 .

[15]  Victor Birman,et al.  Buckling and Post-buckling of Composite Plates and Shells Subjected to Elevated Temperature , 1993 .