Effect of nonlinear stiffness on the motion of a flexible pendulum
type: Item
instance of: scholarly article
title: Effect of nonlinear stiffness on the motion of a flexible pendulum
zbMATH Open document ID: 1050.70014
DOI: 10.1023/A:1017512317443
author: R. Smith
published in: Nonlinear Dynamics
publication date: 2002-05-30T00:00:00Z
review text: The authors consider a system with two degrees of freedom -- a flexible pendulum subjected to harmonic forcing. The system is a mass on spring moving along a rod pivoted at one end, and subject to an external harmonic force. The force exerted by the spring is considered to be \(ax+bx^3\), and the equations of motion are integrated numerically. Three types of spring are studied: a linear spring \((b=0)\); a weakly nonlinear spring, and a strongly nonlinear spring. Results for the frequency portrait and Poincaré section are shown in hodograph form in figures, and the progress from periodic to quasi-periodic motion and then to chaotic motion is clearly shown.
Mathematics Subject Classification ID: 70K55
Mathematics Subject Classification ID: 70K50
Mathematics Subject Classification ID: 70K40
zbMATH DE Number: 1747901
zbMATH Keywords: mass on spring
zbMATH Keywords: harmonic forcing
zbMATH Keywords: Poincaré section
reviewed by: H. N. V. Temperley
MaRDI profile type: Publication
full work available at URL: a:1017512317443
OpenAlex ID: W111918723
description: scientific article; zbMATH DE number 1747901