Harmonic Oscillations of Nonlinear Two-Degree-of-Freedom Systems-Reference-Cited by-同舟云学术

Harmonic Oscillations of Nonlinear Two-Degree-of-Freedom Systems

Published:1955-03-01 Issue:1 Volume:22 Page:107-110
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Huang T. C.¹²

Affiliation:

1. University of Illinois, Urbana, Ill.

2. International Harvester Company, Manufacturing Research Department, Chicago, Ill.

Abstract

Abstract In this paper an investigation is made of equations governing the oscillations of a nonlinear system in two degrees of freedom. Analyses of harmonic oscillations are illustrated for the cases of (1) the forced oscillations with nonlinear restoring force, damping neglected; (2) the free oscillations with nonlinear restoring force, damping neglected; and (3) the forced oscillations with nonlinear restoring force, small viscous damping considered. Amplitudes of oscillations and frequency equations are derived based on the mathematically justified perturbation method. Response curves are then plotted.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/22/1/107/6748927/107_1.pdf

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