Abstract: “The need to find a sustainable method easily understood and applied by a common construction engineer in less technically advanced countries compels us to start the work presented in this paper as a pushover method in bridge-vehicle interaction research. Handling limited scientific resources to solve complex structural engineering problems to predict and control the traffic induced vibration associated with high order differential equations is the main objective of this work. The proposed methodology models the bridge-vehicle system by considering the bridge sub model and the vehicle sub model in the system interaction model, each subsystem including interaction dynamic parametric elements associated with irregularities on the wheel-rail interface, and the resulted dynamic interaction equations are solved using higher-order and fixed-point methods. Graphical results obtained from the developed numerical approximation is easily applied and understood by local civil engineers with adequa”

Keywords: dynamic, bridge deck, vehicle, sub model, interface, wheel-rail, Interaction.