深圳大学学报理工版

刘焕举,韩鹤翔,黄平明,等.基于车-桥耦合振动的桥梁加固效果分析[J].深圳大学学报理工版,2018,35(No.1(001-110)):55-61.[doi:10.3724/SP.J.1249.2018.01055]
LIU Huanju,HAN Hexiang,HUANG Pingming,et al.Evaluation of the bridge reinforcement effect based on vehicle-bridge coupling vibration[J].Journal of Shenzhen University Science and Engineering,2018,35(No.1(001-110)):55-61.[doi:10.3724/SP.J.1249.2018.01055]

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基于车-桥耦合振动的桥梁加固效果分析

刘焕举,韩鹤翔,黄平明,吴松

长安大学公路学院,旧桥检测与加固技术交通行业重点实验室,陕西西安 710064

关键词：桥梁工程; 加固效果评价; 车桥耦合; 可视化; 加速度; 冲击系数

Evaluation of the bridge reinforcement effect based on vehicle-bridge coupling vibration

LIU Huanju, HAN Hexiang, HUANG Pingming, and WU Song

LIU Huanju, HAN Hexiang, HUANG Pingming, and WU SongHighway College, Key Laboratory of Bridge Detection Reinforcement Technology Ministry of Communication, Chang'an University, Xi'an 710064, Shaanxi Province, P.R.China

Keywords： bridge engineering; reinforcement effect evaluation; vehicle-bridge coupling; visualization; acceleration; impact factor

DOI: 10.3724/SP.J.1249.2018.01055

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针对当前桥梁加固效果的评价方法仅在静力条件下引入车辆荷载动力放大系数,未考虑车-桥耦合的不足,编制车-桥耦合振动分析模块,对加固效果进行分析.引入典型车辆运动方程和多梁式车-桥耦合关系,建立梁格法车-桥耦合振动系统,并实现动态可视化.以一座采用增大截面法加固的刚架拱桥为工程实例,建立桥梁加固模型,考虑车-桥耦合,建立分析模块,从各主肋位移及弯矩响应、冲击系数和车-桥系统加速度等方面对加固效果进行分析.结果表明,加固后结构的刚度有大幅提升,结构的自重也有所增大; 加固后结构刚度增大对冲击系数值影响不明显; 路况好时,冲击系数规范值适用,路况差时,冲击系数波动较大,规范值不适用; 在车-桥系统加速度方面,加固过程增加了桥梁结构刚度,使得桥梁跨中竖向加速度大幅减小,但对车辆质心加速度变化作用不明显.

The current evaluation method for the bridge reinforcement effect only includes the dynamic amplification factor of the vehicle load under static condition and ignores vehicle-bridge coupling. Aiming at the shortage, the vehicle bridge coupling vibration analysis module was developed, and the reinforcement effect was analyzed. Firstly, the typical vehicle motion equation and vehicle-multi beam bridge coupling were introduced. The vehicle-bridge coupling vibration system of grillage method was established, and the dynamic visualization was realized. Secondly, a rigid frame arch bridge strengthened by enlarged section was taken as an example. The bridge reinforcement model was established, and the vehicle-bridge coupling was taken into consideration. The reinforcement effect was analyzed in three aspects as the displacement and bending moment of the main ribs, the impact coefficient and the acceleration of the vehicle-bridge system. The results show that the stiffness of the structure is improved and the structure load is also increased after reinforcement; the influence of the increased structural stiffness after reinforcement on the impact factor is not obvious; the standard value of impact factor is applicable for good road condition, while the impact factor fluctuates greatly and thus is not applicable for poor road condition; in the aspect of the acceleration of vehicle-bridge system, the strengthening process increases the rigidity of bridge structure, which makes the vertical acceleration at middle span decrease greatly, but has little effect on the acceleration of vehicle mass center.

