Group-Theoretic Buckling Analysis of Symmetric Plane Frames
Publication: Journal of Structural Engineering
Volume 147, Issue 10
Abstract
This paper presents a computationally efficient formulation based on group theory, for the buckling analysis of symmetric plane frames. Numerical examples ranging from simple frames with one vertical plane of symmetry to more complex configurations with multiple symmetry planes are considered. In contrast to conventional procedures for accounting for symmetry, group theory uses the full symmetry of the configuration, resulting in higher reductions of computational effort. Typically, the -dimensional problem is decomposed into smaller problems that are independent of each other, permitting the buckling loads and mode shapes to be computed through the solution of problems of much smaller dimension. The approach also yields insights on the character of the buckling modes before detailed computations are carried out.
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Data Availability Statement
All data, models, and code generated or used during the study appear in the published paper.
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Published In
Journal of Structural Engineering
Volume 147 • Issue 10 • October 2021
Copyright
© 2021 American Society of Civil Engineers.
History
Received: Dec 21, 2020
Accepted: May 17, 2021
Published online: Jul 30, 2021
Published in print: Oct 1, 2021
Discussion open until: Dec 30, 2021
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