This paper presents a numerical model of a vibrating rope made of hyperelastic material and loaded with a lumped mass. A well-known bungee cord was chosen as an example for analysis, where the lumped mass is a person performing a jump. The computer analysis was preceded by a simple analytical model. Subsequently, a computer analysis was performed using the Abaqus system. The vibration amplitude of the rope, the period of damped vibrations, the stress distribution along the rope, the displacement, and the overload of the lumped mass at the end of the rope were determined. Changes in the elastic energy of the rope were also analyzed.The relationships were determined taking into account the self-weight of the rope and the damping in the rope material. Bungee jumping was inspired by the indigenous people of Pentecost Island (New Hebrides) in the Pacific. Every year, men of the Vanuatu tribe inhabiting the island construct a wooden tower over 20 m high. Young men jump from bamboo towers, secured by vines tied to their ankles and knees.
Inspired by the islanders, modern bungee jumping was first performed by members of “The Oxford University Dangerous Sports Club”. The first (…)
The article contains 17,356 characters.
Source: Logistyka Magazine
Computer-aided vibration analysis of a loaded hyperelastic rope – PDF file for download