Abstract: In view of the fact that vehicle modeling does not reflect the high frequency vibration completely, the classical vibration theory and impact wave theory are applied to simulate the helical spring suspension vehicle vibration and analyse its response. The theoretical support of impact wave mechanics to analyse the vehicle vibration is put forwoard. And the expression equation of the wave resistance of helical spring stress wave is developed. Wave resistance force and deformed force vibration models of vehicle are setup. Helical spring inertia force and deformed force vibration models of vehicle are setup based on the effect of the impact wave on the helical spring length and corresponding mass. The wave theory modeling of vehicle vibration of helical spring suspension is setup under considering many factors. And the solutions to model are also discussed and compared with all the models in theory and solution. Simulation and test prove consistency of impact wave theory model and classical vibration theory model in low frequency domain and satisfying the shortcomings of the latter which can not express high frequency vibration. It is concluded with the application method of helical spring parameters and the simulation method of high frequency response of suspension in wave theory.

Key words: Frequency response analysis, Helical spring, Impact wave theory, Vehicle vibration