7-DOF Vehicle Model with Magic Formula Tire Model for Automotive Applications

We have successfully developed a comprehensive 7-degree-of-freedom vehicle model coupled with the Magic Formula tire model. These integrated models play a critical role in vehicle stability simulations and dynamics analysis. During the modeling process, we incorporated multiple physical factors including vehicle mass distribution, engine power characteristics, steering angle inputs, suspension system dynamics, braking system behavior, and inter-wheel friction relationships. Through extensive research in vehicle kinematics and dynamics, we further refined the model accuracy by implementing mathematical representations of force-generation mechanisms and slip-angle dependencies. The implementation utilizes state-space formulations for the 7-DOF system (covering longitudinal, lateral, vertical, roll, pitch, yaw, and wheel rotation motions) while the Magic Formula component employs Pacejka's empirical equations to calculate tire forces based on slip ratios and slip angles. These models provide valuable insights into vehicle behavior and characteristics, serving as essential tools for automotive design optimization and performance improvement. The simulation framework allows for parameter tuning through configuration files and real-time visualization of vehicle dynamics responses under various operating conditions.