Dynamic Two-Dimensional Nonlinear Vibration Modeling and Analysis for Shield TBM Cutterhead Driving System

Abstract

This paper establishes a general dynamic two-dimensional nonlinear time-varying (TDNLTV) vibration model with multi-drive shaft for shield tunnel boring machine (TBM) cutterhead driving system. Multipleinput and multiple-output (MIMO) state-space vibration model of cutterhead driving system is also presented. TDNLTV vibration model is simulated, and physical parameters' effects on the vibration response are detailed investigated. A preliminary approach is proposed to reduce vibration or nonlinear vibration behaviors. Dynamic TDNLTV vibration model provides a basic foundation of fault detection and diagnosis (FDD) and health monitoring for cutterhead driving system. i-th induction motor rotor viscous damped after equivalent coupling-i J z,i inertia of the i-th coupling between motor-i and reducer-i b z,i viscous damped of the i-th coupling between motor-i and reducer-i J r,ii -th induction motor rotor inertia b r,i i-th induction motor rotor viscous damped J m large gear inertia b m large gear viscous damped r m large gear radius θ p,i angular displacement of i-th active pinion θ i angular displacement of i-th motor rotor θ m large gear angular displacement ω m large gear angular speed J c,

Influence of motor fault on synchronization and dynamic characteristics of a multi-motor driving system

“…Yeh and Hsu (2003) used cross-coupling controllers to reduce the multiple motion axes contour error in machine tool control. Li et al, (2010Li et al, ( , 2014 established a generalized nonlinear dynamic model of the cutter-head driving system in a shield tunneling machine. The model is used to study the influences of system parameters, such as backlash, transmission error, gear inertia, and load, on the dynamic characteristic of the driving system.…”