eprintid: 10189599
rev_number: 11
eprint_status: archive
userid: 699
dir: disk0/10/18/95/99
datestamp: 2024-03-25 17:29:16
lastmod: 2024-04-08 10:34:56
status_changed: 2024-03-25 17:29:16
type: article
metadata_visibility: show
sword_depositor: 699
creators_name: Zhao, Xingwei
creators_name: Van der Heijden, GHM
title: Out-of-plane instability and vibrations of a flexible circular arch under a moving load
ispublished: inpress
divisions: UCL
divisions: B04
divisions: C05
divisions: F44
keywords: Circular arch; out-of-plane buckling; large deformation; Cosserat rod; moving load; generalized-α method; delay effect.
note: This is an Open Access article under the terms of the Creative Commons Attribution 4.0 (CC BY) License which permits use,
distribution and reproduction in any medium, provided the original work is properly cited.
abstract: Flexible lightweight arched structures are finding increasing use as components in smart engineering applications. Such structures are prone to various types of instability under moving transverse loads. Here, we study deformation and vibration of a hinged circular arch under a uniformly moving point load using geometrically-exact rod theory to allow for large pre- and post-buckling deformations. We first consider the quasi-statics problem, without inertia. We find that for arches with relatively large opening angle (∼
160°) a sufficiently large traversing load will induce an out-of-plane flopping instability, instead of the in-plane collapse (snap-through) that dominates failure of arches with smaller opening angle. In a subsequent dynamics study, with full account of inertia, we then explore the effect of the speed of the load on this lateral buckling. We find speed to have a delaying (or even suppressing) effect on the onset of three-dimensional bending–torsional vibrations and instability. Based on numerical computations we propose a power law describing this effect. Our results highlight the role of inertia in the onset of elastic instability.
date: 2024-03-22
date_type: published
publisher: World Scientific Pub Co Pte Ltd
official_url: http://dx.doi.org/10.1142/s021945542550049x
oa_status: green
full_text_type: pub
language: eng
primo: open
primo_central: open_green
verified: verified_manual
elements_id: 2261257
doi: 10.1142/s021945542550049x
lyricists_name: Van Der Heijden, Gert
lyricists_id: GVANH52
actors_name: Flynn, Bernadette
actors_id: BFFLY94
actors_role: owner
full_text_status: public
publication: International Journal of Structural Stability and Dynamics
citation:        Zhao, Xingwei;    Van der Heijden, GHM;      (2024)    Out-of-plane instability and vibrations of a flexible circular arch under a moving load.                   International Journal of Structural Stability and Dynamics        10.1142/s021945542550049x <https://doi.org/10.1142/s021945542550049x>.    (In press).    Green open access   
 
document_url: https://discovery.ucl.ac.uk/id/eprint/10189599/1/Out-of-plane-instability-and-vibrations-of-a-flexible-circular-arch-under-a-moving-load.pdf