Study of Vehicle Vibration Model Based on Lagrange Method

The vibrating behavior of multiple DOF vehicle systems is very much dependent to their natural frequencies and mode shapes. These characteristics can be determined by solving an eigenvalue and an eigenvector problem. The kinetic energy, potential energy, and dissipation function of the system was defined by quadratures and the equations of motion were derived by applying the Lagrange method. Numerical example was calculated. The results show that the method is correct and it lay a good foundation for further research on vehicle vibration.