Moving Loads Identification Through Regularization
Publication: Journal of Engineering Mechanics
Volume 128, Issue 9
Abstract
This paper presents a time domain method to identify moving loads on a continuous beam from the measured structural vibration response. The method gives very accurate solutions for the forces with an improved formulation over existing methods for more efficient computation. A regularization technique is used to provide bounds on the solution. Numerical examples demonstrate that a larger number of modes should be included in the identification when accelerations are used instead of strains, and much better results can be obtained from the proposed method than from existing methods.
Get full access to this article
View all available purchase options and get full access to this article.
References
Chan, T. H. T., Law, S. S., Yung, T. H., and Yuan, X. R.(1999). “An interpretive method for moving force identification.” J. Sound Vib., 219, 503–524.
Choi, K. Y., and Chang, F. K.(1996). “Identification of impact force and location using distributed sensors.” AIAA J., 34(1), 136–142.
Fryba, L. (1972). Vibration of solids and structures under moving loads, Noordhoff International, Groningen, The Netherlands.
Golub, G. H., Heath, M., and Wahaba, G.(1979). “Generalized cross validation as a method for choosing a good ridge parameter.” Technometrics, 21, 215–223.
Hansen, P. C.(1990). “The discrete Picard condition for discrete ill-posed problems.” BIT, 30, 658–672.
Hansen, P. C.(1992). “Analysis of discrete ill-posed problems by means of the L curve.” SIAM Rev., 34, 561–580.
Hansen, P. C., and O’Leavy, D. P.(1993). “The use of the L curve in the regularization of discrete ill-posed problems.” SIAM J. Sci. Comput. (USA), 14, 1487–1503.
Hayashikawa, T., and Watanabe, N.(1981). “Dynamic behavior of continuous beams with moving loads.” J. Eng. Mech. Div., 107(1), 229–246.
Henchi, K., Fafard, M., Dhatt, G., and Talbot, M.(1997). “Dynamic behavior of multispan beams under moving loads.” J. Sound Vib., 199, 33–50.
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 Vib., 212, 663–683.
International Standards Organization (ISO) (1995). “Mechanical vibration, road surface profiles, Reporting of measured data.” International Standards Organization, 8608E.
Law, S. S., Chan, T. H. T., and Zeng, Q. H.(1997). “Moving force identification: A time domain method.” J. Sound Vib., 201, 1–22.
Law, S. S., Chan, T. H. T., and Zeng, Q. H.(1999). “Moving force identification: A frequency and time domain analysis.” ASME J. Dyn. Syst., Meas., Control, 12, 394–401.
Law, S. S., Chan, T. H. T., Zhu, X. Q., and Zeng, Q. H.(2001). “Regularization in moving force identification.” J. Eng. Mech., 127(2), 136–148.
Lee, H. P.(1994). “Dynamic responses of a beam with intermediate point constraints subject to a moving load.” J. Sound Vib., 171, 361–368.
Mulcahy, N. Lex(1983). “Bridge response with tractor-trailer vehicle loading.” Earthquake Eng. Struct. Dyn., 11, 649–665.
O’Connor, C., and Chan, T. H. T.(1988). “Dynamic wheel loads from bridge strains.” J. Struct. Eng., 114(8), 1703–1723.
Santantamarina, J. C., and Fratta, D. (1998). Introduction to discrete signals and inverse problems in civil engineering, ASCE, Reston, Va., 200–238.
Wang, R. T.(1997). “Vibration of multispan Timoshenko beams to a moving force.” J. Sound Vib., 207, 731–742.
Wu, J. S., and Dai, C. W.(1987). “Dynamic responses of multispan nonuniform beam due to moving loads.” J. Struct. Eng., 123(3), 458–474.
Zheng, D. Y., Cheung, Y. K., Au, F. T. K., and Cheng, Y. S.(1998). “Vibration of multispan nonuniform beams under moving loads by using modified beam vibration functions.” J. Sound Vib., 212, 455–467.
Zhu, X. Q., and Law, S. S.(1999). “Moving forces identification on a multispan continuous bridge.” J. Sound Vib., 228, 377–396.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 128 • Issue 9 • September 2002
Pages: 989 - 1000
Copyright
Copyright © 2002 American Society of Civil Engineers.
History
Received: Jul 13, 2000
Accepted: Jan 31, 2002
Published online: Aug 15, 2002
Published in print: Sep 2002
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.