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