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Planar dynamics of large-deformation rods under moving loads

Zhao, XW; Van Der Heijden, G; (2018) Planar dynamics of large-deformation rods under moving loads. Journal of Sound and Vibration , 412 pp. 309-325. 10.1016/j.jsv.2017.09.037. Green open access

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Abstract

We formulate the problem of a slender structure (a rod) undergoing large deformation under the action of a moving mass or load motivated by inspection robots crawling along bridge cables or high-voltage power lines. The rod is described by means of geometrically exact Cosserat theory which allows for arbitrary planar flexural, extensional and shear deformations. The equations of motion are discretised using the generalised-α method. The formulation is shown to handle the discontinuities of the problem well. Application of the method to a cable and an arch problem reveals interesting nonlinear phenomena. For the cable problem we find that large deformations have a resonance detuning effect on cable dynamics. The problem also offers a compelling illustration of the Timoshenko paradox. For the arch problem we find a stabilising (delay) effect on the in-plane collapse of the arch, with failure suppressed entirely at sufficiently high speed.

Type: Article
Title: Planar dynamics of large-deformation rods under moving loads
Open access status: An open access version is available from UCL Discovery
DOI: 10.1016/j.jsv.2017.09.037
Publisher version: https://doi.org/10.1016/j.jsv.2017.09.037
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Cosserat rod, Large deformation, Shear deformation, Moving load, Generalised-α method, Jump discontinuity, Detuning effect, Timoshenko paradox, Delay effect, In-plane arch collapse
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/1575676
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