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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)

Abstract

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.

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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

Identifiers

Local EPrints ID: 160735
URI: http://eprints.soton.ac.uk/id/eprint/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

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Contributors

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

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