Abstract
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.
Highlights
With the development of shield technology, superlarge diameter tunnel boring machine (TBM) is frequently used in civil construction and production
Look for a robust control strategy. It has become a hot issue in the vibration control of the central rigid body-flexible beam plate model [9,10,11]. e sliding mode variable structure control strategy is a robust control method, and it is currently widely used in active vibration control based on a central rigid body-flexible beam model [12–15]
Based on the Hamilton variational principle, this study adopts the Euler–Bernoulli beam theory to establish the dynamic equation of the central rigid body-flexible beam system for the rotating plate in which the rotating motion shown in Figure 1 occurs, and the centrifugal force and Coriolis force are considered in the modeling of the flexible attachment
Summary
With the development of shield technology, superlarge diameter tunnel boring machine (TBM) is frequently used in civil construction and production. It has become a hot issue in the vibration control of the central rigid body-flexible beam plate model [9,10,11]. E sliding mode variable structure control strategy is a robust control method, and it is currently widely used in active vibration control based on a central rigid body-flexible beam model [12–15]. Based on the Hamilton variational principle, this study adopts the Euler–Bernoulli beam theory to establish the dynamic equation of the central rigid body-flexible beam system for the rotating plate in which the rotating motion shown in Figure 1 occurs, and the centrifugal force and Coriolis force are considered in the modeling of the flexible attachment. Using elastic wave and vibration mode theory, the vibration mode of Euler–Bernoulli beam affected by Coriolis force is determined. e method of constant velocity approaching law is adopted to design the variable structure control law, and the control force is designed on the flexible attachment to suppress its lateral vibration
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