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Engineering Structures
Volume 26, Issue 8, July 2004, Pages 1143-1153
 
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doi:10.1016/j.engstruct.2004.03.017    
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Copyright © 2004 Elsevier Ltd. All rights reserved.

Vehicle axle loads identification using finite element method

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S. S. LawCorresponding Author Contact Information, E-mail The Corresponding Author, a, J. Q. Bub, X. Q. Zhua and S. L. Chana

a Civil and Structure Engineering Department, Hong Kong Polytechnic University, Hunghom, Hong Kong, China

b Shijiazhuang Railway Institute, Shijiazhuang, Hebei, China


Received 10 December 2003; 
Revised 23 March 2004; 
accepted 25 March 2004. 
Available online 11 May 2004.

Abstract

Existing methods on moving force identification are usually based on modal decomposition and are subject to modal truncation error in the dynamic responses. A new moving load identification method is presented basing on finite element method and condensation technique. The measured displacements are formulated as the shape functions of the finite elements of the structure which is modeled as a straight beam. The measured responses can be limited to a small number of master degrees-of-freedom of the structural system. Numerical simulations and experimental results demonstrate the efficiency and accuracy of the method to identify a system of general moving loads or interaction forces between the vehicle and the bridge deck. The number of master degrees-of-freedom of the system should be selected smaller than or equal to the number of measured points, and the identified results are relatively not sensitive to the sampling frequency, velocity of vehicle, measurement noise level and road surface roughness when a minimum of eight beam-column finite elements are used to model the bridge with measured information from three measuring points.

Author Keywords: Interaction forces; Vehicle/bridge system; Load identification; Moving load problem; Finite element; Regularization; Correlation coefficients; Condensation

Article Outline

1. Introduction
2. Theory on vehicle axle load identification
2.1. Equation of motion for the vehicle-bridge system
2.2. Road surface roughness
3. Vehicle axle load identification from strain measurements
3.1. Identification with full measurements
3.2. Identification from selected measurements
3.3. Regularization
4. Numerical simulations
4.1. Effect of discretization of the structure and sampling rate
4.2. Effect of number of sensors and noise level
4.3. Effect of vehicle velocity and road surface roughness
5. Experimental verification
5.1. Experimental set-up
5.2. Identification from measured strains
6. Conclusions
Acknowledgements
Appendix I
References








Corresponding Author Contact InformationCorresponding author. Tel.: +852-2766-6062; fax: +852-2334-6389.


Engineering Structures
Volume 26, Issue 8, July 2004, Pages 1143-1153
 
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