基于Kerr地基模型的覆土荷载引起既有装配式地铁车站沉降分析

Settlement Analysis of Existing Prefabricated Subway Stations Induced by Overburden Backfill Load Based on Kerr Foundation Model

  • 摘要: 分步覆土回填会引起装配式结构纵向不均匀沉降,但已有的纵向变形计算模型往往忽略由地基自身沉降引起的装配式衬砌变形。鉴于此,基于纵向等效连续梁理论对Kerr地基上Timoshenko梁模型进行优化,建立可考虑地基自身沉降和土体剪切作用的装配式地铁车站纵向变形计算模型,并与现场实测结果进行对比验证。研究结果表明:与Euler-Winkler模型、Timoshenko-Pasternak模型理论计算结果相比,所提的理论方法在保证计算精度的同时,能够揭示地基沉降引起的装配式结构纵向变形特征;所提方法能有效揭示监测环竖向沉降变化趋势,预测的纵向沉降值与实测数据吻合良好,误差仅为0.3%;在覆土荷载和地基沉降等综合因素影响下,装配式结构发生屈曲并形成新的稳定结构,该现象可解释装配式结构中环段与接头变形不连续现象。

     

    Abstract: The sequential soil backfilling process can lead to longitudinal uneven settlement in prefabricated struc? tures. However, existing longitudinal deformation models often neglect the deformation of prefabricated linings caused by foundation settlement. To address this, an optimized longitudinal deformation model for prefabricated subway stations is established based on an improved Timoshenko beam model on a Kerr foundation, considering foundation settlement and soil shear effects. The model is validated through comparisons with field measurements. The study shows that, compared to theoretical results from the Euler-Winkler model and the Timoshenko-Pasternak model, the proposed method not only ensures calculation accuracy but also reveals the characteristics of longitudinal deformation induced by foundation settlement. The method effectively captures the trend of vertical settlement at monitoring rings, with predicted longitudinal settlement values showing good agreement with measured data, having an error of only 0.3%. Under the combined effects of overburden load and foundation settlement, buckling occurs in the prefabricated structure, forming a new stable structure, which explains the discontinuous deformation between rings and joints in prefabricated structures.

     

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