Wave propagation in rods with an exponentially varying cross-section - modelling and experiments
Wave propagation in rods with an exponentially varying cross-section - modelling and experiments
In this paper we analyse longitudinal wave propagation in exponentially tapered rods from both a theoretical and an experimental perspective. The tapering introduces significant changes to the behaviour of the rod. The longitudinal wave does not propagate from zero frequency, its cut-off frequency depending on the coefficient in the exponent. The analytical description of this phenomenon is well established, however little experimental work
has been published to date. After a brief review of the classical solution of the exponential rod equation, we derive a methodology allowing the wavenumbers to be estimated from a set of equally spaced dynamic responses. Our approach is verified numerically against a finite element simulation and validated experimentally, both showing very good agreement. To further explain the results and provide an outlook for future work, we present a finite element model of the tapered rod embedded in an infinite solid medium. We conclude with a discussion on the effects of the surrounding medium on the behaviour of the structure and resulting characteristic
features of the wavenumber.
1-12
Kalkowski, Michal
6f0d01ef-7f44-459c-82a2-03f9e1275eda
Muggleton, Jennifer
2298700d-8ec7-4241-828a-1a1c5c36ecb5
Rustighi, Emiliano
9544ced4-5057-4491-a45c-643873dfed96
3 October 2016
Kalkowski, Michal
6f0d01ef-7f44-459c-82a2-03f9e1275eda
Muggleton, Jennifer
2298700d-8ec7-4241-828a-1a1c5c36ecb5
Rustighi, Emiliano
9544ced4-5057-4491-a45c-643873dfed96
Kalkowski, Michal, Muggleton, Jennifer and Rustighi, Emiliano
(2016)
Wave propagation in rods with an exponentially varying cross-section - modelling and experiments.
Journal of Physics: Conference Series, 744 (1), .
(doi:10.1088/1742-6596/744/1/012036).
Abstract
In this paper we analyse longitudinal wave propagation in exponentially tapered rods from both a theoretical and an experimental perspective. The tapering introduces significant changes to the behaviour of the rod. The longitudinal wave does not propagate from zero frequency, its cut-off frequency depending on the coefficient in the exponent. The analytical description of this phenomenon is well established, however little experimental work
has been published to date. After a brief review of the classical solution of the exponential rod equation, we derive a methodology allowing the wavenumbers to be estimated from a set of equally spaced dynamic responses. Our approach is verified numerically against a finite element simulation and validated experimentally, both showing very good agreement. To further explain the results and provide an outlook for future work, we present a finite element model of the tapered rod embedded in an infinite solid medium. We conclude with a discussion on the effects of the surrounding medium on the behaviour of the structure and resulting characteristic
features of the wavenumber.
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Accepted/In Press date: 12 August 2016
e-pub ahead of print date: 1 October 2016
Published date: 3 October 2016
Organisations:
Dynamics Group
Identifiers
Local EPrints ID: 399610
URI: http://eprints.soton.ac.uk/id/eprint/399610
ISSN: 1742-6588
PURE UUID: c160564a-238c-430b-991c-22fe920e39db
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Date deposited: 22 Aug 2016 10:29
Last modified: 15 Mar 2024 05:50
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