Half Car Model and Body Roll Mode

To examine and optimize the roll vibrations of a vehicle, we use the half car vibrating model in which we laterally cut a vehicle and take one half to study. Figure 11.1 illustrates a half car model. This model includes the body bounce x, body roll \(\varphi \) , and wheels hop \(x_{1}\) and \(x_{2}\) . There are also two independent road excitations \(y_{1}\) and \( y_{2}\) under the left and right wheels. The roll vibration of a car is the most unpleasant and the most uncomfortable motion of a vehicle.