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TECHNICAL PAPERS

Effects of Crank Length on the Dynamics Behavior 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. Vib. Acoust 123(3), 318-323 (Dec 01, 2000) (6 pages) doi:10.1115/1.1368882 History: Received February 01, 2000; Revised December 01, 2000
Copyright © 2001 by ASME
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References

Figures

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Schematic diagram of a slider and crank mechanism
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Bifurcation diagram for crank length a=0.1. In the speed range 1.05<Ω<1.37 the solution is P-2.
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Amplitude of the steady state transverse deflection g for crank length a=0.1. Solid and dotted lines represent the results from nonlinear and linear strain formulations, respectively.
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Bifurcation diagram for crank length a=0.4. The response becomes chaotic when Ω>0.86. The left inset is the magnification of speed range 0.96<Ω<0.99.
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Two domains of attraction when Ω=0.43. The stable attractors are marked with black dots.
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Steady state vibrations of the two attractors in Fig. 5.
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Poincare map at Ω=0.9 after the solutions of the first 300 cycles are ignored. 60000 points are recorded in this map.
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Amplitude of the steady state transverse deflection g when crank length a=0.4. Solid and dotted lines represent the results from nonlinear and linear strain formulations, respectively.
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Bifurcation diagram for crank length a=0.6. The left inset is the magnification of speed range 0.51<Ω<0.64.
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Amplitude of the steady state transverse deflection g when crank length a=0.6. Solid and dotted lines represent the results from nonlinear and linear strain formulations, respectively.
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Comparison of results from various calculations. Line (1): g from one-mode approximation. Lines (2) and (3): g1 and g2 from two-mode approximation. Line (4): g from finite element calculation. The parameters used in the calculation are a=0.1,ms=0.1,ε=0.05,μ=0, and Ω=1.

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