Engineering and Computer Science Faculty Publications

Title

Experimental Observation of Amplitude- and Phase-Modulated Responses of Two Internally Coupled Oscillators to a Harmonic Excitation

Document Type

Article

Publication Date

9-1988

Journal Title

Journal of Applied Mechanics

Volume

55

Issue

3

First Page

706

Last Page

710

DOI

10.1115/1.3125853

Abstract

An experiment is performed on a two degree-of-freedom mechanical system having quadratic nonlinearities and linear natural frequencies ω1 and ω2 approximately in the ratio of two-to-one (i.e., ω2 ≈ 2ω1 ). When the lower mode is excited by a harmonic excitation whose frequency Ω is nearly equal to ω1 , amplitude- and phase-modulated responses of the system have been observed for a range of the excitation frequency Ω, in qualitative agreement with the results of a second-order perturbation theory.

Keywords

Degrees of freedom, perturbation theory