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Circumferential resonance modes of solid elastic cylinders excited by obliquely incident acoustic waves. | LitMetric

Circumferential resonance modes of solid elastic cylinders excited by obliquely incident acoustic waves.

J Acoust Soc Am

Department of Mechanical and Industrial Engineering, University of Toronto, 5 King's College Road, Toronto, Ontario M5S 3G8, Canada.

Published: January 2003

AI Article Synopsis

  • The study investigates how an elastic cylinder reacts to acoustic waves coming in at different angles, specifically focusing on its resonance modes.
  • Findings show unique patterns in the resonance that depend on both the wave's angle and frequency, including pairings of specific modes and unusual behaviors at certain angles.
  • The research uses Resonance Scattering Theory to explain these behaviors and to understand how they affect the cylinder's internal displacement due to the incoming waves.

Article Abstract

When an immersed solid elastic cylinder is insonified by an obliquely incident plane acoustic wave, some of the resonance modes of the cylinder are excited. These modes are directly related to the incidence angle of the insonifying wave. In this paper, the circumferential resonance modes of such immersed elastic cylinders are studied over a large range of incidence angles and frequencies and physical explanations are presented for singular features of the frequency-incidence angle plots. These features include the pairing of one axially guided mode with each transverse whispering gallery mode, the appearance of an anomalous pseudo-Rayleigh in the cylinder at incidence angles greater than the Rayleigh angle, and distortional effects of the longitudinal whispering gallery modes on the entire resonance spectrum of the cylinder. The physical explanations are derived from Resonance Scattering Theory (RST), which is employed to determine the interior displacement field of the cylinder and its dependence on insonification angle.

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Source
http://dx.doi.org/10.1121/1.1525289DOI Listing

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