Coupled Multi-Body Dynamic and Vibration Analysis of High-Speed Hypoid Geared Rotor System

High speed, precision geared rotor systems are often plagued by excessive vibration and noise problems. The response that is primarily excited by gear transmission error is actually coupled to the large displacement rotational motion of the driveline system. Classical pure vibration model assumes that the system oscillates about its mean position without coupling to the large displacement motion. To improve on this approach and understanding of the influences of the dynamic coupling, a coupled multi-body dynamic and vibration simulation model is proposed. Even though the focus is on hypoid geared rotor system, the model is more general since hypoid and bevel gears have more complicated geometry and time and spatial-varying characteristics compared to parallel axis gears. This paper presents a multi-degree-of-freedom multi-body hypoid geared rotor system dynamic model that incorporates a unique gear mesh representation to calculate the combined motion of the large displacement rotation and small displacement vibration. Numerical simulation results are analyzed in both time and frequency domains, and compared to those of the classical analytical methods or practical observation. These results also reveal the effects of the dynamic coupling on the vibration excitation and the transient or nonlinear system response.