Abstract:The study investigates dynamic response of vehicles driving on mountainous roads by developing a three-dimensional (3D) road roughness model using the random sine wave superposition method, integrated with MATLAB and TruckSim software. The roadbed structure is modeled as an infinite multi-layer plate on a viscoelastic half-space foundation. The three-dimensional interaction forces between the vehicle and the road, as well as the vehicle′s driving dynamics, are analyzed during the continuous uphill operation of a three-axle loaded vehicle. A self-developed generalized integral calculation program is employed to determine the vertical displacement of a four-layer pavement. The results reveal significant differences between 3D and 2D pavement models in terms of the maximum and root mean square values of longitudinal and lateral forces, with the lateral force on 3D pavement being 42.95% higher than on 2D pavement. When navigating circular ramps, the three-dimensional interaction forces exhibit notable variations. Specifically, when traversing a concave ramp, the peak longitudinal force can exceed the average longitudinal force by up to six times, while the lateral force demonstrates a pattern of initial increase, followed by a decrease, another increase, and eventual stabilization. Furthermore, the displacement impact of multiple tires on the road is not simply additive but must be evaluated based on factors such as tire position and effective distance. The findings provide valuable technical insights for the operation of heavy vehicles in scenarios involving continuous slope climbing, arch bridges, and culverts.