Static Mechanics and Dynamic Analysis and Control of Bridge Structures Under Multi-Load Coupling Effects


  • Ma Zhifang Zhengzhou Railway Vocational & Technical College, Zhengzhou Henan 450000, China
  • Sun Zhuoyu Zhengzhou Railway Vocational & Technical College, Zhengzhou Henan 450000, China
  • Yuan Yuan Zhengzhou Railway Vocational & Technical College, Zhengzhou Henan 450000, China



Static mechanics, dynamics, bridge structures, multi-loading, MR mechanics damper, mechanical control


With the rapid development and wide application of large-span bridges, the problem of dynamics and safety control of bridge structures under multiple loads is becoming more and more prominent. To realize the dynamic analysis and mechanical control of the girder structure, this paper designs a new type of magnetorheological (MR) mechanical damper based on the mechanistic analytical method and establishes a coupled dynamics model of the vehicle-rail-MR mechanical damper. The simulation and validation results show that the error between the semi-analytical method and the finite element theory calculation results is only 1.0%, while the kinetic simulation is consistent with the measured frequency domain trend. The analytical results show that: After applying MR mechanical damper for mechanical control, the moment live load and shear values of side spans were reduced by 27.68% and 10.79%, respectively; and the maximum moment and shear values generated at the center pivot were reduced by 28.19% and 10.81%, respectively. After applying the mechanical damper, the stress distribution of the cable-stayed bridge is more balanced, and the maximum diagonal stress of the overall structure is reduced from 3.8 MPa to 2.9 MPa. After safety control, the root-mean-square (RMS) value of the mid-span displacement amplitude was reduced by 59.32% and the maximum value was reduced by 11.46%, which improved the stability of the girder dynamics. After mechanical control, the dynamic acceleration response of the beam within the span decreased between 2 and 8 seconds and increased between 8 and 10 seconds. The overall response fluctuated around −5 m/s2 with a relatively smooth trend.


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Author Biographies

Ma Zhifang, Zhengzhou Railway Vocational & Technical College, Zhengzhou Henan 450000, China

Ma Zhifang received her master’s degree in engineering from Dalian University of Technology in 2013. Currently, she serves as a lecturer in the School of Railway Engineering, Zhengzhou Railway Vocational and Technical College. Her research field mainly covers bridge engineering.

Sun Zhuoyu, Zhengzhou Railway Vocational & Technical College, Zhengzhou Henan 450000, China

Sun Zhuoyu obtained a Bachelor’s degree in Bridge and River Crossing Engineering from Tianjin Urban Construction in 2015, followed by a Master’s degree in Road and Railway Engineering from Dalian Jiaotong University. He is currently a teacher at the School of Railway Engineering at Zhengzhou Railway Vocational and Technical College, mainly focusing on earthquake prevention and disaster reduction in tunnel engineering.

Yuan Yuan, Zhengzhou Railway Vocational & Technical College, Zhengzhou Henan 450000, China

Yuan Yuan received her master’s degree in engineering from Zhengzhou University in 2016. Currently, she serves as a professor in the School of Railway Engineering, Zhengzhou Railway Vocational and Technical College. Her research field mainly covers structural engineering.


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How to Cite

Zhifang, M. ., Zhuoyu, S. ., & Yuan, Y. . (2023). Static Mechanics and Dynamic Analysis and Control of Bridge Structures Under Multi-Load Coupling Effects. European Journal of Computational Mechanics, 32(04), 369–392.



Data-Driven Modeling and Simulation – Theory, Methods & Applications