The University of Southampton
University of Southampton Institutional Repository

On the dynamic behaviour of a mass supported by a parallel combination of a spring and an elastically connected damper

On the dynamic behaviour of a mass supported by a parallel combination of a spring and an elastically connected damper
On the dynamic behaviour of a mass supported by a parallel combination of a spring and an elastically connected damper
This paper presents a consistent and concise analysis of the free and forced vibration of a mass supported by a parallel combination of a spring and an elastically supported damper (a Zener model). The results are presented in a compact form and the physical behaviour of the system is emphasised. This system is very similar to the conventional single-degree-of freedom system (sdof)—(Voigt model), but the dynamics can be quite different depending on the system parameters. The usefulness of the additional spring in series with the damper is investigated, and optimum damping values for the system subject to different types of excitation are determined and compared.

There are three roots to the characteristic equation for the Zener model; two are complex conjugates and the third is purely real. It is shown that it is not possible to achieve critical damping of the complex roots unless the additional stiffness is at least eight times that of the main spring. For a harmonically excited system, there are some possible advantages in using the additional spring when the transmitted force to the base is of interest, but when the displacement response of the system is of interest then the benefits are marginal. It is shown that the additional spring affords no advantages when the system is excited by white noise.
0022-460X
823-837
Brennan, M.J.
87c7bca3-a9e5-46aa-9153-34c712355a13
Carrella, A.
1a1904a5-80c2-435a-b3d4-2e26d87ece61
Waters, T.P.
348d22f5-dba1-4384-87ac-04fe5d603c2f
Lopes, V.
c2ba0cd8-31e9-4f89-b042-02cca1c58233
Brennan, M.J.
87c7bca3-a9e5-46aa-9153-34c712355a13
Carrella, A.
1a1904a5-80c2-435a-b3d4-2e26d87ece61
Waters, T.P.
348d22f5-dba1-4384-87ac-04fe5d603c2f
Lopes, V.
c2ba0cd8-31e9-4f89-b042-02cca1c58233

Brennan, M.J., Carrella, A., Waters, T.P. and Lopes, V. (2008) On the dynamic behaviour of a mass supported by a parallel combination of a spring and an elastically connected damper. Journal of Sound and Vibration, 309 (3-5), 823-837. (doi:10.1016/j.jsv.2007.07.074).

Record type: Article

Abstract

This paper presents a consistent and concise analysis of the free and forced vibration of a mass supported by a parallel combination of a spring and an elastically supported damper (a Zener model). The results are presented in a compact form and the physical behaviour of the system is emphasised. This system is very similar to the conventional single-degree-of freedom system (sdof)—(Voigt model), but the dynamics can be quite different depending on the system parameters. The usefulness of the additional spring in series with the damper is investigated, and optimum damping values for the system subject to different types of excitation are determined and compared.

There are three roots to the characteristic equation for the Zener model; two are complex conjugates and the third is purely real. It is shown that it is not possible to achieve critical damping of the complex roots unless the additional stiffness is at least eight times that of the main spring. For a harmonically excited system, there are some possible advantages in using the additional spring when the transmitted force to the base is of interest, but when the displacement response of the system is of interest then the benefits are marginal. It is shown that the additional spring affords no advantages when the system is excited by white noise.

Full text not available from this repository.

More information

e-pub ahead of print date: 31 October 2007
Published date: 22 January 2008
Organisations: Dynamics Group

Identifiers

Local EPrints ID: 49632
URI: https://eprints.soton.ac.uk/id/eprint/49632
ISSN: 0022-460X
PURE UUID: 0c781978-8af8-4992-b3a9-b3e70faf90cf

Catalogue record

Date deposited: 23 Nov 2007
Last modified: 13 Mar 2019 20:53

Export record

Altmetrics

Contributors

Author: M.J. Brennan
Author: A. Carrella
Author: T.P. Waters
Author: V. Lopes

University divisions

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.

×