This paper presents the modeling and analysis of a novel vibration suppression device. This reflector system exerts inertial forces, induced by tuned pendular motion, to control translational vibration of a primary system. Tuning of the reflector critically depends on the parameters of the pendula and on the rotational speed at which they are spun about an axis oriented parallel to the undesired motion. Consequently, one of its most appealing attributes is this devices’s ability to be tuned to, and thus actively track, the dominant frequency of disturbance forces. The paper describes how governing equations from an integrated physical model are developed using a bond graph approach and then used to derive relations applicable in design of an inertial reflector system. It is shown how the model supports component selection and tradeoff studies as well as simulation. Experimental results from testing of a laboratory realization of a prototype system are used to verify the design and to compare with simulation of a mathematical model. The results from the laboratory demonstrate the ability of the inertial reflector to control steady and transient vibration, and the favorable results suggest extended investigation for active vibration control situations. In particular, applications in low frequency vibration mitigation are promising.

1.
Yoshida, Y., 1987, “Development of a Centrifugal Pendulum Absorber for Reducing Ship Super-structure Vibration,” Vibration Control and Active Vibration Suppression, D. J. Inman, J. C. Simonis, eds., 11th Biennial Conference on Mechanical Vibration and Noise, Boston, Massachusetts, September 27-30, 1987, pp. 183–190.
2.
Reed
F. E.
,
1949
, “
The Use of the Centrifugal Pendulum for the Reduction of Linear Vibration
,”
ASME Journal of Applied Mechanics
, Vol.
16
, pp.
190
194
.
3.
Heinrich
G.
, and
Desoyer
K.
,
1959
, “
Zur Tilgung geradliniger Schwingungen mit Hilfe des Zentrifugalpendels
,”
Ingeniur-Archiv
, Vol.
28
, pp.
79
88
.
4.
Reznikov, L. M., 1979, “Studies of the Operation of a Centrifugal Pnedular Vibration Absorber,” Mashinovendeniye, No. 5, pp. 49–55 (in Russian).
5.
Korenev, B. G., and Reznikov, L. M., 1993, Dynamic Vibration Absorbers: Theory and Technical Applications, John Wiley and Sons, Chichester.
6.
Karnopp, D., Margolis, D., and Rosenberg, R., 1990, System Dynamics: A Unified Approach, Second Edition, Wiley-Interscience, New York.
7.
Beaman, J. J., and Paynter, H. M., 1995, Modeling of Physical Systems, Harper and Row Publishers (in progress).
8.
Karnopp
D.
,
1992
, “
An Approach to Derivative Causality in Bond Graph Models of Mechanical Systems
,”
Journal of the Franklin Institute
, Vol.
329
, No.
1
, pp.
65
75
.
9.
Allen
R. R.
, and
Dubowsky
S.
,
1977
, “
Mechanisms as Components of Dynamic Systems: A Bond Graph Approach
,”
ASME Journal of Engineering for Industry
, Vol.
99
, No.
1
, pp.
104
111
.
10.
Karnopp
D.
,
1978
, “
The Energetic Structure of Multibody Dynamic Systems
,”
Journal of the Franklin Institute
, Vol.
306
, No.
2
, pp.
165
181
.
11.
Karnopp
D.
, and
Margolis
D.
,
1979
, “
Analysis and Simulation of Planar Mechanism Systems Using Bond Graphs
,”
ASME JOURNAL OF MECHANICAL DESIGN
, Vol.
101
, pp.
187
191
.
12.
Johnson, R. C., 1961, Optimum Design of Mechanical Elements, John Wiley and Sons, New York.
13.
Narayanan, V. A., 1994, “Design of an Active Inertial Vibration Absorber for the Space Shuttle Cycle Ergometer,” MS Thesis, Department of Mechanical Engineering, The University of Texas at Austin, December.
This content is only available via PDF.
You do not currently have access to this content.