Abstract
A forced oscillation is characterized by the existence of external excitation which determines the time-law of the oscillator motion. The analysis of nonlinear forced oscillations is a very difficult task. The difficulty arises mainly from the fact that the superposition principle no longer holds for nonlinear systems, so that the total solution cannot be obtained from a synthesis of the particular solutions, and the general solution cannot be found by simple superposition of the solution of the homogeneous equation and the particular solution of the inhomogeneous equation. As we shall see later, many new effects, including some of technical importance, can appear. Among these are for example, jumps in amplitude, subharmonic oscillations, combination frequencies, entrainment of frequencies and so on.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1997 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Mitropolskii, Y.A., Van Dao, N. (1997). Forced Oscillations. In: Applied Asymptotic Methods in Nonlinear Oscillations. Solid Mechanics and Its Applications, vol 55. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8847-8_3
Download citation
DOI: https://doi.org/10.1007/978-94-015-8847-8_3
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4865-3
Online ISBN: 978-94-015-8847-8
eBook Packages: Springer Book Archive