Vehicle Dynamics Response to Road Hump using a 10 Degrees of Freedom Full-Car Model

A mathematical model with 3D 10-DOF vehicle model is developed to simulate and study the effect of changing the suspension parameters (stiffness and damping coefficient) on the vehicle dynamics in case of a vehicle crossing a sinusoidal road hump. Lagrange’s equation is used to derive the equation of motion and system matrices and then MATLAB is used to solve the differential equation of motion by using the central difference method. The model includes 10 motions (10 DOF) and it can be used to reduce cost , time of trial and optimize the vehicle suspension parameters. The maximum bounce of the driver, passenger and vehicle-chassis increases by 85.1 %, 107.1 % and 64.5 % respectively as the vehicle speed increases from 25 to 50 % during crossing a sinusoidal hump