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TECHNICAL PAPERS

Rotating Tapered Composite Shafts: Forced Torsional and Extensional Motions and Static Strength

[+] Author and Article Information
W. Kim, A. Argento

Department of Mechanical Engineering, University of Michigan-Dearborn, Dearborn, MI 48128

R. A. Scott

Department of Mechanical Engineering, University of Michigan, Ann Arbor, Michigan 48109e-mail: car@umich.edu

J. Vib. Acoust 123(1), 24-29 (Jul 01, 2000) (6 pages) doi:10.1115/1.1315594 History: Received August 01, 1999; Revised July 01, 2000
Copyright © 2001 by ASME
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References

Kim,  W., Argento,  A., and Scott,  R. A., 1999, “Free Vibration of a Rotating Tapered Composite Timoshenko Shaft,” J. Sound Vib., 226, pp. 125–147.
Kim, W., Argento, A., and Scott, R. A., 1999, “Forced Vibration and Dynamic Stability of a Rotating Tapered Composite Timoshenko Shaft,” ASME Design Engineering Technical Conferences DETC99/VIB-8145, September 12–15, Las Vegas, Nevada.
Elwany,  M. H. S., and Barr,  A. D. S., 1978, “Some Optimization Problems in Torsional Vibration,” J. Sound Vib., 57, pp. 1–33.
Baker, J. R., and Rouch, K. E., 1993, “Torsional Vibration Analysis of Shafts with Sections of Tapered Diameter,” ASME Design Technical Conferences, Vibration of Rotating Systems, Albuquerque, New Mexico, September 19–22, DE-Vol. 60, pp. 55–65.
Greenhill,  L. M., Bickford,  W. B., and Nelson,  H. D., 1985, “A Conical Beam Finite Element for Rotor Dynamics Analysis,” Journal of Vibration, Acoustics, Stress, and Reliability in Design, 107, pp. 421–430.
Taber,  L. A., and Viano,  D. C., 1982, “Comparison of Analytical and Experimental Results for Free Vibration of Non-uniform Composite Beams,” J. Sound Vib., 83, pp. 219–228.
Horgan,  C. O., and Baxter,  S. C., 1996, “Effects of Curvilinear Anisotropy on Radially Symmetric Stresses in Anisotropic Linearly Elastic Solids,” J. Elast., 42, pp. 31–48.
Tutuncu,  N., 1995, “Radial Stresses in Composite Thick-Walled Shafts,” ASME J. Appl. Mech., 62, pp. 547–549.
Zheng,  L., Chiou,  Y. S., and Liang,  S. Y., 1996, “Three Dimensional Cutting Force Analysis in End Milling,” Int. J. Mech. Sci., 38, pp. 259–269.
Smith,  S., and Tlusty,  J., 1991, “An Overview of Modeling and Simulation of the Milling Process,” J. Eng. Ind., 113, pp. 169–175.
Kim, W., 1999, “Vibration of a Rotating Tapered Composite Shaft and Applications to High Speed Cutting,” Ph.D. dissertation, University of Michigan, Ann Arbor, MI.
Subramani,  G., Kapoor,  S. G., and DeVor,  R. E., 1993, “A Model for the Prediction of Bore Cylindricity During Machining,” J. Eng. Ind., 115, pp. 15–22.
Gibson, R. F., 1994, Principles of Composite Material Mechanics, McGraw-Hill, New York, Chapter 4.
Lapp, C. K., 1998, “Design Allowables Substantiation,” in Handbook of Composites, S. T. Peters, ed., Chapman & Hall, New York, second ed., Chap. 33.

Figures

Grahic Jump Location
Single lamina of a tapered, filament-wound composite shaft
Grahic Jump Location
Tapered composite (0°) shaft with steel core (not drawn to scale): L=240 mm,tc=6 mm,ts=4.8 mm,b1=27.2 mm,b2=12.8 mm.
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Steady-state extensional displacements at z=L of the tapered steel/0°composite shaft in end-milling (damping ratio, ζ=0.03): (a) Non-zero σr and σθ case, (b) Zero σr and σθ case.
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Steady-state twisting angles at z=L in end-milling: (a) Tapered steel/0°composite shaft (ζ=0.03), (b) Nontapered steel shaft (ζ=0.02).
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Stresses in the principal material directions: the steel/(902/010/±202/08/∓202/010/902)composite shaft (θ=z=0, Ω=1000 rad/s) in boring.

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