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| Vibration response and model predictive control of an axially moving cantilever beam |
| CHEN Hao1, CHEN Jikai1, DUAN Yingchang2, HE Yufeng1,2, LUO Xiang1 |
1. School of Mechanical Engineering, Southeast University, Nanjing 211189, China;
2. Training Base, Army Engineering University of PLA, Nanjing 210001, China |
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Abstract The erection process of military bridge vehicles is simplified into an axially moving cantilever beam system that is continuously stimulated by external forces. Lagrange method is used to derive the time-varying dynamics equation of the system, and the Galerkin method with power series function as trial function is used to solve the discrete equation. At the same time, the influence of erection speed on the vibration of the bridge is analyzed, and giving the suitable erection speed strategy. Finally, model predictive control based on Newmark method is proposed to actively control the vibration of the bridge. The influence of relevant parameters in the control strategy on vibration control is discussed and a suitable value range is given. The comparison of the results shows that model predictive control based on Newmark method has obvious control effect and good robustness.
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Received: 08 July 2020
Published: 28 December 2021
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