A Procedure for Finite Element Plate and Shell Pre- and Post-Buckling Analysis

Item

Title
A Procedure for Finite Element Plate and Shell Pre- and Post-Buckling Analysis
Description
A procedure for finite element analysis of geometrically nonlinear problems, extending over the pre-buckling and initial post-buckling regimes, snap-through buckling, and accounting for initial imperfections, is described. The computation of the nonlinear pre-buckling path is accomplished by direct iterative solution. The bifurcation point is established by interpolation of solution points of the pre-buckling and immediate post-buckling analyses. A static perturbation method is then developed for determination of the post-buckling path of the bifurcating structure or the limit point of a structure with initial imperfections. Three numerical examples, involving an arch, flat plate and shallow shell, are presented in illustration of the procedure and in comparison with alternative approaches.
Creator
Gallagher, Richard H.
Lien, S.
Mau, S. T.
Abstract
A procedure for finite element analysis of geometrically nonlinear problems, extending over the pre-buckling and initial post-buckling regimes, snap-through buckling, and accounting for initial imperfections, is described. The computation of the nonlinear pre-buckling path is accomplished by direct iterative solution. The bifurcation point is established by interpolation of solution points of the pre-buckling and immediate post-buckling analyses. A static perturbation method is then developed for determination of the post-buckling path of the bifurcating structure or the limit point of a structure with initial imperfections. Three numerical examples, involving an arch, flat plate and shallow shell, are presented in illustration of the procedure and in comparison with alternative approaches.
Corporate Author
Cornell University
Report Number
AFFDL TR 71-160 p. 857-879
Report Availability
Full text available
Publisher
Wright-Patterson Air Force Base, OH : Air Force Flight Dynamics Laboratory, Air Force Systems Command and Air Force Institute of Technology, Air University
Date
1973
Type
article
Date Issued
1973-12
Provenance
Bombardier/Aero
Distribution Classification
1
Distribution Conflict
No
DTIC Record Exists
No
Format
1 online resource (24 pages) : ill.
Extent
24
Identifier
AD0785968
Is Part Of
Proceedings of the Third Conference on Matrix Methods in Structural Mechanics: Proceedings of the Conference held at Wright-Patterson Air Force Base, Ohio 19-21 October 1971
Media
AFFDLTR71-160article29.pdf

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Items with "Has Part: A Procedure for Finite Element Plate and Shell Pre- and Post-Buckling Analysis"
Title Class
Proceedings of the Third Conference on Matrix Methods in Structural Mechanics: Proceedings of the Conference held at Wright-Patterson Air Force Base, Ohio 19-21 October 1971