scholarly journals Modeling and Dynamic Analysis of Cutterhead Driving System in Tunnel Boring Machine

2017 ◽  
Vol 2017 ◽  
pp. 1-12 ◽  
Author(s):  
Wei Sun ◽  
Honghui Ma ◽  
Xueguan Song ◽  
Lintao Wang ◽  
Xin Ding
Keyword(s):  
Dynamic Model ◽  
Vibration Mode ◽  
Tunnel Boring Machine ◽  
Torque Ripple ◽  
Transmission System ◽  
Gear Transmission ◽  
Driving System ◽  
Tunnel Boring ◽  
Gear Transmission System ◽  
Driving Torque

Failure of cutterhead driving system (CDS) of tunnel boring machine (TBM) often occurs under shock and vibration conditions. To investigate the dynamic characteristics and reduce system vibration further, an electromechanical coupling model of CDS is established which includes the model of direct torque control (DTC) system for three-phase asynchronous motor and purely torsional dynamic model of multistage gear transmission system. The proposed DTC model can provide driving torque just as the practical inverter motor operates so that the influence of motor operating behavior will not be erroneously estimated. Moreover, nonlinear gear meshing factors, such as time-variant mesh stiffness and transmission error, are involved in the dynamic model. Based on the established nonlinear model of CDS, vibration modes can be classified into three types, that is, rigid motion mode, rotational vibration mode, and planet vibration mode. Moreover, dynamic responses under actual driving torque and idealized equivalent torque are compared, which reveals that the ripple of actual driving torque would aggravate vibration of gear transmission system. Influence index of torque ripple is proposed to show that vibration of system increases with torque ripple. This study provides useful guideline for antivibration design and motor control of CDS in TBM.

An Adaptive Robust Control for Hard Rock Tunnel Boring Machine Cutterhead Driving System

2015 ◽  
Author(s):  
Chengjun Shao ◽  
Jianfeng Liao ◽  
Xiuliang Li ◽  
Hongye Su
Keyword(s):  
Robust Control ◽  
Dynamic Model ◽  
External Force ◽  
Hard Rock ◽  
Tunnel Boring Machine ◽  
Adaptive Robust Control ◽  
Driving System ◽  
Tunnel Boring ◽  
Rock Tunnel ◽  
Hard Rock Tbm

The cutterhead driving system of tunnel boring machine is one of the key components for rock cutting and excavation. In this paper, a generalized nonlinear time-varying dynamic model is established for the hard rock TBM cutterhead driving system. Parametric uncertainties and nonlinearities and unknown disturbances exist in the dynamic model. An adaptive robust control strategy is proposed to compensate the uncertainties and nonlinearities to achieve precise cutterhead rotation speed control. In order to simulate the comprehensive performances of adaptive robust control controller, three different kinds of external force disturbances are added in this model. Compared to the traditional PID, ARC can effectively handle the different kinds of external force disturbances with sufficient small tracking errors.

scholarly journals Nonlinear Dynamic Analysis and Optimization of Closed-Form Planetary Gear System

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Qilin Huang ◽  
Yong Wang ◽  
Zhipu Huo ◽  
Yudong Xie
Keyword(s):  
Differential Equations ◽  
Closed Form ◽  
Dynamic Model ◽  
Total Mass ◽  
Nonlinear Differential Equations ◽  
Equations Of Motion ◽  
Planetary Gear ◽  
Transmission System ◽  
Gear Transmission ◽  
Gear Transmission System

A nonlinear purely rotational dynamic model of a multistage closed-form planetary gear set formed by two simple planetary stages is proposed in this study. The model includes time-varying mesh stiffness, excitation fluctuation and gear backlash nonlinearities. The nonlinear differential equations of motion are solved numerically using variable step-size Runge-Kutta. In order to obtain function expression of optimization objective, the nonlinear differential equations of motion are solved analytically using harmonic balance method (HBM). Based on the analytical solution of dynamic equations, the optimization mathematical model which aims at minimizing the vibration displacement of the low-speed carrier and the total mass of the gear transmission system is established. The optimization toolbox in MATLAB program is adopted to obtain the optimal solution. A case is studied to demonstrate the effectiveness of the dynamic model and the optimization method. The results show that the dynamic properties of the closed-form planetary gear transmission system have been improved and the total mass of the gear set has been decreased significantly.

