Modelling Arrow Dynamics for Optimised Recurve Archery Arrow Selection

This study develops a methodology to improve arrow selection methods for competitive recurve archers, using dynamic spine modelling to enhance accuracy. Existing arrow selection methods do not consider sufficient parameters of the bow, arrow or archer. An arrow must be well-matched to a given bow in order for the arrow to flex correctly upon exiting the bow. A comprehensive existing model of lateral-plane arrow dynamics was found in the literature and replicated, with the equations of motion solved using a finite difference approximation. An algorithm to solve the system of equations is presented here, as none were found in existing literature. The model developed in this study was validated against another for identical input parameters and results found to be qualitatively consistent. Two improved arrow selection methods are proposed. The first replicates the existing arrow selection tables but at a greater resolution, using first principles modelling instead of empirical relationships. The second describes an accelerated method for the optimisation of a specific archer's equipment. The new arrow selection tables were found to be generally consistent with those provided by the arrow manufacturer, but with notable trends present for extremes of draw weight and arrow length. Further validation of both the model and selection methods are required.