An alternative formulation in linear bifurcation analysis of laminated shells

Thin-Walled Structures

Volumn 47, Issue 1, 2009, Pages 44-52

  Goldfeld, Y ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

Filament; Laminated shells; Linear bifurcation analysis; Mixed formulation; Winding

Indexed keywords

BIFURCATION (MATHEMATICS); BOUNDARY VALUE PROBLEMS; DERIVATIVES; FILAMENT WINDING; FILAMENTS (LAMP); LAMINATING; PROBABILITY DENSITY FUNCTION; STIFFNESS MATRIX;

ALTERNATIVE FORMULATIONS; DERIVATIVE FUNCTIONS; FIBER ORIENTATIONS; FILAMENT; KINEMATIC THEORIES; LAMINATED CONICAL SHELLS; LAMINATED SHELLS; LAMINATED SHELLS OF REVOLUTIONS; LINEAR BIFURCATION ANALYSIS; LINEAR BIFURCATIONS; MIXED FORMULATION; MIXED FORMULATIONS; SHELL STRUCTURES; SHELL THEORIES; VARIABLE MATERIAL PROPERTIES; VARIATIONAL FORMULATIONS;

SHELLS (STRUCTURES);

EID: 56949086158     PISSN: 02638231     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.tws.2008.05.001     Document Type: Article

References (19)

1. Baruch M., Singer J., and Harari O. General instability of conical shells with non-uniformly spaced stiffeners under hydrostatic pressure. Israel J Technol 3 3 (1965) 62-71
2. Shalev A., Baruch M., and Nissim E. Buckling analysis of elastically constrained stiffened conical shells under hydrostatic pressure by the collocation method. Israel J Technol 11 1/2 (1973) 75-87
3. Goldfeld Y., and Arbocz J. Elastic buckling of laminated conical shells using a hierarchical high-fidelity analysis procedure. ASCE J Eng Mech 132 12 (2006) 1335-1344
4. Sheinman I., Shaw D., and Simitses G.J. Nonlinear analysis of axially loaded laminated cylindrical shells. Comput Struct 16 1-4 (1983) 131-137
5. Zhang GQ, Arbocz J. Initial postbuckling analysis of anisotropic conical shells. In: Proceedings of the 34th AIAA/ASME/ASCE,AHS/ASC structures, structural dynamics, and materials conference. Washington, DC: AIAA; 1993. p. 326-35.
6. Sheinman I., and Goldfeld Y. Buckling of laminated cylindrical shells in terms of different theories and formulations. AIAA J 39 9 (2001) 1773-1781
7. Sheinman I., and Jabareen M. Postbuckling of laminated cylindrical shells in different formulations. AIAA J 43 5 (2005) 1117-1123
8. Goldfeld Y., and Ejgenberg E.A. On the different formulations in linear bifurcation analysis of laminated cylindrical shells. Int J Solids Struct 44 25/26 (2007) 8613-8626
9. Timoshenko S., and Gere J.M. Theory of elastic stability (1961), McGraw-Hill, New York
10. Sanders J.L. Nonlinear theories for thin shells. Quart J Appl Math 21 1 (1963) 21-36
11. Donnell LH. Stability of thin-walled tubes under torsion. NACA TR-479, 1933.
12. Goldfeld Y., Sheinman I., and Baruch M. Imperfection sensitivity of conical shell. AIAA J 4 3 (2003) 517-524
13. Jones R.M. Mechanics of composite materials (1975), McGraw-Hill Company
14. Whitney J.M. Structural analysis of laminated anisotropic plates (1987), Technomic Publishing Co. Inc., Lancaster, PA
15. Baruch M, Arbocz J, Zhang GQ. Laminated conical shells-considerations for the variations of the stiffness coefficients. In: Proceedings of the 35th AIAA/ASME/ASCE/AHS/ASC S.S.D.M. conference. Hilton Head, South Carolina; April 1994. p. 2505-16.
16. Goldfeld Y., and Arbocz J. Buckling of laminated conical shells given the variations of the stiffness coefficients. AIAA J 42 3 (2004) 642-649
17. Tene Y., Epstein M., and Sheinman I. Dynamics of curved beams involving shear deformation. Int J Solids Struct 11 (1975) 827-840
18. Sheinman I., and Adan M. The effect of shear deformation on post-buckling behavior of laminated beams. J Appl Mech, Trans ASME 54 (1987) 558-562
19. Almroth BO, Brogan FA, Meller E, Zele F, Petersen HT. Collapse analysis for shells of general shape. User's manual for STAGS-A computer code. US Air Force Flight Dynamics Lab. Technical report AFFDL TR-71-8, Wright-Patterson AFB, OH, 1973.