Coupling Effects on Torsional Vibration with Clearance of a Two-Degree-of-Freedom System

Abstract

Two-degree-of-freedom vibro-impact model with clearance nonlinearity of torsional vibration is presented in this paper. Clearance in coupling in any rotating machinery can exhibit chaotic and multiple periodic phenomena. Coupling inertia also contributes to change the vibration characteristic significantly. In this paper, coupling effects, from a small inertia to large inertia compare to rotor, have been investigated for a wide frequency zone by simulation and some experiments focusing on resonance and bifurcation diagrams. As the spring in the clearance usually possesses quite low stiffness compared to shaft stiffness, symmetric and asymmetric characteristics can be exhibited. The results found are noticeably different from each other for the symmetric and asymmetric conditions. The presence of vibro-impact due to clearance can cause periodic, multiple periodic and chaotic motions.

Clearance Nonlinear Control Method of Electro-Hydraulic Servo System Based on Hopfield Neural Network

“…When a part generated from the input and transmitted to the output is transformed, if the corresponding reverse transformation is transmitted at the same time, the output also forms a change in the amount of change in the corresponding direction. However, if only the reverse change quantity is introduced, the output quantity does not immediately respond to the instantaneous change from the input side, but responds according to the output quantity until the input value exceeds a specific threshold [27]. The linear output signal generated by the system not only depends on the current linear input signal, but is also affected by the characteristics of the past input signal [28].…”