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| Nonlinear vibration calculation method for cable-stayed bridge based on finite element & vector form finite element method |
| WANG Tao1, HU Yupeng2, ZHANG Xingbiao1, LIU Degui1 |
1. School of Civil Engineering and Architecture, Southwest University of Science and Technology, Mianyang 621000, China;
2. Institute of System Engineering, China Academy of Engineering Physics, Mianyang 621999, China |
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Abstract Vector form finite element method in essence is an explicit dynamic time-history integration method by considering geometric nonlinearity. The basic principle of vector finite element was described. The similarities and differences between the vector form finite element method and the nonlinear finite element method dynamic calculation based on co-rotational formulation element coordinate system are compared. A program for calculating the unified algorithm framework of finite element and vector form finite element using link and beam elements was developed. It makes up for the shortcomings of the two calculation methods. The calculation model of the long-span cable-stayed bridge was established by using the program. Firstly, the nonlinear finite element method was used to calculate the static state and dynamic characteristics of the cable-stayed bridge, and the vibration of the bridge under the coupled dynamic action of train and bridge was calculated. Then, the nonlinear vibration characteristics of cable-stayed bridge under the condition of sudden cable fracture are calculated by using vector form finite element method. Finally, the vibration state of the bridge and the train when the cable breaking under train-bridge coupled dynamic effect was calculated. The results show that, the nonlinear vibration of cable-stayed bridges under failure can be simulated directly and reliably by using vector form finite element method. When the train runs near the mid-span, if the longest cable breaks suddenly in the mid-span of a cable-stayed bridge, the safety of other cables is not affected much, and the further away from the broken cables, the less affected the cables are. The sudden fracture of the cable can pose a threat to the safety of the moving train. This paper provides a new technical scheme for nonlinear vibration analysis of long-span cable-stayed Bridges under failure condition.
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Received: 09 March 2021
Published: 15 February 2022
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