Nonstationary nonplanar free motions of an orbiting string with multiple internal resonances
type: Item
instance of: scholarly article
title: Nonstationary nonplanar free motions of an orbiting string with multiple internal resonances
zbMATH Open document ID: 0883.73034
DOI: 10.1007/BF00426996
author: Angelo Di Egidio
author: A. Luongo
author: Fabrizio Vestroni
published in: Meccanica
publication date: 1998-03-29T00:00:00Z
review text: The system under consideration consists of a shuttle carrying a satellite that is connected with shuttle by an elastic string. The system is governed by two nonlinear integrodifferential equations. The authors analyze the stability of steady periodic solutions, and establish the existence of two bifurcation points on a stationary branch (in which the steady solutions lose and regain stability, respectively). Additionally, the authors present a numerical solution of the problem.
Mathematics Subject Classification ID: 74H55
Mathematics Subject Classification ID: 74K05
Mathematics Subject Classification ID: 74H45
zbMATH DE Number: 993976
zbMATH Keywords: shuttle
zbMATH Keywords: satellite
zbMATH Keywords: nonlinear integrodifferential equations
zbMATH Keywords: stability of steady periodic solutions
zbMATH Keywords: bifurcation
reviewed by: Teodor Atanacković
MaRDI profile type: Publication
cites work: Q4026504
cites work: Non-linear Free Periodic Oscillations Of A Tethered Satellite System
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cites work: The transition from phase locking to drift in a system of two weakly coupled Van Der Pol oscillators
cites work: Nonlinear oscillation of circular cylindrical shells
full work available at URL: https://doi.org/10.1007/bf00426996
OpenAlex ID: W2069349151
description: scientific article; zbMATH DE number 993976