Theoretical Formulation of Three-Mass Vehicle Model for Vehicle-Bridge Interaction

Judy P. Yang*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

22 Scopus citations


The vehicle-bridge interaction (VBI) is studied using a semi-analytical approach based on a three-mass vehicle model. As most work analyzes vehicle-bridge interaction numerically and/or analytically by treating the vehicle as a simplified lumped mass, to the best of the author's knowledge, this work first presents the theoretical formulation of the three-mass VBI system, where a more realistic vehicle model equipped with a rigid mass and two unsprung mass-spring-damper systems is considered. By assuming the first modal vibration of beam, the semi-analytical solutions are derived, which can be served as the reference solutions for calibrating VBI analyses using different models or methods.

Original languageEnglish
Article number2150103
JournalInternational Journal of Structural Stability and Dynamics
Issue number7
StatePublished - Jul 2021


  • rigid mass
  • unsprung mass
  • Vehicle damping
  • vehicle-bridge interaction


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