Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Eigenvalue branching configurations and the Rayleigh-Ritz procedure

Author: J. M. T. Thompson
Journal: Quart. Appl. Math. 22 (1964), 244-251
DOI: https://doi.org/10.1090/qam/99952
MathSciNet review: QAM99952
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Abstract | References | Additional Information

Abstract: A general theory of elastic post-buckling, applicable to a wide class of structural eigenvalue problems, is developed in generalized coordinates. Attention is restricted to the initial post-buckling path of the structural system on a plot of the load against the critical principal coordinate, and exact first-order solutions for the path are presented. These solutions are compared with the predictions of the non-linear Rayleigh-Ritz analysis in which the linear buckling mode is employed as the assumed form, and theorems concerning the results of this analysis are established.

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Additional Information

DOI: https://doi.org/10.1090/qam/99952
Article copyright: © Copyright 1964 American Mathematical Society

American Mathematical Society