Coriolis Force Sliding Mode Control Method for the Rotary Motion of the Central Rigid Body-Flexible Cantilever Beam System in TBM

Beam slab structure is often encountered in a complex tunnel boring machine. Beam slab structure is subject to dynamic load, which is easy to cause fatigue damage and affect its service life. Therefore, it is necessary to control the vibration of this kind of beam slab structure. In this study, the...

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Main Authors: Chuanlu Zhou, Long Qin, Ming Chen, Jingxiang Zhang
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Advances in Civil Engineering
Online Access:http://dx.doi.org/10.1155/2021/9866453
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author Chuanlu Zhou
Long Qin
Ming Chen
Jingxiang Zhang
author_facet Chuanlu Zhou
Long Qin
Ming Chen
Jingxiang Zhang
author_sort Chuanlu Zhou
collection DOAJ
description Beam slab structure is often encountered in a complex tunnel boring machine. Beam slab structure is subject to dynamic load, which is easy to cause fatigue damage and affect its service life. Therefore, it is necessary to control the vibration of this kind of beam slab structure. In this study, the central rigid body-flexible beam model is established for the rotating beam and plate rotating around the y-axis. Based on the Hamilton variational principle, the dynamic equation of the central rigid body-flexible beam system is established, and the dynamic model of the central rigid body-flexible beam system considering the influence of Coriolis force and centrifugal force is given. The vibration control of the central rigid body-flexible beam system is studied. The vibration mode of the rotating Euler Bernoulli beam is determined by using the elastic wave and vibration mode theory. The influence of the rotating motion on the beam vibration is analyzed, and the variable structure control law is designed to suppress the beam vibration. Numerical simulation results show that the control method can effectively suppress the first-order and second-order vibration of the beam and verify the effectiveness of the control strategy.
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institution Kabale University
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spelling doaj-art-e9dbb305484f4229923d44088728d0722025-02-03T05:59:58ZengWileyAdvances in Civil Engineering1687-80942021-01-01202110.1155/2021/9866453Coriolis Force Sliding Mode Control Method for the Rotary Motion of the Central Rigid Body-Flexible Cantilever Beam System in TBMChuanlu Zhou0Long Qin1Ming Chen2Jingxiang Zhang3China Railway 14th Bureau Group Mega Shield Construction Engineering Co., LtdChina Railway 14th Bureau Group Mega Shield Construction Engineering Co., LtdChina Railway 14th Bureau Group Mega Shield Construction Engineering Co., LtdChina Railway 14th Bureau Group Mega Shield Construction Engineering Co., LtdBeam slab structure is often encountered in a complex tunnel boring machine. Beam slab structure is subject to dynamic load, which is easy to cause fatigue damage and affect its service life. Therefore, it is necessary to control the vibration of this kind of beam slab structure. In this study, the central rigid body-flexible beam model is established for the rotating beam and plate rotating around the y-axis. Based on the Hamilton variational principle, the dynamic equation of the central rigid body-flexible beam system is established, and the dynamic model of the central rigid body-flexible beam system considering the influence of Coriolis force and centrifugal force is given. The vibration control of the central rigid body-flexible beam system is studied. The vibration mode of the rotating Euler Bernoulli beam is determined by using the elastic wave and vibration mode theory. The influence of the rotating motion on the beam vibration is analyzed, and the variable structure control law is designed to suppress the beam vibration. Numerical simulation results show that the control method can effectively suppress the first-order and second-order vibration of the beam and verify the effectiveness of the control strategy.http://dx.doi.org/10.1155/2021/9866453
spellingShingle Chuanlu Zhou
Long Qin
Ming Chen
Jingxiang Zhang
Coriolis Force Sliding Mode Control Method for the Rotary Motion of the Central Rigid Body-Flexible Cantilever Beam System in TBM
Advances in Civil Engineering
title Coriolis Force Sliding Mode Control Method for the Rotary Motion of the Central Rigid Body-Flexible Cantilever Beam System in TBM
title_full Coriolis Force Sliding Mode Control Method for the Rotary Motion of the Central Rigid Body-Flexible Cantilever Beam System in TBM
title_fullStr Coriolis Force Sliding Mode Control Method for the Rotary Motion of the Central Rigid Body-Flexible Cantilever Beam System in TBM
title_full_unstemmed Coriolis Force Sliding Mode Control Method for the Rotary Motion of the Central Rigid Body-Flexible Cantilever Beam System in TBM
title_short Coriolis Force Sliding Mode Control Method for the Rotary Motion of the Central Rigid Body-Flexible Cantilever Beam System in TBM
title_sort coriolis force sliding mode control method for the rotary motion of the central rigid body flexible cantilever beam system in tbm
url http://dx.doi.org/10.1155/2021/9866453
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AT mingchen coriolisforceslidingmodecontrolmethodfortherotarymotionofthecentralrigidbodyflexiblecantileverbeamsystemintbm
AT jingxiangzhang coriolisforceslidingmodecontrolmethodfortherotarymotionofthecentralrigidbodyflexiblecantileverbeamsystemintbm