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On the warping of the extreme ends of a beam under flexural oscillations.
- Source :
-
Journal of Sound & Vibration . Nov2018, Vol. 435, p234-245. 12p. - Publication Year :
- 2018
-
Abstract
- Abstract In this paper, we explain why beyond a certain critical frequency the extreme ends of a beam under flexural oscillations remain sometimes plane and in other cases become warped. We have seen this to be the case when the flexural oscillations of a beam are studied experimentally. Using the plane stress elastodynamic theory as well as a more precise calculation based on a 3D finite element method, we show for the first time that when the transverse displacement has a derivative equal to zero near the beam extremes, the ends can indeed become warped. In addition it is shown, from an energetic point of view, that warped modes result from a constructive spatial interference of the two components of flexural oscillations while flat modes result from a destructive interference of these two components. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0022460X
- Volume :
- 435
- Database :
- Academic Search Index
- Journal :
- Journal of Sound & Vibration
- Publication Type :
- Academic Journal
- Accession number :
- 131807205
- Full Text :
- https://doi.org/10.1016/j.jsv.2018.08.019