Statistical Knockdown Factors of Buckling Anisotropic Cylinders Under Axial Compression

Statistical knockdown factors for the axial buckling of anisotropic cylinders were derived for practical design purposes. The solution with the least amount of simplification in the linear bifurcation theory was chosen from the previously published solutions, and it was compared with more than 100 experimental results from the open literature. A-basis values (99% probability with 95% confidence level) and B-basis values (90% probability with 95% confidence level) of knockdown factors were obtained by using inferential statistics, i.e., inference concerning unknown aspects of a population by using a small sample.

[1]  Gajbir Singh,et al.  Some simple solutions for buckling loads of thin and moderately thick cylindrical shells and panels made of laminated composite material , 1997 .

[2]  Atsushi Takano,et al.  Improvement of Flügge's Equations for Buckling of Moderately Thick Anisotropic Cylindrical Shells , 2008 .

[3]  W. Flügge Stresses in Shells , 1960 .

[4]  Charles W. Bert,et al.  Buckling of Orthotropic Sandwich Cylinders Under Axial Compression and Bending , 1974 .

[5]  Johann Arbocz,et al.  Buckling Experiments: Experimental Methods in Buckling of Thin-Walled Structures. Shells, Built-up Structures, Composites and Additional Topics, Volume 2 , 2000 .

[6]  M. Farshad,et al.  Buckling loads of CFRP composite cylinders under combined axial and torsion loading: experiments and computations , 2001 .

[7]  G. Sun Optimization of laminated cylinders for buckling , 1987 .

[8]  B. Ho,et al.  Stability of Heterogeneous Aeolotropic Cylindrical Shells Under Combined Loading , 1963 .

[9]  K. W. Wong,et al.  Approximate Solution for the Compression Buckling of Fully-Anisotropic Cylindrical Shells , 2004 .

[10]  Richard Degenhardt,et al.  Investigations on imperfection sensitivity and deduction of improved knock-down factors for unstiffened CFRP cylindrical shells , 2010 .

[11]  S. Timoshenko Theory of Elastic Stability , 1936 .

[12]  Mark W. Hilburger,et al.  Toward a Probabilistic Preliminary Design Criterion for Buckling Critical Composite Shells , 2003 .

[13]  E. F. Bruhn,et al.  Analysis and Design of Flight Vehicle Structures , 1973 .

[14]  Chiara Bisagni,et al.  Experimental Buckling of Thin Composite Cylinders in Compression , 1999 .

[15]  A. Love A treatise on the mathematical theory of elasticity , 1892 .

[16]  Chiara Bisagni,et al.  Numerical analysis and experimental correlation of composite shell buckling and post-buckling , 2000 .

[17]  P. Seide,et al.  Buckling of thin-walled circular cylinders , 1968 .

[18]  G. Kardomateas,et al.  Buckling of thick orthotropic cylindrical shells under combined external pressure and axial compression , 1995 .

[19]  Chiara Bisagni,et al.  An experimental investigation into the buckling and post-buckling of CFRP shells under combined axial and torsion loading , 2003 .

[20]  Mark W. Hilburger,et al.  Shell Buckling Design Criteria Based on Manufacturing Imperfection Signatures , 2003 .

[21]  Paul Seide,et al.  Elastic stability of thin-walled cylindrical and conical shells under axial compression , 1965 .