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RESEARCH PAPERS

An Investigation of an Impact Vibration Absorber With Hysteresis Damping

[+] Author and Article Information
Shigeru Aoki

Department of Mechanical Engineering,  Tokyo Metropolitan College of Technology, 1-10-40 Higashi-Ohi, Shinagawa-ku, Tokyo 140-0011, Japanaoki@tokyo-tmct.ac.jp

Takeshi Watanabe

Department of Education and Human Sciences,  Yamanashi University, 4-4-37 Takeda, Kofu-City 400-8510, Japan

J. Pressure Vessel Technol 128(4), 508-515 (Feb 16, 2006) (8 pages) doi:10.1115/1.2349557 History: Received August 28, 2005; Revised February 16, 2006

The dynamic vibration absorber is a device for reducing the vibration of many structures and mechanical equipment. It consists of a small mass which is attached to the primary vibrating system or main mass. The impact damper is one of such dynamic vibration absorbers in which motion of auxiliary mass is limited by motion-limiting stop or placed inside a container. In this paper, in order to consider energy loss for an impact represented by the coefficient of restitution and duration of collision, an analytical model with hysteresis damping is introduced. Using this model, dynamic response of the system under harmonic and that under random excitations are analyzed. Some numerical results are shown.

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Copyright © 2006 by American Society of Mechanical Engineers
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Figures

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Figure 1

Analytical model

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Figure 2

Hysteresis loop characteristics

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Figure 3

Force of restitution

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Figure 4

Equivalent stiffness

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Figure 5

Resonance curve of the main system with hysteretic damping (γ=0.1, ω2∕ω1=1.0, K1∕k1=0.001,K2∕k1=0.003, F0∕k1e0=1.0)

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Figure 6

Resonance curve of the main system with hysteretic damping (γ=0.1, ω2∕ω1=1.0, K1∕k1=3, K2∕k1=10). (a) F0∕k1e0=1.0; (b) F0∕k1e0=0.5.

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Figure 7

Resonance curve of the main system with hysteretic damping (γ=0.25, ω2∕ω1=1.0, K1∕k1=3, K2∕k1=10). (a) F0∕k1e0=1.0; (b) F0∕k1e0=0.5.

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Figure 8

Resonance curve of the main system with hysteretic damping (ω2∕ω1=1.0, K1∕k1=3, K2∕k1=10, F0∕k1e0=0.06). (a) γ=0.1; (b) γ=0.25.

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Figure 9

Resonance curve of the main system without hysteretic damping (γ=0.1, ω2∕ω1=1.0, K1∕k1=K2∕k1=0.003F0∕k1e0=1.0)

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Figure 10

Resonance curve of the main system without hysteretic damping (γ=0.1, ω2∕ω1=1.0, K1∕k1=K2∕k1=3, F0∕k1e0=1.0)

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Figure 11

Resonance curve of the main system without hysteretic damping (γ=0.1, ω2∕ω1=1.0, K1∕k1=K2∕k1=3, F0∕k1e0=0.06)

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