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TECHNICAL BRIEFS

Energetics and Conserved Functional of Axially Moving Materials Undergoing Transverse Nonlinear Vibration

[+] Author and Article Information
Li-Qun Chen

Department of Mechanics & Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, 200436, China

Jean W. Zu

Department of Mechanical & Industrial Engineering, University of Toronto, Toronto, Ontario, M5S 3G8, Canada

J. Vib. Acoust 126(3), 452-455 (Jul 30, 2004) (4 pages) doi:10.1115/1.1760557 History: Received February 01, 2003; Revised November 01, 2003; Online July 30, 2004

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References

Wickert,  J. A., and Mote,  C. D., 1988, “Current Research on the Vibration and Stability of Axially-Moving Materials,” Shock Vib. Dig., 20(5), pp. 3–13.
Chen,  L. Q., and Zu,  J. W., 2001, “Transverse Vibration of Axially Moving Strings and Its Control,” Advance in Mechanics,31, pp. 535–546.
Chen,  L. Q., “Analysis And Control of Transverse Vibrations of Axially Moving Strings,” Appl. Mech. Rev., in press.
Chubachi,  T., 1958, “Lateral Vibration of Axially Moving Wire or Belt Materials,” Bull. JSME, 1(1), pp. 24–29.
Miranker,  W. L., 1960, “The Wave Equation in a Medium in Motion,” IBM J. Res. Dev., 4(1), pp. 36–42.
Barakat,  R., 1968, “Transverse Vibrations of a Moving Thin Rod,” J. Acoust. Soc. Am., 43, pp. 533–539.
Tabarrok,  B., Leech,  C. M., and Kim,  Y. I., 1974, “On the Dynamics of Axially Moving Beams,” J. Franklin Inst., 279, pp. 201–220.
Wickert,  J. A., and Mote,  C. D., 1989, “On the Energetics of Axially Moving Continua,” J. Acoust. Soc. Am., 85, pp. 1365–1368.
Renshaw,  A. A., 1997, “The Energetics of Winched Strings,” ASME J. Vibr. Acoust., 119, pp. 643–644.
Lee,  S. Y., and Mote,  C. D., 1997, “A Generalized Treatment of the Energetics of Translating Continua, Part 1: Strings and Second Order Tensioned Pipes,” J. Sound Vib., 204, pp. 717–734.
Lee,  S. Y., and Mote,  C. D., 1997, “A Generalized Treatment of the Energetics of Translating Continua, Part 2: Beams and Fluid Conveying Pipes,” J. Sound Vib., 204, pp. 735–753.
Renshaw,  A. A., Rahn,  C. D., Wickert,  J. A., and Mote,  C. D., 1998, “Energy and Conserved Functionals for Axially Moving Materials,” ASME J. Vibr. Acoust., 120, pp. 634–636.
Zhu,  W. D., and Ni,  J., 2000, “Energetics and Stability of Translating Media With an Arbitrarily Varying Length,” ASME J. Vibr. Acoust., 122, pp. 295–304.
Luo, A. H., Guo, B. Z., and Morgul, O., 1999, Stability and Stabilization of Infinite Dimensional Systems With Applications, Stringer-Verlag, New York.
Queiroz, M. A., Dawson, D. M., Nagarkatti, S. P., and Zhang, F., 2000, Lyapunov-Based Control of Mechanical Systems, Birkhauser, Boston.
Mote,  C. D., 1966, “On the Nonlinear Oscillation of an Axially Moving String,” ASME J. Appl. Mech., 33, pp. 463–464.
Thurman,  A. L., and Mote,  C. D., 1969, “Free, Periodic, Nonlinear Oscillation of an Axially Moving Strip,” ASME J. Appl. Mech., 36, pp. 83–91.

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