Transient Beam Response due to Point-Load Impact and Estimation of Onset of Yielding in Bending
Publication: Journal of Engineering Mechanics
Volume 140, Issue 1
Abstract
When a dynamic point load is applied laterally to a beam, the deflection gradually spreads over time until the entire beam length is affected. The determination of the early stages of response presents substantial mathematical difficulties. The normal-mode superposition is made awkward by the fact that the number of modal components necessary to get a reasonably accurate answer increases as the time interval of interest decreases. This paper presents a different solution based on a dominating flexural wave, which allows one to formulate compact and transparent expressions.
Get full access to this article
View all available purchase options and get full access to this article.
References
ANSYS 10 [Computer software]. Canonsburg, PA, ANSYS.
Blevins, R. D. (1979). Formulas for natural frequency and mode shape, Van Nostrand-Reinhold, New York.
Goldsmith, W. (1960). Impact, Edward Arnold, London.
Graff, K. F. (1975). Wave motion in elastic solids, Oxford University Press, New York.
Hetènyi, M. (1946). Beams on elastic foundation, University of Michigan Press, Ann Arbor, MI.
Johnson, W. (1972). Impact strength of materials, Edward Arnold, London.
Jones, N. (1997). Structural impact, Cambridge University Press, Cambridge, U.K.
Parkes, E. W. (1955). “The permanent deformation of a cantilever struck transversely at the tip.” Proc. R. Soc. Lond. A, 228(1175), 462–476.
Szuladziński, G. (1982). Dynamics of structures and machinery: Problems and solutions, Wiley, New York.
Young, W. C., and Budynas, R. G. (2002). Roark’s formulas for stress and strain, 7th Ed., McGraw Hill, New York.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 140 • Issue 1 • January 2014
Pages: 236 - 239
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Nov 14, 2009
Accepted: Feb 27, 2013
Published online: Mar 1, 2013
Published in print: Jan 1, 2014
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.