<p>In this study, the behavior of wave propagation in natural fiber-reinforced composite sport arches placed on elastic foundations was explored. A setup was constructed based on the Euler–Bernoulli beam theory, where both the bending of the arch and the foundation stiffness were taken into account. The effects of aging, through moisture and heat, were also included by introducing a hygrothermal degradation model. The wave characteristics were affected by changes in fiber content, opening angle of the arch, foundation parameters, and the passage of time. It was observed that when more fiber was included, the stiffness was increased, and the wave speed was boosted. However, that trend was not always linear, and some unexpected shifts were noticed after aging periods. Structures with wider curves were found to preserve wave speed better over time, especially when aged. By solving an eigenvalue problem derived from the governing equations, the wave frequency and phase velocity were obtained for different scenarios. These outcomes suggested that even small changes in shape or material could influence wave movement significantly. The findings may be used to guide the design of more efficient and eco-conscious components. A broader understanding of curved composite wave behavior was aimed to be offered through this work.</p>