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

Judy P. Yang

Judy P. Yang

Department of Civil Engineering, National Yang Ming Chiao Tung University, Hsinchu 30010, Taiwan

Department of Civil Engineering, National Chiao Tung University, Hsinchu 30010, Taiwan

E-mail Address: jpyang@nycu.edu.tw

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https://doi.org/10.1142/S0219455421710048Cited by:20 (Source: Crossref)

Abstract

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.

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