Accession Number:

ADP006630

Title:

On the Analysis of Superharmonic Oscillations,

Descriptive Note:

Corporate Author:

ARMY RESEARCH OFFICE RESEARCH TRIANGLE PARK NC

Personal Author(s):

Report Date:

1992-03-01

Pagination or Media Count:

10.0

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.

Subject Categories:

  • Numerical Mathematics
  • Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE