Ray and wave scattering in smoothly curved thin shell cylindrical ridges

Søndergaard, N and Chappell, DJ ORCID: https://orcid.org/0000-0001-5819-0271, 2016. Ray and wave scattering in smoothly curved thin shell cylindrical ridges. Journal of Sound and Vibration, 377, pp. 155-168. ISSN 0022-460X

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Abstract

We propose wave and ray approaches for modelling mid- and high- frequency structural vibrations through smoothed joints on thin shell cylindrical ridges. The models both emerge from a simplified classical shell theory setting. The ray model is analysed via an appropriate phase-plane analysis, from which the fixed points can be interpreted in terms of the reflection and transmission properties. The corresponding full wave scattering model is studied using the finite difference method to investigate the scattering properties of an incident plane wave. Through both models we uncover the scattering properties of smoothed joints in the interesting mid-frequency region close to the ring frequency, where there is a qualitative change in the dynamics from anisotropic to simple geodesic propagation.

Item Type:	Journal article
Publication Title:	Journal of Sound and Vibration
Creators:	Søndergaard, N. and Chappell, D.J.
Publisher:	Elsevier
Date:	September 2016
Volume:	377
ISSN:	0022-460X
Identifiers:	Number Type 10.1016/j.jsv.2016.05.019 DOI
Divisions:	Schools > School of Science and Technology
Record created by:	Jill Tomkinson
Date Added:	22 Jun 2016 12:47
Last Modified:	13 Oct 2017 13:23
URI:	https://irep.ntu.ac.uk/id/eprint/28007

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