Postbuckling of shear deformable stiffened anisotropic laminated cylindrical shell under axial compression

Abstract A postbuckling analysis is presented for a shear deformable anisotropic laminated cylindrical shell with stiffener of finite length subjected to axial compression. The material of each layer of the shell is assumed to be linearly elastic, anisotropic and fiber-reinforced. The governing equations are based on a higher order shear deformation shell theory with von Karman-Donnell-type of kinematic nonlinearity and including the extension/twist, extension/flexural and flexural/twist couplings. The ‘smeared stiffener’ approach is adopted for the beam stiffeners. This arrangement allows the beam stiffeners to be assembled directly into the global stiffness matrix. The nonlinear prebuckling deformations and initial geometric imperfections of the shell are both taken into account. A singular perturbation technique is employed to determine the buckling loads and postbuckling equilibrium paths. The numerical illustrations concern the postbuckling response of perfect and imperfect, grid, axial, ring stiffened, and unstiffened shells. The results confirm that there exists a compressive stress along with an associate shear stress and twisting when the anisotropic shell is subjected to axial compression. The postbuckling equilibrium path is unstable for the moderately thick cylindrical shell under axial compression and the stiffened shell structure is imperfection-sensitive.

[1]  J. N. Reddy,et al.  A higher-order shear deformation theory of laminated elastic shells , 1985 .

[2]  J. Reddy,et al.  BUCKLING AND POSTBUCKLING ANALYSIS OF LAMINATED CYLINDRICAL SHELLS USING THE THIRD-ORDER SHEAR DEFORMATION THEORY , 2004 .

[3]  N. E. Shanmugam,et al.  Analysis and Design of Plated Structures , 2007 .

[4]  C. Chia,et al.  Effect of transverse shear on nonlinear vibration and postbuckling of anti-symmetric cross-ply imperfect cylindrical shells , 1988 .

[5]  J. N. Reddy,et al.  Layer-wise shell theory for postbuckling of laminated circular cylindrical shells , 1992 .

[6]  Paul M. Weaver,et al.  Anisotropic effects in the compression buckling of laminated composite cylindrical shells , 2002 .

[7]  R. Kapania,et al.  Finite Element Analysis of Geodesically Stiffened Cylindrical Composite Shells Using a Layerwise Theory , 1996 .

[8]  Damodar R. Ambur,et al.  Formulation of an improved smeared stiffener theory for buckling analysis of grid-stiffened composite panels , 1996 .

[9]  Hui‐Shen Shen,et al.  Buckling and Postbuckling Analysis of Shear Deformable Anisotropic Laminated Cylindrical Shells Under Torsion , 2009 .

[10]  C. Dym,et al.  Perturbation Solutions for the Buckling Problems of Axially Compressed Thin Cylindrical Shells of Infinite or Finite Length , 1968 .

[11]  Zhimin Li.  Postbuckling of a shear-deformable anisotropic laminated cylindrical shell under external pressure in thermal environments , 2007 .

[12]  Damodar R. Ambur,et al.  Optimal Design of Grid-Stiffened Composite Panels , 1998 .

[13]  S B Batdorf,et al.  A simplified method of elastic-stability analysis for thin cylindrical shells , 1947 .

[14]  W. J. Stroud,et al.  Buckling loads of stiffened panels subjected to combined longitudinal compression and shear: Results obtained with PASCO, EAL, and STAGS computer programs , 1984 .

[15]  Hui-Shen Shen,et al.  Boundary layer theory for the buckling and postbuckling of an anisotropic laminated cylindrical shell, Part II: Prediction under external pressure , 2008 .

[16]  Damodar R. Ambur,et al.  Optimal Design of Grid-Stiffened Composite Panels Using Global and Local Buckling Analysis , 1996 .

[17]  Zafer Gürdal,et al.  Optimal design of geodesically stiffened composite cylindrical shells , 1992 .

[18]  Hui‐Shen Shen,et al.  POSTBUCKLING OF SHEAR-DEFORMABLE ANISOTROPIC LAMINATED CYLINDRICAL SHELLS UNDER AXIAL COMPRESSION , 2008 .

[19]  Hui-Shen Shen.  Postbuckling of laminated cylindrical shells with piezoelectric actuators under combined external pressure and heating , 2002 .

[20]  H-S. Shen.  7 – Thermal buckling and postbuckling of laminated plates , 2006 .

[21]  Haim Abramovich,et al.  Vibration Techniques for Definition of Practical Boundary Conditions in Stiffened Shells , 1979 .