Scanning torsional-flexural frequencies of thin-walled box girders with rough surface from vehicles' residual contact response: Theoretical study

This paper studies theoretically the retrieval of torsional-flexural frequencies of mono-symmetric thin-walled box girder bridges from vehicles' residual contact response for the first time. To start, the three-dimensional vehicle-bridge equations of motion including the lateral and torsional (coupled) and vertical (uncoupled) vibrations are derived for a moving test vehicle. Then, closed-form solutions for the vehicle and vehicle-bridge contact point are derived. The contact response is selected since it is free of vehicle frequency, which may overshadow the bridge frequencies in FFT spectra. The other disturbing factor is surface roughness, which will be resolved by the residue method, i.e., by using the residual response of two connected vehicles. Through the parametric study, the proposed approach is verified to be feasible. The conclusions include: (1) the contact response performs better than the vehicle response for all the scenarios considered; (2) the surface roughness effect can be virtually eliminated using the residual contact response even for damped bridges with not-so-good pavements; (3) a larger vehicle's eccentricity from bridge's centerline enables the torsional-flexural frequencies to be better identified; and (4) the first several flexural and torsional-flexural frequencies of the girder can always be identified for a wide variety of parameters considered.

Automated summary

Through a parametric study, the proposed approach is verified to be feasible. The conclusions include: (1) the contact response outperforms the vehicle response in all scenarios considered; (2) even for damped bridges with less-than-ideal pavements, the surface roughness effect can be virtually eliminated using residual contact response; (3) a greater eccentricity of the vehicle from the bridge's centerline helps to better identify torsional-flexural frequencies; and (4) the first several flexural and torsional-flexural frequencies of the girder can always be identified for a wide range of parameters considered.