Some notes on an approximate solution for the free oscillation characteristics of non-linear systems typified by ẍ +F(x, ẋ) = 0

dc.contributor.author	L. J. Beecham	en_US
dc.contributor.author	I. M. Titchener	en_US
dc.date.accessioned	2014-10-21T15:50:33Z
dc.date.available	2014-10-21T15:50:33Z
dc.date.issued	1969	en_US
dc.identifier.other	ARC/R&M-3651	en_US
dc.identifier.uri	https://reports.aerade.cranfield.ac.uk/handle/1826.2/2921
dc.description.abstract	A modified form of the approximate method developed by Kryloff and Bogoliuboff is derived and applied to particular cases with a large frequency dependence on amplitude. The results suggest that some relaxation of the constraints of the earlier method may be justified. The method provides an approximate solution of the frequency and the amplitude damping envelope in terms of the amplitude, and suggests itself as a means of cataloguing, in matrix form, the characteristics of practical non-linear systems.	en_US
dc.relation.ispartofseries	Aeronautical Research Council Reports & Memoranda	en_US
dc.title	Some notes on an approximate solution for the free oscillation characteristics of non-linear systems typified by ẍ +F(x, ẋ) = 0	en_US