Study on Impact Coefficient Calculation of Long Span Curved Continuous Rigid Frame Bridge Based on Principal Component-stepwise Regression
韩智强1, 左新黛2, 周勇军3, 刘世忠1, 晋民杰1
1. School of Traffic and Logistics, Taiyuan University of Science and Technology, Taiyuan Shanxi 030024, China; 2. Research Institute of Highway, Ministry of Transport, Beijing 100088, China; 3. Engineering Research Center for Large Highway Structure Safety of Ministry of Education, Chang'an University, Xi'an Shaanxi 710064, China
Study on Impact Coefficient Calculation of Long Span Curved Continuous Rigid Frame Bridge Based on Principal Component-stepwise Regression
HAN Zhi-qiang1, ZUO Xin-dai2, ZHOU Yong-jun3, LIU Shi-Zhong1, JIN Min-Jie1
1. School of Traffic and Logistics, Taiyuan University of Science and Technology, Taiyuan Shanxi 030024, China; 2. Research Institute of Highway, Ministry of Transport, Beijing 100088, China; 3. Engineering Research Center for Large Highway Structure Safety of Ministry of Education, Chang'an University, Xi'an Shaanxi 710064, China
摘要In order to determine the calculation formula of impact coefficient of long-span curved continuous rigid frame bridge,Based on the mechanism of structural dynamics and vehicle-bridge coupling,the vibration equation of vehicles and bridges is established. The vehicle bridge interaction is determined through the wheel-bridge displacement coordination relationship,and the vehicle-bridge coupling analysis module of the long-span curved continuous rigid frame bridge is compiled by using MATLAB software. The dimensionality of multiple parameters is reduced by using the principal component analysis method. Comprehensively considering the target parameters with eigenvalue greater than 1 and cumulative contribution rate of variance greater than 90%,the bridge deck roughness,radius of curvature and pier height are determined as the main sensitive parameters. The calculation formulas of bridge deflection,bending moment and torque impact. coefficient are fitted and regressed by stepwise regression method. The result shows that:(1) the impact coefficient of bridge deflection is significantly affected by the bridge deck roughness and pier height,while the curvature radius has little influence on it; (2) the impact coefficient of bridge bending moment is significantly affected by the bridge deck roughness,while the pier height and curvature radius have little influence on it; (3) the bridge torque impact coefficient is greatly affected by the bridge deck roughness and curvature radius,while the pier height has little influence on it. The correlation coefficients of the bridge impact coefficient calculation formula fitted by regression are greater than 0.94,the correlation is good,and the standardized correlation coefficients of bridge deck roughness in all impact coefficient calculation formulas are more than 0.9,indicating that this factor has a great influence on the impact coefficient of the long-span curved continuous rigid frame bridge. It is suggested to consider this factor in subsequent specification revisions.
Abstract：In order to determine the calculation formula of impact coefficient of long-span curved continuous rigid frame bridge,Based on the mechanism of structural dynamics and vehicle-bridge coupling,the vibration equation of vehicles and bridges is established. The vehicle bridge interaction is determined through the wheel-bridge displacement coordination relationship,and the vehicle-bridge coupling analysis module of the long-span curved continuous rigid frame bridge is compiled by using MATLAB software. The dimensionality of multiple parameters is reduced by using the principal component analysis method. Comprehensively considering the target parameters with eigenvalue greater than 1 and cumulative contribution rate of variance greater than 90%,the bridge deck roughness,radius of curvature and pier height are determined as the main sensitive parameters. The calculation formulas of bridge deflection,bending moment and torque impact. coefficient are fitted and regressed by stepwise regression method. The result shows that:(1) the impact coefficient of bridge deflection is significantly affected by the bridge deck roughness and pier height,while the curvature radius has little influence on it; (2) the impact coefficient of bridge bending moment is significantly affected by the bridge deck roughness,while the pier height and curvature radius have little influence on it; (3) the bridge torque impact coefficient is greatly affected by the bridge deck roughness and curvature radius,while the pier height has little influence on it. The correlation coefficients of the bridge impact coefficient calculation formula fitted by regression are greater than 0.94,the correlation is good,and the standardized correlation coefficients of bridge deck roughness in all impact coefficient calculation formulas are more than 0.9,indicating that this factor has a great influence on the impact coefficient of the long-span curved continuous rigid frame bridge. It is suggested to consider this factor in subsequent specification revisions.
基金资助:Supported by the National Natural Science Foundation of China(No. 5198063), the Science and Technology Innovation Special Fund Project of Highway Institute(No.2019-I113), the Shanxi Provincial Science and Technology Project (No.201803D31076), the Key Laboratory Open Project of Chang'an University(No.300102211512)
通讯作者:
HAN Zhi-qiang
引用本文:
韩智强, 左新黛, 周勇军, 刘世忠, 晋民杰. Study on Impact Coefficient Calculation of Long Span Curved Continuous Rigid Frame Bridge Based on Principal Component-stepwise Regression[J]. Journal of Highway and Transportation Research and Development, 2022, 16(1): 9-19.
HAN Zhi-qiang, ZUO Xin-dai, ZHOU Yong-jun, LIU Shi-Zhong, JIN Min-Jie. Study on Impact Coefficient Calculation of Long Span Curved Continuous Rigid Frame Bridge Based on Principal Component-stepwise Regression. Journal of Highway and Transportation Research and Development, 2022, 16(1): 9-19.
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2022, Vol. 16 
