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Active safety systems have been being developed in automotive industry, and an analytical vehicle model is needed in such systems to predict vehicle path to assess the crash probability. However, the bicycle model cannot result in a good correlation with test data and/or ADAMS simulation results, and other analytical vehicle models which use 8 or 14 degrees of freedom need more computation time. Therefore, in this study a simple analytical vehicle model was proposed to predict vehicle path especially during aggressive maneuvers. The analytical vehicle model can predict a vehicle's path based on the given vehicle speed and steering angle. In the analytical vehicle model, two different moment arms were used for inboard and outboard wheels, and lateral and longitudinal load transfers were taken into account. In addition, the magic formula tire model was used to estimate the lateral force. The analytical vehicle model has been validated with a sophisticated ADAMS model, and it resulted in a good correlation with test data.

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Abstract
1. INTRODUCTION
2. ANALYTICAL VEHICLE MODELS
3. UPGRADE OF THE FOUR WHEEL MODEL
4. CONCLUSION
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UCI(KEPA) : I410-ECN-0101-2009-556-016822140