引言
1 桥梁加固
2 分析模块编制及计算模型建立
3 加固效果分析
4 结论

图1 远安二桥<br/>Fig.1 (Color online)Yuan'an county bridge Ⅱ

图1 远安二桥
Fig.1 (Color online)Yuan'an county bridge Ⅱ

图2 桥梁加固示意图(单位:mm)<br/>Fig.2 Sketch diagram of the bridge reinforcement(unit:mm)

图2 桥梁加固示意图(单位:mm)
Fig.2 Sketch diagram of the bridge reinforcement(unit:mm)

图3 刚架拱桥的ANSYS有限元分析模型<br/>Fig.3 (Color online)Finite element analysis model of rigid-frame arch bridge in ANSYS

图3 刚架拱桥的ANSYS有限元分析模型
Fig.3 (Color online)Finite element analysis model of rigid-frame arch bridge in ANSYS

表1 加固前后相同振型下前5阶自振特性对比<br/>Table 1 Contrast of natural frequencies of the bridge before and after reinforcement based on the same mode of vibration

表1 加固前后相同振型下前5阶自振特性对比
Table 1 Contrast of natural frequencies of the bridge before and after reinforcement based on the same mode of vibration

图4 车辆模型在刚架拱桥上的横向布置(单位:mm)<br/>Fig.4 Transverse arrangement plan of vehicle model on rigid-frame arch bridge(unit:mm)

图4 车辆模型在刚架拱桥上的横向布置(单位:mm)
Fig.4 Transverse arrangement plan of vehicle model on rigid-frame arch bridge(unit:mm)

图5 单车过桥可视化模拟<br/>Fig.5 (Color online)Visual simulation of single vehicle crossing the bridge

图5 单车过桥可视化模拟
Fig.5 (Color online)Visual simulation of single vehicle crossing the bridge

图6 加固前后各主肋跨中竖向位移时程曲线<br/>Fig.6 (Color online)Time-history curve of vertical displacement at mid-span of each main rib before and after reinforcement

图6 加固前后各主肋跨中竖向位移时程曲线
Fig.6 (Color online)Time-history curve of vertical displacement at mid-span of each main rib before and after reinforcement

图7 加固前后各主肋跨中弯矩时程曲线<br/>Fig.7 (Color online)Time-history curve of bending moment at mid-span of each main rib before and after reinforcement

图7 加固前后各主肋跨中弯矩时程曲线
Fig.7 (Color online)Time-history curve of bending moment at mid-span of each main rib before and after reinforcement

图8 加固前后各主肋竖向位移和弯矩响应的最大值曲线<br/>Fig.8 (Color online)The maximum value curve of vertical displacement and bending moment of each main rib before and after reinforcement

图8 加固前后各主肋竖向位移和弯矩响应的最大值曲线
Fig.8 (Color online)The maximum value curve of vertical displacement and bending moment of each main rib before and after reinforcement

图9 加固前后1#肋跨中位移和内力冲击系数变化曲线<br/>Fig.9 (Color online)Impact factor of displacement and internal force of 1# edge rib before and after reinforcement

图9 加固前后1#肋跨中位移和内力冲击系数变化曲线
Fig.9 (Color online)Impact factor of displacement and internal force of 1# edge rib before and after reinforcement

图10 加固前后桥梁跨中竖向加速度变化曲线<br/>Fig.10 (Color online)Vertical acceleration curve at mid-span before and after reinforcement

图10 加固前后桥梁跨中竖向加速度变化曲线
Fig.10 (Color online)Vertical acceleration curve at mid-span before and after reinforcement

表2 90 km/h速度下加固前后跨中竖向加速度RMS值和MAX绝对值对比<br/>Table 2 RMS and maximum absolute value of vertical acceleration at mid-span before and after reinforcement at vehicle speed 90 km/h

表2 90 km/h速度下加固前后跨中竖向加速度RMS值和MAX绝对值对比
Table 2 RMS and maximum absolute value of vertical acceleration at mid-span before and after reinforcement at vehicle speed 90 km/h

图11 加固前后车辆质心竖向位移和加速度变化曲线<br/>Fig.11 (Color online)Vertical displacement and acceleration curve of centroid of vehicle before and after reinforcement

图11 加固前后车辆质心竖向位移和加速度变化曲线
Fig.11 (Color online)Vertical displacement and acceleration curve of centroid of vehicle before and after reinforcement

表3 50 km/h速度下加固前后车辆质心加速度RMS值和MAX绝对值对比<br/>Table 3 RMS and maximum absolute value of vertical acceleration of vehicle centroid before and after reinforcement at vehicle speed 50 km/h

表3 50 km/h速度下加固前后车辆质心加速度RMS值和MAX绝对值对比
Table 3 RMS and maximum absolute value of vertical acceleration of vehicle centroid before and after reinforcement at vehicle speed 50 km/h

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