Dynamic Modeling and Analysis of Shield TBM Cutterhead Driving System

2010 ◽  
Vol 132 (4) ◽  
Author(s):  
Xian Hong Li ◽  
Hai Bin Yu ◽  
Ming Zhe Yuan ◽  
Jin Wang ◽  
Yuan Yin
Keyword(s):  
Dynamic Model ◽  
Tunnel Boring Machine ◽  
Transmission Error ◽  
Shield Tunnel ◽  
Modeling And Analysis ◽  
Driving System ◽  
Output State ◽  
Tunnel Boring ◽  
Gear Backlash ◽  
Multiple Input

In this paper, a generalized nonlinear time-varying dynamic model is established for the cutterhead driving system of a shield tunnel boring machine. A nonlinear multiple input and multiple output state-space dynamic model is also proposed. The dynamic model is simulated to analyze the driving system and the effects of system parameters such as gear backlash and transmission error, larger gear inertia, and load torque on the dynamic response of driving system are investigated as well. A preliminary approach is proposed to restrain speed oscillation and reduce steady-state speed ripple. Through modeling and studying the dynamic model, we refine some important issues that should be given closer attention.

Analysis on the vibration reduction for a new rigid–flexible gear transmission system

2021 ◽  
pp. 107754632110132
Author(s):  
Zhibo Geng ◽  
Junyang Li ◽  
Ke Xiao ◽  
Jiaxu Wang
Keyword(s):  
Dynamic Model ◽  
Vibration Reduction ◽  
Surface Friction ◽  
Transmission System ◽  
Gear Transmission ◽  
Dynamic Responses ◽  
Gear Pair ◽  
Nonlinear Dynamic Model ◽  
Gear Transmission System ◽  
Flexible Gear

In this study, a new rigid–flexible gear with metal rubber is proposed to reduce the vibration of the gear transmission system. A nonlinear dynamic model with nine degrees of freedom considering bearing clearance, gear backlash, surface friction, and time-varying meshing stiffness is established. The nondimensional dynamic model of the transmission system is obtained and the bifurcation characteristics of the new rigid–flexible gear pair and the rigid gear pair are analyzed when the damping coefficient is, respectively, 0.03 and 0.1. The result shows that the motion state of the rigid–flexible gear pair is more stable. The dynamic responses of the rigid gear pair and the rigid–flexible gear pair are compared as well through numerical analysis and experiment to illustrate the advantage of the rigid–flexible gear pair in vibration reduction. The results can provide reference for vibration reduction of the novel gear transmission.

Theoretical analysis of the vibration modes of the star herringbone gear transmission system

2019 ◽  
Vol 234 (2) ◽  
pp. 358-368
Author(s):  
Feiming Wang ◽  
Sanmin Wang ◽  
Fei Li
Keyword(s):  
Vibration Mode ◽  
Vibration Suppression ◽  
Transmission System ◽  
Gear Transmission ◽  
Vibration Modes ◽  
Lumped Mass ◽  
Coupling Vibration ◽  
Lumped Mass Method ◽  
Gear Transmission System ◽  
Herringbone Gear

The star herringbone gear transmission system has a high load-carrying capacity, and is widely used in aviation, marine power drives, off-road vehicles, and hybrid electric-drive vehicles. Vibration and noise are the key concerns with this transmission system. The lumped mass method was adopted to establish the dynamic model and equations of this system. The modes of the system were analyzed and classified, and the eigenvalues and their multiplicities were determined. The results showed that the system has four typical vibration modes: (1) a lateral-rotational coupled vibration mode (multiplicity m = 1), (2) star gear compound mode (multiplicity m =  N-3, N > 3), (3) center component lateral vibration mode (multiplicity m = 2), and (4) star gear and center gear-coupled mode (multiplicity m = 2). The contribution of this paper lies in the discovery of the coupling vibration modes in the star herringbone gear transmission system and the multiplicities of these modes. This work provides the foundation for further research on vibration suppression for the star herringbone gear transmission system and the theory of planet phasing.

