Published January 1, 1989
| public
Technical Report
Open
Some topics in the free and forced oscillations of a class of nonlinear systems
- Creators
- Vakakis, Alexander
- Caughey, Thomas
Chicago
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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.
Additional Information
This technical report duplicates the numbering for "Considerations for the design of gas-lubricated slider bearing", Dynamics Laboratory Report no. DYNL 89-01Files
DYNL89-1A.pdf
Files
(2.8 MB)
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Additional details
- Eprint ID
- 26570
- Resolver ID
- CaltechEERL:1988.DYNL-89-01-A
- Created
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2011-01-11Created from EPrint's datestamp field
- Updated
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2019-10-03Created from EPrint's last_modified field
- Caltech groups
- Dynamics Laboratory