Vibration analysis of open TBM gripping-thrusting-regripping mechanism

Abstract The gripping-thrusting-regripping mechanism in the open tunnel boring machine is inevitably excited by strong impacts during tunnelling operations, leading to severe vibrations and unexpected wear in the joints and/or damage to the other machine components. Therefore, it is crucial to gain deep insight into the dynamic behaviours of equipment in tunnelling operations. This paper presents an approach for the elasto-dynamic modelling of the mechanism, by considering the surrounding rocky boundary conditions and configuration-dependent rigidities of the actuators, joints and key components, allowing for the dynamic response and vibration energy distribution to be predicted theoretically. The agreement between the analytical model and finite element model at frequencies and mode shapes proves the effectiveness of the modelling method. The simulation results demonstrate that the first four mode shapes dominate the dynamic system behaviours as a whole during tunnelling operations. The outcomes are helpful in predicting the dynamic behaviours of the mechanism so that weak links can be identified and subsequently improved during the design stage.

[1]  W. Cleghorn,et al.  Dynamic finite-element analysis of a planar high-speed, high-precision parallel manipulator with flexible links , 2005 .

[2]  H. Ulbrich,et al.  Modelling and online computation of the dynamics of a parallel kinematic with six degrees-of-freedom , 2003 .

[3]  Hui Zheng,et al.  Performance Evaluation of Hard Rock TBMs considering Operational and Rock Conditions , 2018 .

[4]  L. Tsai.  Solving the Inverse Dynamics of a Stewart-Gough Manipulator by the Principle of Virtual Work , 2000 .

[5]  S. Staicu,et al.  Inverse dynamics of a 3-PRC parallel kinematic machine , 2012 .

[6]  Tao Sun,et al.  Elasto-dynamic analysis of a novel 2-DoF rotational parallel mechanism with an articulated travelling platform , 2016 .

[7]  Yangmin Li,et al.  Design and analysis of a novel 6-DOF redundant actuated parallel robot with compliant hinges for high precision positioning , 2010 .

[8]  William L. Cleghorn,et al.  Experimental Implementation on Vibration Mode Control of a Moving 3-PRR Flexible Parallel Manipulator with Multiple PZT Transducers , 2010 .

[9]  M. Bergamasco,et al.  Dynamics of parallel manipulators by means of screw theory , 2003 .

[10]  Chris K. Mechefske,et al.  Modeling of a Fully Flexible 3PRS Manipulator for Vibration Analysis , 2006 .

[11]  Tian Huang,et al.  Force analysis of an open TBM gripping–thrusting–regripping mechanism , 2016 .

[12]  Mohsen Shahinpoor,et al.  Inverse dynamics of a parallel manipulator , 1994, J. Field Robotics.

[13]  Stefan Staicu,et al.  Power requirement comparison in the 3-RPR planar parallel robot dynamics , 2009 .

[14]  Edmund Wittbrodt,et al.  Application of rigid finite element method to dynamic analysis of spatial systems , 1995 .

[15]  K. Komvopoulos,et al.  Contact analysis of elastic-plastic fractal surfaces , 1998 .

[16]  Qingbo Liu,et al.  Dynamic modeling and analysis of 3-RRS parallel manipulator with flexible links , 2010 .

[17]  Clément Gosselin,et al.  A New Approach for the Dynamic Analysis of Parallel Manipulators , 1998 .

[18]  Zhaocai Du.  Dynamic modeling of planar flexible parallel manipulators , 2007 .

[19]  Georg Anagnostou,et al.  Tunnel boring machines under squeezing conditions , 2010 .

[20]  Yuan Li,et al.  An Experimental Study on the Dynamics of a 3-RRR Flexible Parallel Robot , 2011, IEEE Transactions on Robotics.

[21]  Gang Cheng,et al.  Dynamics analysis of a parallel hip joint simulator with four degree of freedoms (3R1T) , 2012 .

[22]  James K. Mills,et al.  Vibration control of elastodynamic response of a 3-PRR flexible parallel manipulator using PZT transducers , 2008, Robotica.

[23]  Izhak Etsion,et al.  A Finite Element Based Elastic-Plastic Model for the Contact of Rough Surfaces , 2003 .

[24]  A. Lopes,et al.  Dynamic modeling of a Stewart platform using the generalized momentum approach , 2009 .

[25]  Alireza Akbarzadeh,et al.  An analytical model for vibration and control of a PR-PRP parallel robot with flexible platform and prismatic joint , 2016 .

[26]  Yimin Song,et al.  Rigid-flexible coupling dynamic modeling and investigation of a redundantly actuated parallel manipulator with multiple actuation modes , 2017 .

[27]  Siyang Zhou,et al.  Prediction of Thrust Force Requirements for TBMs Based on Mechanical Analysis , 2016 .

[28]  J. Mills,et al.  Dynamic modeling of a flexible-link planar parallel platform using a substructuring approach , 2006 .

[29]  Bodo Heimann,et al.  Computational efficient inverse dynamics of 6-DOF fully parallel manipulators by using the Lagrangian formalism , 2009 .

[30]  Z. Huang,et al.  Type Synthesis of Symmetrical Lower-Mobility Parallel Mechanisms Using the Constraint-Synthesis Method , 2003, Int. J. Robotics Res..

[31]  Bhaskar Dasgupta,et al.  A Newton-Euler Formulation for the Inverse Dynamics of the Stewart Platform Manipulator , 1998 .

[32]  Xianmin Zhang,et al.  Dynamic analysis of planar 3-RRR flexible parallel robots under uniform temperature change , 2015 .

[33]  Xingjian Dong,et al.  Dynamics analysis and characteristics of the 8-PSS flexible redundant parallel manipulator , 2011 .

[34]  D. Rubinstein.  Dynamics of a flexible beam and a system of rigid rods, with fully inverse (one-sided) boundary conditions , 1999 .

[35]  A. K. Mallik,et al.  Dynamic stability index and vibration analysis of a flexible Stewart platform , 2007 .