Research on Vehicle Vibration with 1/4 Car Model using Lagrange II equation

Abstract

Research on vehicle vibration using the 1/4 car model based on the Newton-Euler method has been widely applied. However, in many cases, vehicle vibrations are influenced by suspension structural parameters such as the length of control arms and the force transmission path of the elastic and damping components, which are not considered in the Newton-Euler method. To evaluate the impact of these factors on vehicle vibration, the 1/4 car vibration model needs to incorporate the structural parameters of the suspension system. This study formulates the differential equations of the suspension system dynamics using the Lagrange II equation. The research investigates the effects of parameters including the inclination angle of the spring-damper axis, the mounting positions of the spring axis on the control arm and the vehicle body, spring stiffness, and damping coefficient on vehicle vibrations in the horizontal plane when traversing uneven road surfaces. The research results demonstrate the reliability of the theoretical model.