TY  - INPR
PB  - World Scientific Pub Co Pte Ltd
JF  - International Journal of Structural Stability and Dynamics
A1  - Zhao, Xingwei
A1  - Van der Heijden, GHM
KW  - Circular arch; out-of-plane buckling; large deformation; Cosserat rod; moving load; generalized-? method; delay effect.
N1  - 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.
UR  - http://dx.doi.org/10.1142/s021945542550049x
ID  - discovery10189599
N2  - 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.
AV  - public
Y1  - 2024/03/22/
TI  - Out-of-plane instability and vibrations of a flexible circular arch under a moving load
ER  -