Abstract:Cable-driven bionic fish have attracted increasing attention as promising underwater platforms for fine-scale marine exploration owing to their lightweight structure, high compliance, and low hydrodynamic disturbance. In many prototypes, a single servo motor mounted at the anterior tail joint pulls antagonistic tendons to generate a characteristic C-shaped tail beat, which differs significantly from the classical S-shaped body wave assumed in most theoretical studies. As a result, existing body wave models cannot directly describe the kinematics and propulsion performance of such cable-driven configurations. To address this gap, a geometric mapping between the servo rotation and the joint deflection of a multi-segment tail was developed, and on this basis a modified Lighthill-type body wave function whose amplitude envelope was explicitly parameterized by the servo angle and frequency was proposed. A discrete Lagrangian dynamics model of the cable-driven tail was then formulated by introducing hydrodynamic drag, lift, and added-mass forces obtained from CFD simulations in ANSYS Fluent with overset moving meshes. The model was used to predict the forward swimming speed of a six- segment robotic tail under different combinations of tail-beat frequency (1 ~ 3 Hz )and maximum oscillation amplitude (25° ~ 30°). Water-tank experiments on a fully assembled robotic fish prototype, driven by an Arduino-based sinusoidal servo control, were conducted to validate the theoretical predictions. For low-frequency cases, the predicted propulsion speeds showed good agreement with both CFD and experimental results, with only small deviations observed, whereas larger discrepancies at higher frequencies were traced to strong unsteady flow, vortex shedding, and phase lag between lift and drag coefficients that were not fully captured by the quasi-steady assumption. The proposed modeling framework therefore provided a practical tool for performance prediction, parameter optimization, and control design of C-type cable-driven robotic fish tails used in underwater exploration.