The University of Southampton
University of Southampton Institutional Repository

Zero and root loci of disturbed spring-mass systems

Lecomte, Christophe, (2010) Zero and root loci of disturbed spring-mass systems Brennan, M.J., Kovacic, Ivana, Lopes Jr, V., Murphy, K., Petersson, B., Rizzi, S. and Yang, T. (eds.) In Recent Advances Structural Dynamics: Proceedings of the X International Conference. University of Southampton., 14pp.

Record type: Conference or Workshop Item (Paper)


We discuss analytical properties of a (possibly damped) disturbed chain of identical springs and masses. We particularly focus on a rank-one disturbance, such as a spring or damper, at or between the first and last masses. The displacements of the disturbed and undisturbed systems due to forcing at any mass are expressed in terms of Chebyshev polynomials. We present several remarkable properties in the location of the resonances (poles) and anti-resonances (zeros) of the displacements in the frequency domain. In particular, we show that there exists an elliptical region in the frequency-disturbance magnitude plane from which zeros are excluded.

Full text not available from this repository.

More information

Published date: July 2010
Additional Information: Paper No.161 (Format - USB Pen Drive)
Keywords: disturbed spring mass system, analytical transfer function, zero and root locus, chebyshev polynomials, exclusion ellipse
Organisations: Statistical Sciences Research Institute, Dynamics Group


Local EPrints ID: 160735
ISBN: 0854329102
PURE UUID: 28c52bf9-ff6b-43d4-ada7-d01adb5feb14

Catalogue record

Date deposited: 20 Jul 2010 13:18
Last modified: 18 Jul 2017 12:35

Export record


Author: Christophe Lecomte
Editor: M.J. Brennan
Editor: Ivana Kovacic
Editor: V. Lopes Jr
Editor: K. Murphy
Editor: B. Petersson
Editor: S. Rizzi
Editor: T. Yang

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 supports OAI 2.0 with a base URL of

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.