Accession Number : ADP006630

Title :   On the Analysis of Superharmonic Oscillations,

Corporate Author : ARMY RESEARCH OFFICE RESEARCH TRIANGLE PARK NC

Personal Author(s) : Wu, J. J.

Report Date : MAR 1992

Pagination or Media Count : 10

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.

Descriptors :   *OSCILLATION, *VIBRATION, *NONLINEAR DIFFERENTIAL EQUATIONS, BALANCE, BEHAVIOR, DIFFERENTIAL EQUATIONS, EQUATIONS, FUNCTIONS, HARMONICS, NODES, PAPER, PARAMETERS, STABILITY, STEADY STATE, VANS, VARIABLES.

Subject Categories : Numerical Mathematics
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE