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.

Wave propagation in rods with an exponentially varying cross-section - Modelling and experiments / Kalkowski, M. K.; Muggleton, J. M.; Rustighi, E.. - In: JOURNAL OF PHYSICS. CONFERENCE SERIES. - ISSN 1742-6588. - 744:(2016), pp. 012036.1-012036.12. (Intervento presentato al convegno MOVIC 2016 and RASD 2016 tenutosi a Southampton nel 4th-6th July 2016) [10.1088/1742-6596/744/1/012036].

Wave propagation in rods with an exponentially varying cross-section - Modelling and experiments

Rustighi E.
2016-01-01

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.
2016
13th International Conference on Motion and Vibration Control (MOVIC 2016) and the 12th International Conference on Recent Advances in Structural Dynamics (RASD 2016)
Bristol
Institute of Physics Publishing
Kalkowski, M. K.; Muggleton, J. M.; Rustighi, E.
Wave propagation in rods with an exponentially varying cross-section - Modelling and experiments / Kalkowski, M. K.; Muggleton, J. M.; Rustighi, E.. - In: JOURNAL OF PHYSICS. CONFERENCE SERIES. - ISSN 1742-6588. - 744:(2016), pp. 012036.1-012036.12. (Intervento presentato al convegno MOVIC 2016 and RASD 2016 tenutosi a Southampton nel 4th-6th July 2016) [10.1088/1742-6596/744/1/012036].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/290592
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