Dynamics of a two-module vibration-driven system moving along a rough horizontal plane
type: Item
instance of: scholarly article
title: Dynamics of a two-module vibration-driven system moving along a rough horizontal plane
zbMATH Open document ID: 1206.70014
published in: Multibody System Dynamics
publication date: 2009-11-02T00:00:00Z
review text: The authors study a rectilinear motion of two bodies connected by a spring on a rough horizontal plane. The motion is excited by two identical unbalanced rotors based on these bodies. The axes of rotation of the rotors are vertical. For small coefficient of friction, the authors obtain an approximate mean steady-state velocity of the system. It is shown that this velocity can be controlled by the change of phase shift between the rotations of the rotors. Also the direction of motion can be changed by changing the sign of the difference between the natural frequencies of the rotors and angular velocity. The model was confirmed experimentally. P.S. The first sentence in the second paragraph after equation (28) should read as follows: The difference between the solution of the averaged equation (26) and the solution of (25) has an order of magnitude of \(\varepsilon\) on the time interval of order of \(1/ \varepsilon\), provided that both sets of equations are subjected to the same initial conditions.
reviewed by: Yuri N. Sankin
Mathematics Subject Classification ID: 70K40
Mathematics Subject Classification ID: 70Q05
Mathematics Subject Classification ID: 70E55
Mathematics Subject Classification ID: 70F40
zbMATH DE Number: 5624264
zbMATH Keywords: dry friction
zbMATH Keywords: control
author: Klaus F. Zimmermann
author: Igor Zeidis
author: N. N. Bolotnik
author: Michail Pivovarov
MaRDI profile type: Publication
full work available at URL: s11044-009-9158-2
OpenAlex ID: W4256405237
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DOI: 10.1007/S11044-009-9158-2
description: scientific article; zbMATH DE number 5624264