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TECHNICAL PAPERS

On the Secondary Resonance of a Spinning Disk Under Space-Fixed Excitations

[+] Author and Article Information
Jen-San Chen, Chin-Yi Hua, Chia-Min Sun

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

J. Vib. Acoust 126(3), 422-429 (Jul 30, 2004) (8 pages) doi:10.1115/1.1760562 History: Received June 01, 2001; Revised December 01, 2003; Online July 30, 2004
Copyright © 2004 by ASME
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References

Figures

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Natural frequency loci of a freely spinning disk
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Steady state solutions as functions of ς when γ=2ω0303̄+ες, where ω03=11.94,ω03̄=25.74, and ε=0.001. Other parameters are Ω=2.3, α=0.4, q03=10,000, and cf=0.2.
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(a) Time history and (b) the corresponding Poincare map when ς=8 for the combination resonance case in Fig. 2. The initial conditions are c03(0)=9.98 and ċ03(0)=121.57i.
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Steady state solutions as functions of ς when γ=1/2(ω0303̄)+ες, where ω03=11.94,ω03̄=25.74, and ε=0.001. Other parameters are Ω=2.3, α=0.4, q03=3000, and cf=0.2.
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Steady state solutions as functions of ς1 when γ=1/3ω03+ες103=14.13,ω03̄=23.55, ε=0.001. Other parameters are Ω=1.57, α=0.4, q03=10,000, and cf=0.2.
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(a) Time history and (b) the corresponding Poincare map when ς1=7 for the simultaneous resonance case in Fig. 5. The initial conditions are c03(0)=−4.96+i2.15 and ċ03(0)=−130.26+i50.83.
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(a) Time history and (b) the corresponding Poincare map when ς1=7 for the simultaneous resonance case in Fig. 5. The initial conditions are c03(0)=0 and ċ03(0)=0.
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Steady state solutions of simultaneous resonance as functions of loading parameter q03 when ς1=4

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