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Vibrations of beams and rods carrying a moving mass

Zhao, XW; van der Heijden, GHM; Hu, ZD; (2016) Vibrations of beams and rods carrying a moving mass. Journal of Physics: Conference Series , 721 , Article 012016. 10.1088/1742-6596/721/1/012016. Green open access

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Abstract

We study the vibration of slender one-dimensional elastic structures (beams, cables, wires, rods) under the effect of a moving mass or load. We first consider the classical small- deflection (Euler-Bernoulli) beam case, where we look at tip vibrations of a cantilever as a model for a barreled launch system. Then we develop a theory for large deformations based on Cosserat rod theory. We illustrate the effect of moving loads on large-deformation structures with a few cable and arch problems. Large deformations are found to have a resonance detuning effect on the cable. For the arch we find different failure modes depending on its depth: a shallow arch fails by in-plane collapse, while a deep arch fails by sideways flopping. In both cases the speed of the traversing load is found to have a stabilising effect on the structure, with failure suppressed entirely at sufficiently high speed.

Type: Article
Title: Vibrations of beams and rods carrying a moving mass
Open access status: An open access version is available from UCL Discovery
DOI: 10.1088/1742-6596/721/1/012016
Publisher version: http://dx.doi.org/10.1088/1742-6596/721/1/012016
Language: English
Additional information: Presented at the 5th Symposium on the Mechanics of Slender Structures (MoSS2015), 21–22 September 2015, Northampton, UK. Open Access: Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence (CC BY 3.0) (https://creativecommons.org/licenses/by/3.0/). Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
UCL classification: UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Civil, Environ and Geomatic Eng
URI: https://discovery.ucl.ac.uk/id/eprint/1501069
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