Stabilization of a Translating Tensioned Beam Through a Pointwise Control Force

[+] Author and Article Information
W. D. Zhu

University of Maryland Baltimore County, Baltimore, MD 21250

B. Z. Guo

Beijing Institute of Technology, Beijing, China

C. D. Mote

(Glenn L. Martin Institute Professor of Engineering) University of Maryland, College Park, MD 20742

J. Dyn. Sys., Meas., Control 122(2), 322-331 (Sep 09, 1998) (10 pages) doi:10.1115/1.482458 History: Received September 09, 1998
Copyright © 2000 by ASME
Your Session has timed out. Please sign back in to continue.


Yang,  B., and Mote,  C. D., 1991, “Active Vibration Control of the Axially Moving String in the S Domain,” ASME J. Appl. Mech., 58, pp. 189–196.
Yang,  B., and Mote,  C. D., 1991, “Frequency-Domain Vibration Control of Distributed Gyroscopic Systems,” ASME J. Dyn. Syst., Meas., Control, 113, pp. 18–25.
Rahn, C. D., 1992, “Parametric Control of Vibration in Flexible and Axially-Moving Material Systems,” Ph.D. dissertation, University of California at Berkeley.
Rahn,  C. D., and Mote,  C. D., 1994, “Parametric Control of Flexible Systems,” ASME J. Vibr. Acoust., 116, pp. 379–385.
Lee,  S. Y., and Mote,  C. D., 1996, “Vibration Control of an Axially Moving String by Boundary Control,” ASME J. Dyn. Syst., Meas., Control, 118, pp. 66–74.
Yang,  B., and Mote,  C. D., 1990, “Vibration Control of Band Saws: Theory and Experiment,” Wood Sci. Technol.,24, pp. 355–373.
Huang,  D., Fan,  Q., and Tan,  C. A., 1998, “Experimental Investigations on the Active Vibration Control of Chain Drives,” Noise Control Eng.,46, No. 4, pp. 139–145.
Zhu,  W. D., Mote,  C. D., and Guo,  B. Z., 1997, “Asymptotic Distribution of Eigenvalues of a Constrained Translating String,” ASME J. Appl. Mech., 64, pp. 613–619.
Chen,  G., 1979, “Energy Decay Estimates and Exact Boundary Value Controllability for the Wave Equation in Bounded Domain,” J. Math. Pures Appl., 58, pp. 249–273.
Chen, G., Krantz, S. G., Ma, D. W., Wayne, C. E., and West, H. H., 1987, “The Euler-Bernoulli Beam Equation with Boundary Energy Dissipation,” Lecture Notes in Pure and Applied Mathematics, Marcel Dekker, New York.
Liu,  K. S., 1988, “Energy Decay Problems in the Design of a Point Stabilizer for Coupled String Vibrating Systems,” SIAM J. Control Optim., 26, No. 6, pp. 1348–1355.
Chen,  G., Krantz,  S. G., Russell,  D. L., Wayne,  C. E., West,  H. H., and Coleman,  M. P., 1989, “Analysis, Designs, and Behavior of Dissipative Joints for Coupled Beams,” SIAM J. Appl. Math.,49, No. 6, pp. 1665–1693.
Wickert,  J. A., and Mote,  C. D., 1990, “Classical Vibration Analysis of Axially-Moving Continua,” ASME J. Appl. Mech., 57, pp. 738–744.
Yang, B., 1989, “Active Vibration Control of Axially Moving Materials,” Ph.D. dissertation, University of California at Berkeley, p. 62.
Hardy, G. H., and Wright, E. M., 1979, An Introduction to the Theory of Numbers, Fifth Edition, Oxford University Press, Oxford, UK.
Inman, D. J., 1994, Engineering Vibration, Prentice-Hall, pp. 333–336.
Wan, Frederick Y. M., 1995, Introduction to the Calculus of Variations and its Applications, Chapman & Hall.


Grahic Jump Location
Schematic of a constrained translating beam with mixed boundary conditions
Grahic Jump Location
Distribution of the first 20 eigenvalues for m=0,c=1,d=1/2, and N=20. Other parameters are: (a) ν=0.1, κ=5, and k=2 (“×”); (b) ν=0.5, κ=1, and k=0 (“+”).
Grahic Jump Location
Distribution of the first 20 eigenvalues for m=0,c=1,d=4/5, and N=20. Other parameters are: (a) ν=0.1, κ=5, and k=2 (“×”); (b) ν=0.5, κ=1, and k=0 (“+”).
Grahic Jump Location
Variation of the stability margin of the first N modes with the constraint location around the center location: (a) N=2, (b) N=10, (c) N=20, (d) N=40, and (e) N=80. Other parameters are the same as those in Fig. 2(a). The interval d∊[0.495,0.53] is divided into a mesh of 141 nodes.




Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In