Dynamic analysis of TBM multi-gear parallel transmission system considering the influence of multiple factors

The multi-gear parallel drive system of TBM is susceptible to many nonlinear factors in the driving process, which seriously affects the dynamic performance of the system. This paper takes the six-gear parallel transmission system as the research object, introduces the influence of several nonlinear factors such as thermal deformation, establishes the dynamic model of the system, adopts the Runge-Kutta method to carry out simulation calculation, and studies the dynamic characteristics of the system by combining the bifurcation diagram and Lyapunov diagram. The results indicate that when the temperature is below 58.43 °C or above 70.4 °C, with a stiffness coefficient below 0.35 and a damping ratio above 0.069, it can suppress chaotic motion, reduce system vibration and noise. Furthermore, beyond 58.43 °C and 70.4 °C, variations in stiffness and damping ratios have a minimal impact on the system’s motion characteristics, indicating that higher temperatures can enhance system stability.