Vibration analysis of a flexible gearbox system considering a local fault in the outer ring of the supported ball bearing

2020 ◽  
pp. 107754632093688
Author(s):  
Jing Liu ◽  
Lei Yuan
Keyword(s):  
Dynamic Model ◽  
Transmission System ◽  
Gear Transmission ◽  
Ball Bearings ◽  
Transmission Characteristics ◽  
Flexible Coupling ◽  
Flexible Shaft ◽  
Gear Transmission System ◽  
Coupling Dynamic ◽  
Coupling Dynamic Model

Ball bearings are key components in the gear transmission system. Supported ball bearings have great influences on the vibrations of the gear transmission system, especially the presence of the local faults. Although some reported works formulated the local fault in the supported bearings of the gear transmission system, the box and shaft were considered as rigid bodies. To overcome this problem, a rigid-flexible coupling dynamic model for a flexible gearbox with the supported ball bearings is developed, which cannot be described by the previous multibody models. The local fault in the supported bearing is described by a time-varying impact force model with a half-sine profile. The bearing clearance, flexible shaft, and box are considered in the rigid-flexible coupling dynamic model. The flexible shaft and box are formulated by a finite element method. The damping and contact stiffness in the bearings and gears are obtained by the previous methods in the listed works. The frictions between the mating components are formulated by the Coulomb friction model. An experimental study is applied to validate the rigid-flexible coupling dynamic model. The effects of the faults on the vibration transmission characteristics are investigated. The results provide that the local fault in the supported bearings will greatly affect the vibrations of the gearbox system. Moreover, it depicts that the vibration collection point for the defective bearings should be located at the same side to obtain better singles. This work can provide a more reasonable method for understanding the vibration transmission characteristics of the gearbox system with the local faults in the supported bearings than the reported multibody models.

scholarly journals Dynamic characteristics analysis of planetary gear system with internal and external excitation under turbulent wind load

2021 ◽  
Vol 104 (3) ◽  
pp. 003685042110356
Author(s):  
Hexu Yang ◽  
Xiaopeng Li ◽  
Jinchi Xu ◽  
Zemin Yang ◽  
Renzhen Chen
Keyword(s):  
Wind Speed ◽  
Wind Turbine ◽  
Nonlinear Dynamic ◽  
Planetary Gear ◽  
Wind Load ◽  
Transmission System ◽  
Gear Transmission ◽  
Stiffness Ratio ◽  
Gear Transmission System ◽  
Planetary Gear System

According to the working characteristics of a 1.5 MW wind turbine planetary gear system under complex and random wind load, a two-parameter Weibull distribution model is used to describe the distribution of random wind speed, and the time-varying load caused by random wind speed is obtained. The nonlinear dynamic model of planetary gear transmission system is established by using the lumped parameter method, and the relative relations among various components are derived by using Lagrange method. Then, the relative relationship between the components is solved by Runge Kutta method. Considering the influence of random load and stiffness ratio on the planetary gear transmission system, the nonlinear dynamic response of cyclic load and random wind load on the transmission system is analyzed. The analysis results show that the variation of the stiffness ratio makes the planetary gear have abundant nonlinear dynamics behavior and the planetary gear can get rid of chaos and enter into stable periodic motion by changing the stiffness ratio properly on the premise of ensuring transmission efficiency. For the variable pitch wind turbine, the random change of external load increases the instability of the system.

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