This paper addresses the transmission of unwanted vibrations in flexible structures by actively minimizing dynamic forces seen at critical locations within the structure. An adaptive truss serves as an active interface between the two isolated sides of the structure, and force-feedback within individual links of the truss is the governing control law. The use of an adaptive truss allows the problem to be viewed as a set of localized control problems with collocated sensors and actuators. This paper first discusses the ideal capabilities of force feedback for active vibration isolation, and then presents the analytical and experimental results of a case study which shows significant reduction in transmitted vibrations.

1.
Clark, W. W., Kimiavi B., and Robertshaw, H. H., 1989, “Control of Flexible Beams Using a Free-Free Active Truss,” Adaptive Structures, ASME, B. K. Wada, ed., pp. 61–68.
2.
Fanson, J. L., and Caughey, T. K., 1987, “Positive Position Feedback Control for Large Space Structures,” Proceedings of the 28th Structures, Structural Dynamics, and Materials Conference, pp. 588–598.
3.
Gevarter
W. B.
,
1970
, “
Basic Relations for Control of Flexible Vehicles
,”
AIAA Journal
, Vol.
8
, No.
4
, pp.
666
672
.
4.
Goh
C. J.
, and
Caughey
T. K.
,
1985
, “
On the stability problem caused by finite actuator dynamics in the collocated control of large space structures
,”
International Journal of Control
, Vol.
41
, No.
3
, pp.
787
802
.
5.
Kaplow
C. E.
, and
Velman
J. R.
,
1980
, “
Active Local Vibration Isolation Applied to a Flexible Space Telescope
,”
AIAA Journal of Guidance and Control
, Vol.
3
, pp.
227
233
.
6.
Mabie, H. H., and Reinholtz, C. F., 1987, Mechanisms and Dynamics of Machinery, Fourth Ed., Wiley, New York, NY.
7.
Martin, G. D., 1978, “On the Control of Flexible Mechanical Systems,” Ph.D. thesis, Stanford University.
8.
Miura, K., 1989, “Studies of Intelligent/Adaptive Structures,” Adaptive Structures, ASME AD-Vol. 15, edited by B. K. Wada, pp. 89–94.
9.
Meirovitch, L., 1970, Methods of Analytical Dynamics, McGraw-Hill, New York, NY.
10.
Robertshaw, H. H., Wynn, R., Kung, H., Hendricks, S., and Clark, W., 1989, “Dynamics and Control of a Spatial Active Truss Actuator,” Proceedings of the 30th Structures, Structural Dynamics, and Materials Conference, pp. 1473–1479.
11.
Scribner, K. B., 1990, “Active Narrow Band Vibration Isolation of Machinery Noise from Resonant Substructures,” M.S. thesis, Massachusetts Institute of Technology, Cambridge, MA.
12.
Sievers, L. A., and von Flotow, A. H., 1988, “Linear Control Design for Active Vibration Isolation of Narrow Band Disturbances,” Proceedings of the 27th Conference on Decision and Control, pp. 1032–1037.
13.
Thomson, W. T., 1981, Theory of Vibration with Applications, Second Ed., Prentice Hall, Englewood Cliffs, NJ.
14.
Wada, B., 1989, “Adaptive Structures,” Proceedings of the 30th Structures, Structural Dynamics, and Materials Conference, pp. 1–11.
15.
Wie, B., and Bryson, A. E., Jr., 1981, “Modelling and Control of Flexible Space Structures,” Proceedings of the 3rd VPI\&SU/AIAA Symposium on Dynamics and Control of Large Flexible Spacecraft, pp. 153–174.
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