Abstract
This Chapter analyzes non-autonomous mechanical systems with one degree of freedom whose Lagrange function depends explicitly on time. This involves either some time-dependent parameter or a harmonic excitation. The variationalasymptotic analysis, combined with multi-scaling, belongs again to the arsenal of mostly used analytical methods of solution of variational problems containing small parameters.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Le, K.C., Nguyen, L.T.K. (2014). Non-autonomous Single Oscillator. In: Energy Methods in Dynamics. Interaction of Mechanics and Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-05419-3_6
Download citation
DOI: https://doi.org/10.1007/978-3-319-05419-3_6
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-05418-6
Online ISBN: 978-3-319-05419-3
eBook Packages: EngineeringEngineering (R0)