JSV253_3_p734_Authors_Reply[1].pdf (36.59 kB)
Download file

Authors' reply

Download (36.59 kB)
journal contribution
posted on 09.07.2010, 10:15 authored by Stephen Walsh, R.G. White
Thank you for the complementary comments on the experimental work reported in reference [1]. As you note, when considering the vibration of curved beams, it is important to acknowledge the work of L. S. D. Morley in the early 1960s. In reference [2], Morley developed a unified theory for the vibration of curved rods where the neutral axis forms a curve of constant radius of curvature. Morley's theory included the effects of rotary inertia and radial shear in a manner analogous to that of Timoshenko's theory for straight rods. Morley's theory also included the effect of extension of the neutral axis. It was shown in reference [2] that when the curvature is slight, the equations can be simplified and a Timoshenko-type equation can be obtained for the flexural motion. For this case, it was shown that the extension of the neutral axis has no effect upon the flexural motion. When the rod has pronounced curvature these simplifications are no longer valid and the more general equations must be considered.

History

School

  • Aeronautical, Automotive, Chemical and Materials Engineering

Department

  • Aeronautical and Automotive Engineering

Citation

WALSH, S.J. and WHITE, R.G., 2002. Authors' reply. Journal of Sound and Vibration, 253(3), pp. 734.

Publisher

© Academic Press / Elsevier

Version

AM (Accepted Manuscript)

Publication date

2002

Notes

This article was published in the Journal of Sound and Vibration [© Elsevier] and the definitive version is available at: www.elsevier.com/locate/jsvi

ISSN

0022-460X

Language

en

Usage metrics

Keywords

Exports