A numerical investigation of snap-through in a shallow arch-like model
Slender curved structures may experience a loss of stability called snap-through, causing the curvature on part or all of the structure to invert inducing fatigue damage. This paper presents a framework for analyzing the transient responses of slender curved structures. A numerical study of snap-through in a shallow arch-like model under periodic excitations is performed on a simplified model and on a detailed finite element model. The boundaries that separate the snap-through and no snap-through regions in the forcing parameters space are identified. Various post-snap responses are analyzed. The effects of initial conditions on the snap-through boundaries and post-snap responses are examined. Forcing parameters that lead to chaotic response are identified.
Chandra, Yenny, Stanciulescu, Ilinca, Virgin, Lawrence N., et al.. "A numerical investigation of snap-through in a shallow arch-like model." Journal of Sound and Vibration, 332, no. 10 (2013) Elsevier: 2532-2548. http://dx.doi.org/10.1016/j.jsv.2012.12.019.