<p>The contact behavior of curved surfaces is critical to the structural performance of applications in fields such as aerospace and flexible electronics. However, the significant curvature variations resulting from the geometric complexity of curved structures make it difficult for traditional models to accurately characterize interfacial contact force and electrical conductivity. To address this challenge, this study incorporates the effects of curved configurations and establishes a quantitative relationship between normal contact force and interfacial contact resistance. To validate the effectiveness of the model, experimental measurements were conducted on copper alloy coil structures. The results showed that the predicted electrical contact resistance is in good agreement with the experimental data. Compared with planar surface contact models, the curved surface contact model developed in this study improved the prediction accuracy of electrical contact resistance, demonstrating its adaptability and precision in describing the electro-mechanical behavior of curved structures. The findings of this study provide a new theoretical approach and engineering reference for predicting and evaluating interfacial contact performance in structures with curved configurations.</p>