| 万杨旭,马新新.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(): |
| 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 |
| 投稿时间：2022-07-18 修订日期：2023-02-09 |
| 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:教育部人文社会科学研究项目；安徽省自然科学基金-面上项目 |
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| 摘要点击次数: 870 |
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| 中文摘要: |
| 鉴于抛物线拱影响线解析解研究不充分的现状，使用近似弧长微分表达式替代精确弧长微分，得出曲线积分的显式表达式，简化了抛物线拱桥影响线解析解表达式。基于此方法，对抛物线两铰拱、无铰拱在单位力移动荷载作用下的推力影响线表达式进行了推导，并与有限元算例比对结果证明了本文方法比常规解析解有更好的精度，得出了两铰拱、无铰拱结构变化形式下推力影响线计算解的误差变化与控制规律，比有限元法数值解有更一般的表达式。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，利用有限元算例进行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: |
| In view of the insufficient research on the analytical solution of the influence line of the parabolic arch, the approximate arc length differential expression is used to replace the exact arc length differential, and the explicit expression of the curve integral is obtained, which simplifies the analytical solution expression of the influence line of the parabolic arch bridge. Based on this method, the expression of thrust influence line of parabolic two-hinged arch and unhinged arch under the action of unit force moving load is deduced, and the comparison with the finite element calculation results proves that the method in this paper is better than the conventional analytical solution. The error variation and control law of the calculation solution of the thrust influence line under the structural variation of the two-hinged arch and the unhinged arch are obtained, which have a more general expression than the numerical solution of the finite element method. At the same time, taking the two-hinged arch and the unhinged arch 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 finite element example is used to compare and verify the bearing reaction. Feasibility of force influence lines for identifying local damage in parabolic arches. |
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