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Application of a trigonometric finite difference procedure to numerical analysis of compressive and shear buckling of orthotropic panelsA numerical analysis developed for the buckling of rectangular orthotropic layered panels under combined shear and compression is described. This analysis uses a central finite difference procedure based on trigonometric functions instead of using the conventional finite differences which are based on polynomial functions. Inasmuch as the buckle mode shape is usually trigonometric in nature, the analysis using trigonometric finite differences can be made to exhibit a much faster convergence rate than that using conventional differences. Also, the trigonometric finite difference procedure leads to difference equations having the same form as conventional finite differences; thereby allowing available conventional finite difference formulations to be converted readily to trigonometric form. For two-dimensional problems, the procedure introduces two numerical parameters into the analysis. Engineering approaches for the selection of these parameters are presented and the analysis procedure is demonstrated by application to several isotropic and orthotropic panel buckling problems. Among these problems is the shear buckling of stiffened isotropic and filamentary composite panels in which the stiffener is broken. Results indicate that a break may degrade the effect of the stiffener to the extent that the panel will not carry much more load than if the stiffener were absent.
Document ID
19790068689
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Stein, M.
(NASA Langley Research Center Hampton, VA, United States)
Housner, J. D.
(NASA Langley Research Center Hampton, Va., United States)
Date Acquired
August 9, 2013
Publication Date
July 1, 1978
Publication Information
Publication: Computers and Structures
Volume: 9
Subject Category
Structural Mechanics
Accession Number
79A52702
Distribution Limits
Public
Copyright
Other

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