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Development of Curved-Plate Elements for the Exact Buckling Analysis of Composite Plate Assemblies Including Transverse Shear EffectsThe analytical formulation of curved-plate non-linear equilibrium equations that include transverse-shear-deformation effects is presented. A unified set of non-linear strains that contains terms from both physical and tensorial strain measures is used. Using several simplifying assumptions, linearized, stability equations are derived that describe the response of the plate just after bifurcation buckling occurs. These equations are then modified to allow the plate reference surface to be located a distance z(c), from the centroid surface which is convenient for modeling stiffened-plate assemblies. The implementation of the new theory into the VICONOPT buckling and vibration analysis and optimum design program code is described. Either classical plate theory (CPT) or first-order shear-deformation plate theory (SDPT) may be selected in VICONOPT. Comparisons of numerical results for several example problems with different loading states are made. Results from the new curved-plate analysis compare well with closed-form solution results and with results from known example problems in the literature. Finally, a design-optimization study of two different cylindrical shells subject to uniform axial compression is presented.
Document ID
19980019038
Acquisition Source
Langley Research Center
Document Type
Conference Paper
Authors
McGowan, David M.
(NASA Langley Research Center Hampton, VA United States)
Anderson, Melvin S.
(Eagle Aeronautics, Inc. Newport News, VA United States)
Date Acquired
August 17, 2013
Publication Date
January 1, 1998
Publication Information
Publication: Stability Analysis of Plates and Shells
Subject Category
Structural Mechanics
Report/Patent Number
AIAA Paper 97-1305
Distribution Limits
Public
Copyright
Public Use Permitted.
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