Abstract
Extreme vibration often occurs on TBM main system during the tunneling process. This paper established the mathematical model for TBM main system considering the impact load, time-varying internal incentive and the complex coupling relationship between each vibration degree of freedom. The dynamic model was modified by the multi-point vibration measured data. The calculation error of the system response of the main support frame’s main vibration direction was within 10%. And it was found that the overturning vibration and axial vibration of the system were the main forms of vibration of the system. It was determined that the low-frequency vibration of 15–20 Hz was a coupled vibration of system’s first to fourth mode vibration mode. Based on the vibration characteristics of TBM main system, this paper designed a tuned mass vibration absorption structure (TMVAS) that can adapt to the multi degree of freedom (MDOF) coupling vibration of TBM main system during the actual tunneling process. To minimize system vibration, the optimal design parameters of the system was determined. The maximum amplitude of the axial and horizontal overturning vibration of the support frame was reduced by 26.7 % and 13 %, and the maximum amplitude of the cutterhead’s axial vibration was reduced by 23.2 %.
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Abbreviations
- F:
-
Load
- T:
-
Torque
- M:
-
Moment
- X:
-
Horizontal displacement
- Y:
-
Vertical displacement
- Z:
-
Axial displacement
- θ:
-
Torsional displacement
- m:
-
Mass
- I:
-
Inertia
- k:
-
Stiffness
- c:
-
Damping
- α:
-
Meshing angle of each pinion
- ϕ:
-
Phase angle of each pinion
- r:
-
Radius of the large ring
- D:
-
Damping force
- β:
-
Angle
- δ:
-
Relative displacement of the i-th pinion
- K:
-
Kinetic energy
- P:
-
Elastic potential energy
- l:
-
Length
- ϕ:
-
Angle
- ρ:
-
Diameter
- β:
-
Installing angle
- ω:
-
Rotational angular velocity
- t:
-
Time
- η:
-
Correction coefficient
- ξ:
-
Correction coefficient
- μ:
-
Correction coefficient
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Acknowledgments
The study was funded by National Natural Science Foundation of China (Grant No. 51875076), National Key Research and Development Project (2018YFB1306701), NSFC-Liaoning United Key fund (Grant No. U1708255).
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The authors declare that they have no competing interests.
Junzhou Huo now works at Dalian University of Technology. His current research interests include mechanical dynamics, optimal design and mechanical structure life prediction.
Hanyang Wu received master degree in Mechanical Engineering from Dalian University of Technology, Dalian, China, in 2016. His current research interests include mechanical dynamics and mechanical optimal design.
Wenbo Ji now works at Dalian University of Technology. His current research interests include mechanical dynamics and mechanical optimal design.
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Huo, J., Wu, H. & Ji, W. Anti-vibration design for TBM main drive system based on multi-directional coupling dynamic characteristics analysis. J Mech Sci Technol 34, 4405–4421 (2020). https://doi.org/10.1007/s12206-020-0703-5
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DOI: https://doi.org/10.1007/s12206-020-0703-5