Evaluating Arrow Dynamics via Stochastic Perturbation Methods

Abstract

Traditional methods of measuring arrow spine, involving static weight tests, fail to account for the dynamic behavior of arrows in flight. Addressing this gap, our study developed a novel apparatus to capture the dynamic properties of arrows, providing a more accurate reflection of their performance. By applying stochastic perturbations through a voice coil actuator and measuring displacements, we were able to determine the natural frequency, damping characteristics, and mechanical stiffness of arrows made from carbon, wood, and aluminum with varying spines. Our findings, based on a second-order parameterized model, correlated well with spine values provided by manufacturers. Additionally, extensive high cycle fatigue tests were conducted on each type of arrow material, revealing minimal impact on the dynamic parameters of the arrows.