Two-Mass Vehicle Model for Extracting Bridge Frequencies

J. P. Yang*, Bo How Chen

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

40 Scopus citations


The dynamic response of a moving vehicle has been utilized to extract the frequencies of the supporting bridge. In most previous studies, the vehicle was modeled as a single-degree-of-freedom sprung mass moving over a simple beam, which suffers from the drawback that the sprung mass may be affected by the vehicle motion. To overcome this drawback, this paper presents a two-mass vehicle model for extracting the bridge frequencies, which contains a sprung mass (vehicle body) and an unsprung mass (axle mass). By using the response of the unsprung mass, the bridge response can be more realistically extracted. The main findings of the present study are as follows: (1) the use of unsprung mass in the vehicle model can faithfully reveal the dynamic responses of both the vehicle and bridge, (2) the increase in the unsprung mass can effectively help the extraction of bridge frequencies, including the second frequency, (3) under high levels of road roughness, the proposed model can identify the bridge frequencies, while the single-mass model cannot, and (4) in the presence of vehicle damping, the proposed model can identify the bridge frequencies under high levels of road roughness without additional techniques of processing.

Original languageEnglish
Article number1850056
JournalInternational Journal of Structural Stability and Dynamics
Issue number4
StatePublished - 1 Apr 2018


  • Vehicle-bridge interaction
  • road surface roughness
  • sprung mass
  • unsprung mass
  • vehicle damping


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