The University of Southampton
University of Southampton Institutional Repository

Analysis of energy dissipation in an elastic moving string with a viscous damper at one end

Analysis of energy dissipation in an elastic moving string with a viscous damper at one end
Analysis of energy dissipation in an elastic moving string with a viscous damper at one end
In this paper transverse vibration of an axially moving viscoelastic string with a viscous damper at one end is investigated analytically. The string is assumed to be travelling with constant velocity and the length of string is constant or time varying. The linear and nonlinear mathematical models are derived using the Lagrangian function and implemented using a finite element method. The method considers a time varying state space function applied to the linear model, the Newmark-Beta method is used to solve the response for the nonlinear problem numerically. The case of energy dissipated by a viscoelastic damper at one end of the string for different axial string velocities is considered. When a disturbance arrives at the boundary an exact value for the damper which provides maximum energy dissipation is investigated. Finally, numerical simulations are presented to establish the feasibility of the method
0022-460X
2556-2570
Chen, E.W.
bacac18f-2823-44ea-b8b2-bd61b1b3b94b
Ferguson, N.S.
8cb67e30-48e2-491c-9390-d444fa786ac8
Chen, E.W.
bacac18f-2823-44ea-b8b2-bd61b1b3b94b
Ferguson, N.S.
8cb67e30-48e2-491c-9390-d444fa786ac8

Chen, E.W. and Ferguson, N.S. (2014) Analysis of energy dissipation in an elastic moving string with a viscous damper at one end. Journal of Sound and Vibration, 33 (9), 2556-2570. (doi:10.1016/j.jsv.2013.12.024).

Record type: Article

Abstract

In this paper transverse vibration of an axially moving viscoelastic string with a viscous damper at one end is investigated analytically. The string is assumed to be travelling with constant velocity and the length of string is constant or time varying. The linear and nonlinear mathematical models are derived using the Lagrangian function and implemented using a finite element method. The method considers a time varying state space function applied to the linear model, the Newmark-Beta method is used to solve the response for the nonlinear problem numerically. The case of energy dissipated by a viscoelastic damper at one end of the string for different axial string velocities is considered. When a disturbance arrives at the boundary an exact value for the damper which provides maximum energy dissipation is investigated. Finally, numerical simulations are presented to establish the feasibility of the method

Full text not available from this repository.

More information

e-pub ahead of print date: 25 January 2014
Published date: 28 April 2014
Organisations: Dynamics Group

Identifiers

Local EPrints ID: 362269
URI: https://eprints.soton.ac.uk/id/eprint/362269
ISSN: 0022-460X
PURE UUID: d625c560-bdab-4fcb-9694-b8eebbdb2e9b
ORCID for N.S. Ferguson: ORCID iD orcid.org/0000-0001-5955-7477

Catalogue record

Date deposited: 20 Feb 2014 09:29
Last modified: 10 Sep 2019 00:57

Export record

Altmetrics

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of https://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×