Calculation of Dynamic Tire Forces from Aircraft Instrumentation Data
When evaluating aircraft brake control system performance, it is difficult to overstate the importance of understanding dynamic tire forces—especially those related to tire friction behavior. As important as they are, however, these dynamic tire forces cannot be easily or reliably measured. To fill this need, an analytical approach has been developed to determine instantaneous tire forces during aircraft landing, braking and taxi operations. The approach involves using aircraft instrumentation data to determine forces (other than tire forces), moments, and accelerations acting on the aircraft. Inserting these values into the aircraft’s six degree-of-freedom equations-of-motion allows solution for the tire forces. While there are significant challenges associated with this approach, results to date have exceeded expectations in terms of fidelity, consistency, and data scatter. The results show excellent correlation to tests conducted in a tire test laboratory. And, while the results generally follow accepted tire friction theories, there are noteworthy differences.Abstract

Common representation of longitudinal tire friction characteristics.

Less common representation of longitudinal tire friction characteristics.

Free-body-diagrams and equations-of-motion.

Calculated tire forces during a performance landing.

Calculated longitudinal tire friction characteristics.

Comparison of tire test laboratory results and calculated values.

Calculated longitudinal tire friction for various runway surfaces.

Comparison of slip velocity and slip ratio as an index of longitudinal tire friction.

Tire side force related to slip angle.

Tire side force related to lateral slip ratio.