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Some topics in the free and forced oscillations of a class of nonlinear systems

Vakakis, Alexander and Caughey, Thomas (1989) Some topics in the free and forced oscillations of a class of nonlinear systems. California Institute of Technology , Pasadena, CA. (Unpublished) http://resolver.caltech.edu/CaltechEERL:1988.DYNL-89-01-A

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Abstract

In this work we examine the free and forced oscillation of a class of two-Degree-of Freedom Undampted Nonlinear Systems. We examine the existence and stability of Similar Normal Modes of the Unsymmetric system and we analyse the subharmonic periodic orbits of the weakly coupled symmetric oscillator. Furthermore, exact solutions for the steady state forced motions of the strongly nonlinear system are derived and specific applications for systems with cubic nonlinearities are given. Finally we give a methodology for examining the Nonsimilar Normal Modes of such systems and we apply the analysis to the case of a weakly coupled system with cubic nonlinearities.


Item Type:Report or Paper (Technical Report)
Additional Information:This technical report duplicates the numbering for "Considerations for the design of gas-lubricated slider bearing", Dynamics Laboratory Report no. DYNL 89-01
Group:Dynamics Laboratory
Record Number:CaltechEERL:1988.DYNL-89-01-A
Persistent URL:http://resolver.caltech.edu/CaltechEERL:1988.DYNL-89-01-A
Usage Policy:You are granted permission for individual, educational, research and non-commercial reproduction, distribution, display and performance of this work in any format.
ID Code:26570
Collection:CaltechEERL
Deposited By: Imported from CaltechEERL
Deposited On:11 Jan 2011
Last Modified:21 Jun 2014 05:54

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