Verification of numerical analysis for unwinding cable with time-varying unwinding velocity

In this study, the nonlinear unwinding behavior of cables in a transient state wound in a cylindrical spool package was analyzed using unwinding dynamics. In previous studies, investigations were conducted using constant unwinding velocity. However, this method is limited due to complexities regarding the analysis of the actual behavior where the unwinding velocity increases or decreases. In this paper, to prevent problems, such as twisting, entanglement, and cutting, that occur during the rapid unwinding process, an experimental device that converts unwinding velocity over time was developed. Using a cable unwinding system, high-speed camera, and tension sensor, the equation of motion, which was derived in a previous study using the expanded Hamilton theorem, was experimentally verified. Moreover, the cable’s tension change and behavior in the unwinding process were analyzed, and a method to solve the unwinding problem was studied.