A new method for the estimation of forces applied to a structure is presented. This time domain technique uses the structures response time history and returns an estimate of the applied force time history. This technique allows near-real-time estimation of input forces for non-collocated sensor/actuator pairs for multi-input/multi-output systems. Two examples are presented. The first is a single-input/single-output one-dimensional spring/mass chain in which a remote accelerometer is used to estimate an input force at one end. In the second example, the technique is used to estimate six docking forces and moments between the Space Shuttle and the Russian MIR Space Station during a numerical simulation of a docking event.

1.
Starkey
,
J. M.
, and
Merrill
,
G. L.
,
1989
, “
On the Ill-Conditioned Nature of Indirect Force-Measurement Techniques
,”
Journal of Modal Analysis
,
7
, pp.
103
108
.
2.
Groetsch, C. W., 1993, Inverse Problems in the Mathematical Sciences, Braunschweig, Vieweg, p. 152.
3.
Stevens, K. K., 1987, “Force Identification Problems - An Overview,” in SEM Spring Conference on Experimental Mechanics, Houston, Texas.
4.
Carne, T. G., Bateman, V. I., and Mayes, R. L., 1992, “Force Reconstruction Using a Sum of Weighted Accelerations Technique, 10th International Modal Analysis Conference, San Diego, Ca.
5.
Genaro, G., and Rade, D. A., 1998, “Input Force Identification in the Time Domain,” 16th International Modal Analysis Conference, Santa Barbara, California.
6.
Kammer, D. C., 1996, “Input Force Reconstruction Using a Time Domain Technique,” AIAA Dynamic Specialist Conference, Salt Lake City, Utah.
7.
Horta, L. G., and Sandridge, C. A., 1992, “On-Line Identification of Forward/Inverse Systems for Adaptive Control Applications,” Proceedings of the 1992 Guidance, Navigation and Control Conference.
8.
Mendel, J. M., 1990, Maximum-Likelihood Deconvolution, Springer-Verlag, New York, p. 227.
9.
Hu
,
Y. H.
and
Milenkovic
,
P. H.
,
1990
, “
A Fast Least-Square Deconvolution Algorithm for Vocal Tract Cross Section Estimation
,”
IEEE Trans. Acoust., Speech, Signal Process.
38
(
6
), pp.
921
924
.
10.
Juang, J.-N., 1994, Applied System Identification, 1 ed., Prentice Hall, Englewood Cliffs, New Jersey.
11.
Kammer
,
D. C.
,
1997
, “
Estimation of Structural Response Using Remote Sensor Locations
,”
J. Guid. Control Dyn.
20
(
3
), pp.
501
508
.
12.
Steltzner, A. D., 1999, “Input Force Estimation, Inverse Structural Systems and the Inverse Structural Filter,” Engineering Mechanics, University of Wisconsin, Madison, p. 210.
13.
Golub, G. H., and Loan, C. F. V., 1989, Matrix Computations, 2 ed., The Johns Hopkins University Press, Baltimore, p. 642.
14.
Haykin, S., 1996, Adaptive Filter Theory, 3 ed, Prentice Hall Information and System Science Series, T. Kailath, ed., Prentice Hall, Upper Saddle River, New Jersey.
You do not currently have access to this content.