A simple, yet efficient method is presented for the on-line vibration control of nonlinear, multidegree-of-freedom systems responding to arbitrary dynamic environments. The procedure uses nonlinear auxiliary mass dampers with adjustable motion-limiting stops located at selected positions throughout a given nonlinear system. A mathematical model of the system to be controlled is not needed for implementing the control algorithm. The degree of the primary structure oscillation near each vibration damper determines the damper’s actively-controlled gap size and activation time. By using control energy to adjust the damper parameters instead of directly attenuating the motion of the primary system, a significant improvement is achieved in the total amount of energy expended to accomplish a given level of vibration control. In a related paper, the direct method of Lyapunov is used to establish that the response of the controlled nonlinear primary structure is Lagrange stable. Numerical simulation studies of several example systems, as well as an experimental study with a mechanical model, demonstrate the feasibility, reliability, and robustness of the proposed semi-active control method.
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September 1989
Research Papers
Active Parameter Control of Nonlinear Vibrating Structures
S. F. Masri,
S. F. Masri
Department of Civil Engineering, University of Southern California, Los Angeles, Calif. 90089-0242
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R. K. Miller,
R. K. Miller
Department of Civil Engineering, University of Southern California, Los Angeles, Calif. 90089-0242
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T. J. Dehghanyar,
T. J. Dehghanyar
Department of Civil Engineering, University of Southern California, Los Angeles, Calif. 90089-0242
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T. K. Caughey
T. K. Caughey
Division of Engineering and Applied Science, California Institute of Technology, Pasadena, Calif. 91106
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S. F. Masri
Department of Civil Engineering, University of Southern California, Los Angeles, Calif. 90089-0242
R. K. Miller
Department of Civil Engineering, University of Southern California, Los Angeles, Calif. 90089-0242
T. J. Dehghanyar
Department of Civil Engineering, University of Southern California, Los Angeles, Calif. 90089-0242
T. K. Caughey
Division of Engineering and Applied Science, California Institute of Technology, Pasadena, Calif. 91106
J. Appl. Mech. Sep 1989, 56(3): 658-666 (9 pages)
Published Online: September 1, 1989
Article history
Received:
May 26, 1988
Revised:
September 21, 1988
Online:
July 21, 2009
Citation
Masri, S. F., Miller, R. K., Dehghanyar, T. J., and Caughey, T. K. (September 1, 1989). "Active Parameter Control of Nonlinear Vibrating Structures." ASME. J. Appl. Mech. September 1989; 56(3): 658–666. https://doi.org/10.1115/1.3176143
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