基于等效推力影响线的系杆拱桥损伤识别方法研究

Research on damage identification method for tied-arch bridges based on equivalent thrust influence line

摘要

早期系杆拱桥因荷载等级与维养水平无法满足现行交通荷载需求，其结构损伤不断累积、安全风险日益凸显。为精确评估系杆拱桥结构影响线特性，识别拱肋、吊杆损伤，提出用于识别系杆拱桥吊杆与拱肋损伤的新方法和新指标。本研究基于力法方程推导并建立了与两铰拱推力影响线等效的无吊杆系杆拱推力影响线解析解，通过数值模拟验证所提实用解析解在矢跨比大于1/5的无吊杆平面系杆拱结构上具有良好的分析精度，利用等效推力影响线差值曲率对平面系杆拱结构的系杆、吊杆、拱肋，以及系杆拱桥的吊杆和拱肋进行损伤识别验证，结合灰色关联度分析所提指标的抗噪性，建立了基于三轴重车准静态影响线加载的桥梁健康评估实用流程。通过理论解析与数值验证研究表明，对于矢跨比大于1/8的无吊杆平面系杆拱结构，所推实用解析解误差低于9.57%，且误差随着矢跨比的增大而减小；提出的等效推力影响线指标能够定位系杆拱桥的吊杆与拱肋损伤，比较后发现吊杆损伤识别效果较拱肋更优，且所提方法抗噪性良好。

Abstract

Early tied-arch bridges cannot satisfy the current traffic load demand due to their load grades and maintenance levels. Also, these tied-arch bridges have accumulated structural damage with increasingly prominent safety risks. In order to accurately evaluate the influence line characteristics of the tied-arch bridges' structure and identify the damage of arch ribs and suspenders, a new method and an index for identifying damage of arch ribs and suspenders of tied-arch bridges were presented. This study is based on the force method equation, an analytical solution equivalent to the thrust influence line of the two-hinged arch was derived and established. The numerical simulation proves that the proposed practical analytical solution has good analytical accuracy on the planar tied-arch structure without suspenders whose rise-span ratios greater than 1/5. With the use of equivalent thrust influence line difference curvature, a damage identification and verification method of the tie beam, suspender and arch rib of planar tied-arch structure, as well as the suspender and arch rib of tied-arch bridges was derived in this study, and with a combination of gray relation analysis, the noise immunity of the proposed index method was verified. A practical process of bridge health assessment based on quasi-static influence line loading of three-axle heavy vehicles is established. Theoretical analysis and numerical verification show that for those planar tied-arch structure without suspenders with a rise-span ratios greater than 1/8, the calculated error of the analytic solution is less than 9.57%, and the error decreases with the increase in the rise-span ratio. With the equivalent thrust influence line index proposed in this study, the damage of suspenders and arch ribs of tied-arch bridges can be accurately located. It has been found that the proposed method is more effective in identifying the damage of suspenders than identifying the damage of arch ribs, showing good noise immunity.

关键词

系杆拱桥 / 影响线 / 等效推力 / 损伤识别 / 抗噪性

Key words

tied-arch bridge / influence line / equivalent thrust / damage identification / noise immunity

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基金资助

国家自然科学基金资助项目(52168042)

国家自然科学基金资助项目(52068049)

甘肃省建设科技资助项目(JK2023-03)

安徽省高校省级自然科学研究资助项目(2022AH050248)

安徽省高校优秀拔尖人才培育资助项目(gxgnfx2022021)

企业委托技术开发课题资助项目(HYB20220240)

企业委托技术开发课题资助项目(HYB20230001)

建筑健康监测与灾害预防国家与地方联合工程实验室开放课题资助项目(GG22KF002)

安徽省研究生教育质量工程资助项目(2023cxcysj124)