Investigating the changes of vertical acceleration at the place of application of curved lifting based on the use of a quarter car model in the geometric design of two-lane roads.

Surface water caused by rainfall is very important on the road surface. Usually, this work is provided with the help of longitudinal and transverse slopes of the track. This is more important in the location of horizontal arches considering the role that their correct design has in providing safety. In this research, the method of using elevation at the place of change of the transverse slope of the road has been investigated in terms of low and good vertical acceleration of the vehicle. The use of crooked elevation can be placed at both ends of the horizontal arch or simply placed at the place of change of the drainage route. The vertical acceleration study has been done with the help of the dynamic model of the suspension system of a quarter car with two degrees of freedom.Analytical geometry and linear algebra methods were used for the geometric modeling of the route. The equations of the asphalt top plate in place on the height of the curve were obtained for the general geometrical data of the track such as the width of the track, the transverse slope in the straight horizontal path, the length applied to the height of the curve. In the following, by mathematical modeling of the planes perpendicular to the vehicle's path (parallel to the longitudinal axis of the road) and determining the intersection lines with the road surfaces, the equations of the longitudinal profile of the road (contact point of the vehicle wheel) were determined.