Dynamic Snap-Through of a Shallow Arch under a Moving Point Load
Resource
ASME Journal of Vibration and Acoustics 126: 514-519
Journal
ASME Journal of
Journal Volume
Vibration
126
Journal Issue
4
Pages
514-519
Date Issued
2004
Date
2004
Author(s)
Lin, Jian-San
Abstract
In this paper we study dynamic behavior of a shallow arch under a point load Q traveling at a constant speed. Emphasis is placed on finding whether snap-through buckling will occur. In the quasi-static case when the moving speed is almost zero, there exists a critical load Q cr in the sense that no static snap-through will occur as long as Q is smaller than Qcr. In the dynamic case when the point load travels with a nonzero speed, the critical load Qcrd is, in general, smaller than the static one. When Q is greater than Qcrd, there exists a finite speed zone within which the arch runs the risk of dynamic snap-through either while the point load is still on the arch or after the point load leaves the arch. The boundary of this dangerous speed zone can be determined by a more conservative criterion, which employs the concept of total energy and critical energy barrier to guarantee the safe passage of the point load. This criterion requires the numerical integration of the equations of motion only up to the instant when the point load reaches the other end of the arch. Copyright © 2004 by ASME.
Other Subjects
Bifurcation (mathematics); Boundary conditions; Convergence of numerical methods; Differentiation (calculus); Equations of motion; Integration; Loads (forces); Speed; Convergence test; Dynamic stability; Moving point load; Shallow arch; Stability analysis; Arches
Type
journal article
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