Coupled flutter and divergence bifurcation of a double pendulum
type: Item
instance of: scholarly article
title: Coupled flutter and divergence bifurcation of a double pendulum
zbMATH Open document ID: 0563.70024
DOI: 10.1016/0020-7462(84)90005-2
published in: International Journal of Non-Linear Mechanics
publication date: 1984-01-01T00:00:00Z
review text: The loss of stability of the equilibrium position of a double pendulum with follower force loading and elastic end support is studied. At a special parameter combination the linearized system is characterized by a zero root and a pure imaginary pair of eigenvalues. Therefore, the stability problem is a complicated critical case in the sense of Liapunov and requires a nonlinear analysis. A complete post-bifurcation investigation of the coupled divergence and flutter motions is given by means of centre manifold theory, and bifurcation diagrams. Among the different types of motions even the appearance of chaotic behavior is shown.
Mathematics Subject Classification ID: 70K20
zbMATH DE Number: 3898302
zbMATH Keywords: double pendulum
zbMATH Keywords: follower force loading
zbMATH Keywords: elastic end support
zbMATH Keywords: zero root
zbMATH Keywords: pure imaginary pair of eigenvalues
zbMATH Keywords: post-bifurcation investigation
zbMATH Keywords: coupled divergence and flutter motions
zbMATH Keywords: centre manifold theory
zbMATH Keywords: bifurcation diagrams
zbMATH Keywords: chaotic behavior
author: Rudolf Scheidl
author: Hans Troger
author: Klaus Zeman
MaRDI profile type: Publication
full work available at URL: 0020-7462(84)90005-2
OpenAlex ID: W2040007022
description: scientific article; zbMATH DE number 3898302