Regularization in Moving Force Identification
Publication: Journal of Engineering Mechanics
Volume 127, Issue 2
Abstract
Several methods have been developed to identify forces moving on a beam from measured responses. The results from all of them exhibit fluctuations at the beginning and end of the time history, and they are results of the ill-conditioned inverse problem. This paper includes a regularization method in the solution of the problem with the aim to explore the feasibility of collecting vehicle weight in the weigh-in-motion application. The improvements through regularization to the identified forces using different measured responses are studied with simulation, and the identified forces in the laboratory study obtained from two different existing moving force identification methods are compared. The studies show that the indirect estimation of vehicle weight from dynamic responses is feasible, and further improvements could be achieved with preprocessing of the measured data to reduce the measurement noise.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Bendat, J. S., and Piersol, A. G. ( 1993). Engineering application of correlation and spectral analysis, 2nd Ed., Wiley, New York.
2.
Busby, H. R., and Trujillo, D. M. ( 1997). “Optimal regularization of an inverse dynamics problem.” Comp. and Struct., 63(2), 243–248.
3.
Cantineni, R. ( 1992). “Dynamic behaviour of highway bridges under the passage of heavy vehicles.” EMPA Rep. No. 220, Swiss Federal Laboratories for Materials Testing and Research.
4.
Chan, T. H. T., Law, S. S., Yung, T. H., and Yuan, X. R. ( 1998). “An interpretive method for moving force identification.” J. Sound and Vibration, 219(3), 503–524.
5.
Choi, K. Y., and Chang, F. K. ( 1996). “Identification of impact force and location using distributed sensors.” AIAA J., 34(1), 136–142.
6.
Fierro, R. D., Golub, G. H., Hansen, P. C., and O'Leary, D. P. ( 1997). “Regularization by truncated total least squares.” SIAM J. of Scientific Computing, 18(4), 1223–1241.
7.
Green M. F., and Cebon, D. ( 1994). “Dynamic response of highway bridges to heavy vehicle loads: Theory and experimental validation.” J. Sound and Vibration, 170(1), 51–78.
8.
Hansen, P. C. ( 1992). “Analysis of discrete ill-posed problems by means of the L-curve.” SIAM Rev., 34(4), 561–580.
9.
Heywood, R. J. ( 1994). “Influence of truck suspensions on the dynamic response of a short span bridge.” Int. J. Vehicle Des.
10.
Henchi, K., Fafard, M., Talbot, M., and Dhatt, G. ( 1998). “An efficient algorithm for dynamic analysis of bridges under moving vehicles using a coupled modal and physical components approach.” J. Sound and Vibration, 212(4), 663–683.
11.
Law, S. S., Chan, T. H. T., and Zeng, Q. H. ( 1997). “Moving force identification: A time domain method.” J. Sound and Vibration, 201(1), 1–22.
12.
Law, S. S., Chan, T. H. T., and Zeng, Q. H. ( 1999). “Moving force identification: A frequency and time domains analysis.” J. Dyn. Sys., Measurement and Control ASME, 12(3), 394–401.
13.
Morozov, V. A. ( 1984). Methods for solving incorrectly posed problems, Springer, Berlin, 1–64.
14.
Peters, R. J. ( 1984). “A system to obtain vehicle axle weights.” Proc., 12th ARRB Conf., 12(2), 10–18.
15.
Peters, R. J. ( 1986). “An unmanned and undetectable highway speed vehicle weighing system.” Proc., 13th ARRB and 5th REAAA Combined Conf., Part 6, 70–83.
16.
Santantamarina, J. C., and Fratta, D. ( 1998). Introduction to discrete signals and inverse problems in civil engineering, ASCE, Reston, Va., 200–238.
17.
Tikhonov, A. N., and Arsenin, V. Y. ( 1977). Solution of ill-posed problems, Wiley, New York.
18.
Yang, Y. B., and Yau, J. D. (1997). “Vehicle-bridge interaction element for dynamic analysis.”J. Struct. Engrg., ASCE, 123(11), 1512–1518.
19.
Yuan, X. R., Chen, E. L., and Young, S. P. ( 1998). “Moving force identification from responses of an orthrotropic plate.” J. Vibration, Measurement and Diagnosis, 18(3), 201–205.
20.
Zhang, F. ( 1994). “Time domain methods for identifying dynamic loads.” Master's thesis, Dept. of Aircraft Engrg., Nanjing University of Aeronautics and Astronautics, Nanjing, China.
21.
Zhu, X. Q., and Law, S. S. ( 1999). “Moving forces identification on a multi-span continuous bridge.” J. Sound and Vibration, 228(2), 377–396.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 127 • Issue 2 • February 2001
Pages: 136 - 148
History
Received: Oct 29, 1997
Published online: Feb 1, 2001
Published in print: Feb 2001
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.