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TECHNICAL PAPERS

Suppression of Parametric Resonance in Cantilever Beam With a Pendulum (Effect of Static Friction at the Supporting Point of the Pendulum)

[+] Author and Article Information
Hiroshi Yabuno

Institute of Engineering Mechanics, University of Tsukuba, Tsukuba City 305-8573, Japan

Tomohiko Murakami

Master’s Program in Science and Engineering at University of Tsukuba, Tsukuba City 305-8573, Japan

Jun Kawazoe

Mitsubishi Heavy Industry Corp., Fujisawa City 251-0876, Japan

Nobuharu Aoshima

Institute of Engineering Mechanics, University of Tsukuba, Tsukuba City 305-8573, Japan

J. Vib. Acoust 126(1), 149-162 (Feb 26, 2004) (14 pages) doi:10.1115/1.1596554 History: Received April 01, 2000; Revised February 01, 2003; Online February 26, 2004
Copyright © 2004 by ASME
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Figures

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Parametrically excited cantilever beam with pendulum
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Unstable region of parametric resonance
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Stabilization mechanisms
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Experimental unstable region (the pendulum is fixed at θ=0 at all times by adhesive)
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Parametrically excited cantilever beam in the case when the pendulum is fixed (Excitation condition II: N/2π=3.05 Hz,ab=3.00×10−3 m)
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Shift of the unstable region depending on the state of the pendulum  
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Suppression of parametric resonance by the effect of pendulum (Excitation condition I: N/2π=2.97 Hz,ab=3.00×10−3 m)
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Suppression of parametric resonance by the effect of pendulum (Excitation condition II: N/2π=3.05 Hz,ab=3.00×10−3 m)
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Photograph of the experimental apparatus used to measure static friction
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Pendulum on an inclined plane
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Time history in the case of excitation condition I under artificial disturbance (Excitation condition I: N/2π=2.97 Hz,ab=4.00×10−3 m)
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Expanded time history of the pendulum in the case of excitation condition I (the pendulum is always trapped by static friction)
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Expanded time history of the pendulum in the case of excitation condition II (the trapping and release of the pendulum by static friction are repeated)

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