The University of Southampton
University of Southampton Institutional Repository

Wave propagation, reflection and transmission in curved beams

Lee, S.K., Mace, B.R. and Brennan, M.J. (2007) Wave propagation, reflection and transmission in curved beams Journal of Sound and Vibration, 306, (3-5), pp. 636-656. (doi:10.1016/j.jsv.2007.06.001).

Record type: Article


Wave motion in thin, uniform, curved beams with constant curvature is considered. The beams are assumed to undergo only in-plane motion, which is described by the sixth-order coupled differential equations based on Flügge's theory. In the wave domain the motion is associated with three independent wave modes. A systematic wave approach based on reflection, transmission and propagation of waves is presented for the analysis of structures containing curved beam elements. Displacement, internal force and propagation matrices are derived. These enable transformations to be made between the physical and wave domains and provide the foundation for systematic application of the wave approach to the analysis of waveguide structures with curved beam elements. The energy flow associated with waves in the curved beam is also discussed. It is seen that energy can be transported independently by the propagating waves and also by the interaction of a pair of positive and negative going wave components which are non-propagating, i.e. their wavenumbers are imaginary or complex. A further transformation can be made to power waves, which can transport energy independently. Numerical examples are given to illustrate the wave approach. The first concerns power transmission and reflection through a U-shaped connector between two straight beams while the second concerns the free vibration of finite curved beams where results are compared to other published results.

Full text not available from this repository.

More information

Published date: 9 October 2007


Local EPrints ID: 49564
ISSN: 0022-460X
PURE UUID: 2fd0419f-7d44-4a9c-a483-f9408bf6be53

Catalogue record

Date deposited: 16 Nov 2007
Last modified: 17 Jul 2017 14:55

Export record



Author: S.K. Lee
Author: B.R. Mace
Author: M.J. Brennan

University divisions

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton:

ePrints Soton supports OAI 2.0 with a base URL of

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.