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TECHNICAL PAPERS

Coupled Torsion-Lateral Stability of a Shaft-Disk System Driven Through a Universal Joint

[+] Author and Article Information
H. A. DeSmidt, K. W. Wang, E. C. Smith

The Pennsylvania State University, 157 Hammond Building, University Park, PA 16802

J. Appl. Mech 69(3), 261-273 (May 03, 2002) (13 pages) doi:10.1115/1.1460907 History: Received February 15, 2001; Revised October 03, 2001; Online May 03, 2002
Copyright © 2002 by ASME
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References

Iwatsubo,  T., and Saigo,  M., 1984, “Transverse Vibration of a Rotor System Driven by a Cardan Joint,” J. Sound Vib., 95, pp. 9–18.
Mazzei,  A. J., Argento,  A., and Scott,  R. A., 1999, “Dynamic Stability of a Rotating Shaft Driven Through a Universal Joint,” J. Sound Vib., 222, pp. 19–47.
Rosenberg,  R. M., 1958, “On the Dynamical Behavior of Rotating Shafts Driven by Universal (Hooke) Coupling,” ASME J. Appl. Mech., 25, pp. 47–51.
Xu,  M., and Marangoni,  R. D., 1994, “Vibration Analysis of a Motor-Flexible Coupling-Rotor System Subjected to Misalignment and Unbalance. Part I: Theoretical Model and Analysis,” J. Sound Vib., 176, pp. 663–679.
Xu,  M., and Marangoni,  R. D., 1994, “Vibration Analysis of a Motor-Flexible Coupling-Rotor System Subjected to Misalignment and Unbalance. Part II: Experimental Validation,” J. Sound Vib., 176, pp. 681–691.
Kato,  M., and Ota,  H., 1990, “Lateral Excitation of a Rotating Shaft Driven by a Universal Joint With Friction,” ASME J. Vibr. Acoust., 112, pp. 298–303.
Asokanthan,  S. F., and Hwang,  M. C., 1996, “Torsional Instabilities in a System Incorporating a Hooke’s Joint,” ASME J. Vibr. Acoust., 118, pp. 368–374.
Asokanthan,  S. F., and Wang,  X. H., 1996, “Characterization of Torsional Instabilities in a Hooke’s Joint Driven System via Maximal Lyapunov Exponents,” J. Sound Vib., 194, pp. 83–91.
Bolotin, V. V., 1963, Nonconservative Problems of the Theory of Elastic Stability, Pergamon Press, New York.
Hsu,  C. S., 1963, “On the Parametric Excitation of a Dynamic System Having Multiple Degrees of Freedom,” ASME J. Appl. Mech., 30, pp. 367–372.
Hsu,  C. S., 1965, “Further Results on Parametric Excitation of a Dynamic System,” ASME J. Appl. Mech., 32, pp. 373–377.

Figures

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Misaligned shaft and disk driven through a U-joint
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Projected slopes v3 and ω2 and driven shaft spin angle, ϕ2 from {n} to {b}
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Driving shaft spin angle, ϕ, and Euler angles α and β from {n} to {b}
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τ-f stability boundary with no misalignment. δ23=0 deg, λ=0.4, Δ=3, εs=0.05,ld=0.5, μ=0.1, γ=10, cd=0.0.
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τ-f stability boundary for several misalignments. λ=0.4, Δ=3, εs=0.05,ld=0.5, μ=0.1, γ=10, cd=0.0.
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τ-f stability boundary for several misalignments. λ=0.4, Δ=3, εs=0.05,ld=0.5, μ=0.1, γ=10, cd=0.0.
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τ-f stability boundary for several λ. δ2=2.0 deg3=0.0 deg, Δ=3, εs=0.05,ld=0.5, μ=0.1, γ=10, cd=0.0.
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Required auxiliary damping for stability versus shaft speed for several τ. ζ=0.005, λ=0.4, Δ=3, εs=0.05,ld=0.5, μ=0.1, γ=10.
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Maximum required auxiliary damping for stability versus misalignment for several τ. f=f4, λλ=0.4, ζ=0.005, Δ=3, εs=0.05,ld=0.5, μ=0.1 γ=10.
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Maximum required auxiliary damping for stability versus misalignment for several γ. f=f4, λ=0.4, ζ=0.005, Δ=3, εs=0.05,ld=0.5, μ=0.1.
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Numerical and perturbation solution. f=f4, ζ=0.005, λ=0.2, Δ=3, εs=0.05,ld=0.5, μ=0.1, γ=10.

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