Free and forced vibration of cracked inhomogeneous beams under an axial force and a moving load

J. Yang; Y. Chen; Y. Xiang; X. L. Jia

doi:10.1016/j.jsv.2007.10.034

Author(s)

J. Yang
Y. Chen
Y. Xiang
X. L. Jia

Detail(s)

Original language	English
Pages (from-to)	166-181
Journal / Publication	Journal of Sound and Vibration
Volume	312
Issue number	1-2
Publication status	Published - 22 Apr 2008

Link(s)

DOI	DOI https://doi.org/10.1016/j.jsv.2007.10.034 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-39049123164&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(79f4445b-d14e-4162-ad87-771269d1342f).html

Abstract

This paper presents an analytical study on the free and forced vibration of inhomogeneous Euler-Bernoulli beams containing open edge cracks. The beam is subjected to an axial compressive force and a concentrated transverse load moving along the longitudinal direction. The rotational spring model is used to model the crack causing sectional flexibility. The forced response is determined by employing modal series expansion technique. Analytical solutions of natural frequencies and dynamic deflections are obtained for cantilever, hinged-hinged, and clamped-clamped beams whose material properties follow an exponential through-thickness variation. Numerical results are given in both tabular and graphical forms. The effects of cracks, material property gradient, axial compression, and the speed of the moving load are discussed in detail in the parametric study. © 2007 Elsevier Ltd. All rights reserved.

Citation Format(s)

[ RIS ] [ BibTeX ]

Free and forced vibration of cracked inhomogeneous beams under an axial force and a moving load. / Yang, J.; Chen, Y.; Xiang, Y. et al.
In: Journal of Sound and Vibration, Vol. 312, No. 1-2, 22.04.2008, p. 166-181.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Yang, J, Chen, Y, Xiang, Y & Jia, XL 2008, 'Free and forced vibration of cracked inhomogeneous beams under an axial force and a moving load', Journal of Sound and Vibration, vol. 312, no. 1-2, pp. 166-181. https://doi.org/10.1016/j.jsv.2007.10.034

Yang, J., Chen, Y., Xiang, Y., & Jia, X. L. (2008). Free and forced vibration of cracked inhomogeneous beams under an axial force and a moving load. Journal of Sound and Vibration, 312(1-2), 166-181. https://doi.org/10.1016/j.jsv.2007.10.034

Yang J, Chen Y, Xiang Y, Jia XL. Free and forced vibration of cracked inhomogeneous beams under an axial force and a moving load. Journal of Sound and Vibration. 2008 Apr 22;312(1-2):166-181. doi: 10.1016/j.jsv.2007.10.034

Yang, J. ; Chen, Y. ; Xiang, Y. et al. / Free and forced vibration of cracked inhomogeneous beams under an axial force and a moving load. In: Journal of Sound and Vibration. 2008 ; Vol. 312, No. 1-2. pp. 166-181.