Dynamics analysis of the round-wheel compound bow model

This article introduces a round-wheel compound dynamic model to simulate the force process after the release of the compound bow. This model is developed in the static model established by M.Tiermas, a more refined model was obtained through the kinetic energy theorem, which considers the influence of the mass distribution of bow limb and bowstring on the dynamic process, rather than simplifying the parameters of bow limb and bowstring to concentrated mass. This article analyzes the changes in force and energy of each component of the compound bow over time and drawing distance after the release of the bowstring. The analysis reveals that the string is the primary factor affecting the efficiency of the compound bow and is also the most vulnerable component, as the peak force it experiences during rebound is much greater than the force when in a static state. This model provides a theoretical basis for the design of the round-wheel compound bow structure.