An optimal method is developed to estimate the dynamic loads for systems subjected to multiple inputs. The method focuses on minimizing the ensemble mean square error of the estimation. First, the inverse system analysis technique is employed to establish the error estimation equation. Then, by applying the noncausal Wiener filtering theory, the optimal estimator of dynamic loads is derived out. Numerical simulation work demonstrates that the method is of a good ability in suppressing the influence of measurement noises on estimation accuracy. Meanwhile, the simulating calculation of load estimation by a conventional method is also performed and the comparison of both results shows that the method proposed in this paper is rather effective and practicable for dynamic load estimation.

1.
Briggs
J. C.
, and
Tse
M. M.
,
1992
, “
Impact Force Identification Using Extracted Modal Parameters and Pattern Matching
,”
International Journal of Impact Engineering
, Vol.
12
, No.
3
, pp.
361
372
.
2.
Hansen, M., and Starkey, J. M., 1990, “On Predicting and Improving the Condition of Modal-Model-based Indirect Force Measurement Algorithms,” Proceedings, 8th International Modal Analysis Conference, Kissimmee, FL., pp. 115–120.
3.
Helstrom
C. W.
,
1967
, “
Image Restoration by the Method of Least Squares
,”
Journal of Optical Society of America
, Vol.
57
, No.
3
, pp.
297
303
.
4.
Inoue
H.
, et al.,
1992
, “
Estimation of Impact Load by Inverse Analysis
,”
JSME International Journal, Series I
, Vol.
35
, No.
4
, pp.
420
427
.
5.
Maia, N., 1989, “An Introduction to the Singular Value Decomposition Technique (SVD),” Proceedings, 7th International Modal Analysis Conference, Las Vegas, NV., pp. 338–339.
6.
Mitchell
L. D.
,
1982
, “
Improved Methods for the Fast Fourier Transform (FFT) Calculation of the Frequency Response Function
,”
ASME Journal of Mechanical Design
, Vol.
104
, pp.
277
279
.
7.
Papoulis, A., 1991, Probability, Random Variables, and Stochastic Processes, 3rd Edition, McGraw-Hill, Inc.
8.
Warwick, D. C., and Gilheany, J. J., 1993, “Dynamic Force Estimation via Modal Decomposition of Operational Response Measurements in a Multi-Source Environment,” Proceedings, 11th International Modal Analysis Conference, Kissimmee, FL., pp. 278–285.
This content is only available via PDF.
You do not currently have access to this content.