Abstract
This chapter illustrates the energy approach to the stability study of conservative systems with distributed parameters. The backgrounds of two basic variants of the energy criterion of bifurcational stability loss are presented: one in which the energy variation contains initial stresses (Bryan form) and one in which the energy variation contains external loads (Timoshenko form) . The backgrounds of the Rayleigh-Ritz and Galerkin methods are presented in application to static stability problems; the relationship between these methods is described in detail.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2000 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Alfutov, N.A. (2000). Energy Method for the Solution of Stability Problems. In: Stability of Elastic Structures. Foundations of Engineering Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-49098-2_2
Download citation
DOI: https://doi.org/10.1007/978-3-540-49098-2_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08498-0
Online ISBN: 978-3-540-49098-2
eBook Packages: Springer Book Archive