Research Article
Nov 1971
Numerical Method for Elastic Stability Problems
Publication: Journal of the Structural Division
Volume 97, Issue 11
Abstract
The elastic stability of structures leads to a linear eigenvalue problem of the type AX = λBX where A and B are symmetric and banded. A numerical method is presented to compute the critical buckling load, which is the minimum eigenvalue. The upper and lower bounds are estimated and using an improved interpolation technique the exact minimum eigenvalue is calculated. The buckling loads of nonuniform columns and isotropic and orthotropic rectangular plates with different boundary conditions are evaluated numerically. Estimates of the number of increments necessary for satisfactory results are also given. The method is general for all elastic structural stability problems.
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Information
Published In
Journal of the Structural Division
Volume 97 • Issue 11 • November 1971
Pages: 2691 - 2706
Copyright
© 1971 American Society of Civil Engineers.
History
Published in print: Nov 1971
Published online: Feb 1, 2021
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Authors
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C. V. Girija Vallabhan, M.ASCE
Asst. Prof. of Civ. Engrg., Texas Tech Univ., Lubbock, Tex.
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.