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sigma(Flugge)/sigma(Donnell) is the ratio of critical stresses from Flugge theory and Donnell theory
FROM:
Martin M. Mikulas, Jr. (1), Michael P. Nemeth (2), Leonard Oremont (3) and Dawn C. Jegley (2)
(1) National Institute of Aerospace, Hampton, VA 23666
(2) NASA Langley Research Center, Hampton, VA 23681
(3) Lockheed Martin Corp., Hampton, VA 23681
“Effect of boundary conditions on the axial compression buckling of homogeneous orthotropic composite cylinders in the long column range”, Unidentified Conference (possibly AIAA/ASME Structures Meeting), 2011, DOI: 10.2514/6.2011-2126
ABSTRACT: Buckling loads for long isotropic and laminated cylinders are calculated based on Euler, Flügge and Donnell’s equations. Results from these methods are presented using simple parameters useful for fundamental design work. Buckling loads for two types of simply supported boundary conditions are calculated using finite element methods for comparison to select cases of the closed form solution. Results indicate that relying on Donnell theory can result in an over-prediction of buckling loads by as much as 40% in isotropic materials.
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