On the Analysis of Superharmonic Oscillations,
Abstract
This paper presents an analysis for the superharmonics of a forced nonlinear vibration problem involving small parameters, using a generalized harmonic balance method. A nonlinear ordinary differential equation with several nonlinear terms and a periodic forcing function is considered. For the case of superharmonic oscillations of order 2, the key equations for the obtaining the information on the superharmonics will be derived, including a new, nonlinear ordinary differential equation of a slow varying function compared with the original dependent variable. Using these equations, the steady state solution and its stability behavior can be calculated. Results for a special set of parameters are obtained, including a stable node for the steady state solution and the associated van del Pol plane.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1992
- Accession Number
- ADP006630
Entities
People
- J. J. Wu
Organizations
- Army Research Office