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Article

Nonlinear Vibration of Sheet Metal Plates Under Interacting Parametric and External Excitation During Manufacturing

[+] Author and Article Information
Chung Hwan Kim

Samsung Electronics Co., Ltd, Maetan 3-Dong, Suwon, Gyeonggi-Do 442-742, Koreae-mail: ch74.kim@samsung.com

Chong-Won Lee

Center for Noise and Vibration Control (NOVIC), Department of Mechanical Engineering KAIST, Science Town, Daejeon 305-701, Koreae-mail: cwlee@novic.kaist.ac.kr

N. C. Perkins

Mechanical Engineering, The University of Michigan, Ann Arbor, Michigan 48109-2125e-mail: ncp@umich.edu

J. Vib. Acoust 127(1), 36-43 (Mar 21, 2005) (8 pages) doi:10.1115/1.1857924 History: Received May 24, 2003; Revised December 23, 2003; Online March 21, 2005
Copyright © 2005 by ASME
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Figures

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Power spectra of the response obtained from the simulation results of the cubic nonlinear single degree-of-freedom plate model with parametric excitation having a frequency of 2ω0 and (a) without external excitation, (b) ωr/2π=2.5 Hz, (c) ωr/2π=3.0 Hz, (d) ωr/2π=3.5 Hz
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Frequency-response curves: single frequency parametric excitation in the neighborhood of ω≈2ω0 and single frequency external excitation at ωr
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Frequency-response curves: single frequency parametric excitation in the neighborhood of ω≈ωr±ω0 and single frequency external excitation at frequencies ωr;K1=0.054 and K2=0.017
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Evolution of the amplitude and phase to the steady-state solution: triple-frequency parametric excitation and a single-frequency external excitation
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(a) Amplitude and (b) phase of frequency-response: triple-frequency parametric excitation with φ123=0 and a single-frequency external excitation
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Frequency-response curves for double-frequency parametric excitation and a single-frequency external excitation for (a) φ1=0,φ2=0; (b) φ1=0,φ2=π/2; (c) φ1=0,φ2=π; (d) φ1=π/2,φ2=0. (e) φ1=π,φ2=0; (f) φ1=3π/2,φ2=0; (g) φ1=2π,φ2=0.
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Response amplitude vs φ1 and φ2
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Time-frequency map of vibration data 2
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Time-frequency map of dynamic tension data 2. Enlarged sections of the data in the lower half are shown in the upper half for the three resonance regions, 2fn,fn+fr, and fn−fr.
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Frequency-response curves for triple-frequency parametric excitation and a single-frequency external excitation for (a) (φ123)=(0,π/2,0), (0,0,π/2); (b) (φ123)=(0,3π/2,0), (0,0,3π/2); (c) (φ123)=(π/2,0,0); (d) (φ123)=(3π/2,0,0)

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