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.
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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 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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