Analysis of chaotic vibration of Shilnikov-type in rotor with asymmetric and non-linear stiffness

We study the chaotic vibration of a rotor with an asymmetric and non-linear stiffness. The system of motion equations of the rotor in the fixed coordinate system is derived and converted to the normal form by the method of multiple scales. On the basis of the normal form, we derive the conditions under which the chaotic vibration of the Shilnikov-type in the rotor can occur. Finally, the numerical simulations are presented to verify the above-mentioned conditions. •The system of motion equations of a rotor with an asymmetric stiffness.•The conditions of the generation of the chaotic vibration of Shilnikov-Type.•The numerical simulations.