On an asymptotic method of Krylov-Bogoliubov for overdamped nonlinear systems

Murty, I. Suryanarayana ; Deekshatulu, B. L. ; Krishna, G. (1969) On an asymptotic method of Krylov-Bogoliubov for overdamped nonlinear systems Journal of the Franklin Institute, 288 (1). pp. 49-65. ISSN 0016-0032

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/001600...

Related URL: http://dx.doi.org/10.1016/0016-0032(69)00203-1

Abstract

A general asymptotic method based on the work of Krylov-Bogoliubov is developed to obtain the response of nonlinear over damped systems. A second-order system with both roots real is treated first and the method is then extended to higher-order systems. Two illustrative examples show good agreement with results obtained by numerical integration.

Item Type:Article
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ID Code:9702
Deposited On:02 Nov 2010 10:59
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