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    基于无铰拱挠度影响线的上承式拱桥损伤识别研究

    Damage Identification of Deck Arch Bridge Based on Influence Line of Fixed-end Arch Deflection

    • 摘要: 通过弹性中心法简化悬链线无铰拱体系力法方程,利用近似曲线拟合简化拱轴曲线积分,推导无铰拱结构拱顶冗力影响线解析表达式,研究了移动荷载与测点、损伤点相对位置之间的规律,得到结构损伤前后任意点的挠度影响线解析表达式,进而求解结构损伤前后挠度影响线差值曲率解析解.研究表明,当移动荷载作用于拱结构损伤区域内时,挠度影响线差值曲率曲线产生突变,从理论上证明了该指标可以用于无铰拱结构损伤识别,进而提出挠度影响线差值曲率损伤识别指标.以无铰拱桥主要受力构件拱肋为研究对象,通过构建不同损伤工况下挠度影响线差值曲率幅值曲线,拟合损伤程度—幅值关系公式,并反演损伤程度,实现损伤程度的精确定量,并结合某上承式箱型拱桥结构模型算例验证,表明所提损伤识别方法用于拱桥结构损伤识别效果良好,具有工程应用价值.

       

      Abstract: Through the elastic center method simplify the catenary system of fixed-end arch force method equation,using curvilinear integral approximate curve fitting to simplify the arch axis,vault redundant force influence line fixed-end arch structure is derived analytical expression,moving load is studied and the measuring point,damage,the relative position between the rule,get any point before and after the structural damage analytic expressions of deflection influence line,then the analytical solution of curvature difference of deflection influence line before and after structural damage is solved.The research shows that when the moving load is applied to the damage area of the arch structure,the deflection influence line difference curvature curve has a sudden change.It is theoretically proved that this index can be used to identify the damage of the fixed-end arch structure,and then the deflection influence line difference curvature damage identification index is proposed.The arch rib of the main stressed component of fixed-end arch bridge was taken as the research object.The damage degree-amplitude relationship formula was fitted by constructing the difference curvature amplitude curve of deflection influence line under different damage conditions,and the damage degree was inverted to achieve the accurate quantification of the damage degree,which was verified by the calculation example of a deck box arch bridge structure model.The results show that the proposed damage identification method is effective for arch bridge structure damage identification and has engineering application value.

       

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