Moving force identification based on the frequency–time domain method

• Published in: Journal of sound and vibration Vol. 261; no. 2; pp. 329 - 349
• Main Authors: Yu, L., Chan, Tommy H.T.
• Format: Journal Article
• Language: English
• Published: London Elsevier Ltd 20.03.2003; Elsevier
• Subjects: Applied sciences; Buildings. Public works; Exact sciences and technology; Fundamental areas of phenomenology (including applications); Measurement and testing methods; Measurement methods and techniques in continuum mechanics of solids; Measurements. Technique of testing; Physics; Solid mechanics; Structural and continuum mechanics; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Vibrations and mechanical waves; Singularity; Force measurement; Vibration; Equation of motion; Time frequency domain method; Numerical method; Modeling; Axle; Moving load; Measuring bridge; Response frequency; Frequency response; Road traffic; System identification; Bridge deck; Singular value decomposition
• ISSN: 0022-460X; 1095-8568
• DOI: 10.1016/S0022-460X(02)00991-4

This paper addresses the problem on the identification of moving vehicle axle loads based on measured bridge responses using a frequency–time domain method. The focus is on the evaluation of two solutions to the overdetermined set of equations established as part of the identification method. The two solutions are (i) direct calculation of the pseudo-inverse and (ii) calculation of the pseudo-inverse via the singular value decomposition (SVD) technique. For this purpose, a bridge–vehicle system model was fabricated in the laboratory and the bending moment responses of bridge model were measured as a two-axle vehicle model moved across the bridge deck. The moving axle loads are then calculated from the measured responses via the two solutions to the over-determined set of equations. The effects of changes in the bridge–vehicle system, measurement and algorithm parameters on the two solutions are evaluated. Case studies show that the moving force identification is more feasible and its accuracy acceptable with the use of the SVD technique. This technique can effectively enhance the identification method and improve the identification accuracy over that of the direct pseudo-inverse solution.