| 周宇,万杨旭.等截面抛物线拱支座反力影响线解析解及损伤识别研究[J].安徽建筑大学学报,2023,31(4):8-15 |
| 等截面抛物线拱支座反力影响线解析解及损伤识别研究 |
| Research on Analytical Solution and Damage Identification of Reaction Influence Lines of Equal Section Parabolic Arch Bearings |
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| DOI： |
| 中文关键词: 桥梁工程 抛物线拱 支座反力影响线 实用解析解 损伤识别 |
| 英文关键词: bridge engineering parabolic arch support reaction force line practical analytical solution damage identification |
| 基金项目:安徽省高校自然科学研究重点项目（2022AH050248）；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（GG22KF002）；甘肃省建设科技项目计划（JK2023-03）；安徽建筑大学博士基金项目（2019QDZ08） |
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| 中文摘要: |
| 基于近似弧长微分替代实际弧长微分，利用沿弧长曲线的显式拟合式，对抛物线拱桥支座反力影响线解析解表达式进行了推导。在此基础上，对比了抛物线两铰拱、无铰拱在单位力移动荷载作用下的推力影响线，并与有限元算例比对验证，证明本文方法较一般解析解拥有较高精度，两铰拱与无铰拱解析解的误差普遍控制在 2% 以内，同一算例下无铰拱误差较两铰拱略大。同时，以两铰拱与无铰拱为例，推导了损伤前后支座反力影响线的理论解析式，利用支座反力影响线建立损伤指标，利用有限元算例，对比验证了支座反力影响线用于识别抛物线拱局部损伤的可行性。 |
| 英文摘要: |
| Based on the approximate arc-length differential instead of the actual arc-length differential，the analytical solutionexpression of the parabolic arch bridge bearing reaction line is deduced by using the explicit fitting formula along the arc-length curve.With the analytical solution expression，the thrust influence curves of the parabolic two-hinged arch and unhinged arches under the unitforce moving load are compared，and was compared with the finite element calculation examples. The results show that the method hashigher accuracy than the general analytical solution，and the error is generally controlled within 2%，while the error of the unhingedarch is slightly larger than that of the two-hinged arch under the same working condition. Besides，taking the two-hinged and unhingedarches as examples，the theoretical analytical formula of the bearing reaction influence line before and after damage is deduced.The damage index is established by the bearing reaction influence line，and the feasibility of the method to identify local damages inparabolic arches is verified by the finite element examples. |
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