The University of Southampton
University of Southampton Institutional Repository

Dynamic stiffness formulation, free vibration and wave motion of helical springs

Lee, J. and Thompson, D.J. (2001) Dynamic stiffness formulation, free vibration and wave motion of helical springs Journal of Sound and Vibration, 239, (2), pp. 297-320. (doi:10.1006/jsvi.2000.3169).

Record type: Article

Abstract

A coil spring can only be treated as a simple massless force element at low frequencies, the effects of internal resonances leading to significant dynamic stiffening. For an automotive suspension spring this occurs at frequencies as low as about 40 Hz. This paper presents an efficient method for calculating the dynamic stiffness of a helical coil spring. The partial differential equations of motion are used to derive the relation between wavenumber and frequency along with the associated wave shapes. By expressing the response in terms of these waves, the dynamic stiffness matrix is assembled. Natural frequencies are obtained from the reduced stiffness matrix, allowing for different boundary conditions, making use of the Wittrick–Williams algorithm. The results of the dynamic stiffness method are compared with those of the transfer matrix method and the finite element method. The nature of the wave propagation is also investigated. Although at low frequencies four wave types propagate, above a particular frequency only two propagating waves remain. These are composite waves which are excited by both axial and transverse motion. For lower values of helix angle an intermediate frequency range exists where six propagating waves can occur.

Full text not available from this repository.

More information

Published date: 2001

Identifiers

Local EPrints ID: 10009
URI: http://eprints.soton.ac.uk/id/eprint/10009
ISSN: 0022-460X
PURE UUID: a5ab3e68-f76f-48f3-ad4f-09f7f4184d89
ORCID for D.J. Thompson: ORCID iD orcid.org/0000-0002-7964-5906

Catalogue record

Date deposited: 05 Jan 2005
Last modified: 17 Jul 2017 17:08

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 http://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.

×