Optimizing the Aero-Suspension Interactions in a Formula One Car

The interactions between the multilink suspension system of an open-wheeled race car and the vehicle's aerodynamic performance are modeled and optimized. The closed-kinematic loops associated with the suspension mechanisms are modeled as a set of nonlinear equations that are derived using a first principle kinematic analysis. For the purpose of optimal control calculations, the solutions to these equations are approximated by multivariate polynomials in the normal tire forces. It is shown that the car's suspension motion can have a significant impact on the aerodynamic performance of the vehicle. Optimal control calculations are used to illustrate the impact of aero-suspension interactions and adjustments on the lap-time performance of the car.