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On the Equivalence of the Galerkin and Rayleigh-Ritz Methods

Published online by Cambridge University Press:  04 July 2016

Josef Singer
Josef Singer*
Affiliation:
Department of Aeronautical Engineering, Technion, Israel Institute of Technology
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Extract

The Galerkin method for the approximate solution of elasticity problems (see e.g. Ref. 1) is usually presented as an alternative to the Rayleigh-Ritz method. The main distinction between the two methods is stated to be that the former begins with an equation of equilibrium, whereas the latter begins with a total potential energy expression. The two methods are not always equivalent, and the conditions for equivalence are given in Duncan's lucid presentation of the method (Refs. 2 and 3, which unfortunately have been out of print for some time). These conditions, however, are generally omitted from discussions of the Galerkin method, and it is the purpose of this note to re-emphasise them in a slightly different form.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 66 , Issue 621 , September 1962 , pp. 592
Copyright
Copyright © Royal Aeronautical Society 1962

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References

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