Browsing by Author "Eason, Thomas G."
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Item A numerical investigation of snap-through in a shallow arch-like model(Elsevier, 2013) Chandra, Yenny; Stanciulescu, Ilinca; Virgin, Lawrence N.; Eason, Thomas G.; Spottswood, Stephen M.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.Item Characterizing Dynamic Transitions Associated with Snap-Through of Clamped Shallow Arches(Elsevier, 2013) Chandra, Yenny; Wiebe, Richard; Stanciulescu, Ilinca; Virgin, Lawrence N.; Spottswood, Stephen M.; Eason, Thomas G.Slender curved structures can often be found as components of complex structures in civil, mechanical, and aerospace systems. Under extreme loadings, a curved structure might undergo snap-through buckling, i.e., the structure is forced to its inverted configuration, inducing fatigue. Therefore, it is important to identify the stability boundaries of structures and to obtain an accurate description of their performance if the response moves beyond those boundaries. In this paper, a combined experimentalヨcomputational framework is used to analyze the transient behavior of clamped-clamped shallow arches. We examine, both experimentally and using Finite Element Analysis (FEA), the response of shallow arches under harmonic distributed loading. Various types of responses are identified and regions in the forcing parameter space that lead to snap-through and chaotic responses are determined.