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TECHNICAL PAPERS

On the Nonlinear Response of a Flexible Connecting Rod

[+] Author and Article Information
Jen-San Chen, Chu-Hsian Chian

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

J. Mech. Des 125(4), 757-763 (Jan 22, 2004) (7 pages) doi:10.1115/1.1631571 History: Received March 01, 2002; Revised April 01, 2003; Online January 22, 2004
Copyright © 2003 by ASME
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References

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Figures

Grahic Jump Location
Schematic diagram of a slider-crank mechanism
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Bifurcation diagram for parameters ε=0.04, μ=0.0146, ms=0.5,a=0.05. The black circles and the open circles represent the results from the two-equation approach and the single-equation approach, respectively.
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Steady state vibration at Ω=0.52. The solid and dashed lines represent the solutions from two-equation and one-equation approaches, respectively. The chain line is the solution predicted by multiple scale method.
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Steady state vibration at Ω=0.8. The solid and dashed lines represent the solutions from two-equation and one-equation approaches, respectively. The chain line is the solution predicted by multiple scale method.
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A P-2 solution at Ω=0.95. The solid and dashed lines represent the solutions from two-equation and one-equation approaches, respectively.
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Amplitude of steady state vibration as a function of rotation speed. Black and open circles are obtained by Runge-Kutta calculation with two- and one-equation approaches, respectively. The solid line is the solution predicted by multiple scale method.
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Eigenvalues of the monodromy matrix. λ1 leaves the unit circle at Ω=0.9 and 1.02, at which λ1=−1.
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Amplitudes of steady state vibration as a function of rotation speed in the neighborhood of Ω=0.5. Open circles are obtained by Runge-Kutta calculation with one-equation approach. The solid lines are predicted by multiple scale method.

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