Abstract
In this study the finite element formulation for the dynamics of a bridge traversed by moving vehicles is presented. The vehicle including the driver and the passenger is modeled as a half-car-planner model with six degrees of freedom, traveling on the bridge with constant velocity. The bridge is a uniform with simply supported end conditions, and it obeys the Timoshenko beam theory. The equations of motion are derived using the extended Hamilton’s principle, and transformed to the finite element form using the weak-form formulation. Newmark’s method is applied to solve the governing equations and the results are compared with those available in the literature. Also, the maximum deflections in Timoshenko and Euler-Bernoulli beams have been compared. The results illustrated that as the velocity of the vehicle increases, the difference between the maximum beam deflection in two beam models becomes more significant.
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