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TECHNICAL PAPERS

Dynamic Snap-Through of a Shallow Arch Under a Moving Point Load

[+] Author and Article Information
Jen-San Chen, Jian-San Lin

Department of Mechanical Engineering, National Taiwan University, Taipei, Taiwan 10617

J. Vib. Acoust 126(4), 514-519 (Dec 21, 2004) (6 pages) doi:10.1115/1.1804991 History: Received October 01, 2002; Revised March 01, 2004; Online December 21, 2004
Copyright © 2004 by ASME
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Figures

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Schematic diagram of a shallow arch under a moving point load
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Coordinate α1 as a function of load position e for an arch with h=8: (a) Q=18, (b) Q=20, and (c) Q=18.16
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Responses after the point load leaves the arch for the two speeds in Fig. 5: (a) c=2.4 and (b) c=2.6. The black dots signify the instant when the point load leaves the arch.
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Dangerous speed zone for an arch with h=8 and μ=0.001. The solid circle indicates that the arch will snap dynamically before settling to a stable equilibrium position. The open circle indicates that the arch will never snap.
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The thick lines are the dynamic responses for an arch with h=8, μ=0.001, and Q=18. The thin lines are the same quasi-static results as from Fig. 2(a).
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The thick lines are the dynamic responses for an arch with h=8,Q=25, and μ=0.001. The thin lines are the results from quasi-static analysis.
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Relation between load Q and position e when snap-through occurs: (a) h=8 and (b) h=3

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