Shock Wave Generation through Constructive Wave Amplification

Dion, Steven; Riel, Louis-Philippe; Brouillette, Martin

doi:10.1007/978-3-642-25685-1_125

Cited by 1 publication

(1 citation statement)

References 3 publications

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“…Longitudinal waves were excited at one end of a solid circular waveguide with a time-reversed signal so as to concentrate energy at the other end which is submersed in a fluid. A similar problem was studied by Dion et al [6] who extracted the required input waveform from measured FRFs instead of time-reversal. Francoeur and Berry [7] implemented time reversal on an anechoic beam at audible frequencies, principally to identify and locate wave scatterers.…”

Section: Accepted Manuscriptmentioning

confidence: 95%

A chirp excitation for focussing flexural waves

Waters

2019

Journal of Sound and Vibration

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In this paper, the dispersive nature of flexural waves is exploited to generate a shock response at an arbitrary location on a waveguide. The input waveform is an up-chirp whose instantaneous frequency is chosen to ensure synchronous arrival at an arbitrary focal point. An analytical expression is derived for the required chirp waveform as a function of bandwidth and focal point location given prior knowledge of the dispersion relation. The principle is illustrated for an analytical model of a uniform beam. Simulated results show that it is possible, in theory, to achieve peak responses that are at least an order of magnitude larger than steady state response due to harmonic excitation. Further, the peak response increases with approximately the square root of distance from the point of excitation when damping is negligible. Velocity, acceleration, normal strain and shear stress exhibit qualitatively similar results which differ quantitatively owing to their different frequency responses with respect to the input. A single degree-of-freedom model of an electrodynamic shaker is coupled to the analytical beam model in order to predict peak mechanical responses per peak input voltage of the chirp waveform. The coupled electromechanical model is then validated experimentally through both frequency response and transient measurements. The technique is potentially applicable to situations where a large and reasonably localised transient response is required on a beam or plate-like structure using minimal instrumentation.

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Section: Accepted Manuscriptmentioning

confidence: 95%

A chirp excitation for focussing flexural waves

Waters

2019

Journal of Sound and Vibration

View full text Add to dashboard Cite

show abstract

Shock Wave Generation through Constructive Wave Amplification

Cited by 1 publication

References 3 publications

A chirp excitation for focussing flexural waves

A chirp excitation for focussing flexural waves

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