An energy-based algorithm is developed for dynamic absorbers with adaptable stiffness to suppress structural vibrations via real-time parametric control actions. A controller with multi-objective fuzzy logic is created to reduce the main structure energy while constraining the total system energy. To ensure stability, an adaptive-passive supervisor is designed to provide guidelines for implementing the control law. It is proved that the system using this supervisor is globally stable in the sense that all signals involved are bounded. The performance of the controller is demonstrated on a beam example. It is shown that the structure energy level and vibration amplitude can be suppressed effectively.
Issue Section:
Research Papers
1.
Chang
C. H.
Soong
T. T.
1980
, “Structural Control using Active Tuned Mass Dampers
,” ASCE Journal of Engineering Mechanics
, Vol. 106
pp. 1091
–1099
.2.
Den Hartog, J. P., 1956, Mechanical Vibrations, McGraw-Hill, 4th edition, NY.
3.
Hrovat
D.
Barak
P.
Rabins
M.
1983
, “Semi-Active versus Passive or Active Tuned Mass Dampers For Structural Control
,” ASCE Journal of Engineering Mechanics
, Vol. 109
, No. 3
, pp. 691
–705
.4.
Inman, D. J., 1989, Vibration with Control, Measurement, and Stability, Prentice Hall.
5.
Kailath, T., 1980, Linear Systems, Prentice Hall.
6.
Lund, R. A., 1980, “Active Damping of Large Structure in Winds,” Structural Control, North Holland Publishing Company.
7.
Mianzo, L. A., 1992, “An Adaptable Vibration Absorber to Minimize Steady State and Transient Vibrations: An Analytical and Experimental Study,” M.S. Thesis, Penn State University.
8.
Nimura, T., Yokoyama, R., and Cory, B. J., 1993, “A Fuzzy Coordination Approach for Multi-Objective Voltage and Reactive Power Scheduling of an Electric Power System,” Proc. of IEEE International Conference on Fuzzy Systems, pp. 267–272.
9.
Okada
Y.
Okashita
R.
1990
, “Adaptive Control of an Active Mass Damper to Reduce Structural Vibration
,” JSME International Journal Series III
, Vol. 33
pp. 435
–440
.10.
Pedrycz, W., 1989, Fuzzy Control and Fuzzy Systems, Research Studies Press Ltd.
11.
Vidyasagar, M., 1978, Nonlinear System Analysis, Prentice Hall.
12.
Walsh
P. L.
Lamancusa
J. S.
1992
, “A Variable Stiffness Vibration Absorber for Minimization of Transient Vibrations
,” Journal of Sound and Vibration
, Vol. 158
, No. 2
, pp. 195
–211
.13.
Wang, K. W., Lamancusa, J. S., and Mianzo, L. A., 1992, “Adaptable Dynamic Absorbers for Transient and Steady-State Vibration Control,” Technical Report to Ben Franklin Technology Center, 91C-1156-R1.
14.
Wang
L.
1993
, “Stable Adaptive Fuzzy Control of Nonlinear Systems
,” IEEE Transactions on Fuzzy Systems
, Vol. 1
, No. 2
, pp. 146
–155
.15.
Yoshida
K.
Shimogo
T.
Nishimura
H.
1988
, “Optimal Control of Random Vibration by the Use of an Active Dynamic Vibration Absorber
,” JSME International Journal Series III
, Vol. 31
, No. 2
, pp. 387
–394
.
This content is only available via PDF.
Copyright © 1996
by The American Society of Mechanical Engineers
You do not currently have access to this content.