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Estimation of nonlinear oscillations by an energy method

Authors
Journal
Chemical Engineering Science
0009-2509
Publisher
Elsevier
Publication Date
Volume
28
Issue
8
Identifiers
DOI: 10.1016/0009-2509(73)80094-6

Abstract

Abstract The mean output and amplitude of the limit cycle in an oscillating nonlinear system with a small parameter can be estimated in a simple manner through an integral energy method. The results agree with the tedious Poincaré-Lindstedt and Krylov-Bogoliubov methods and can be applied easily to high order systems for which the latter techniques are not practical. Conditions under which process oscillations lead to a favorable shift in the mean output are obtained early in the analysis and independently of the estimate of the limit cycle amplitude.

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