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横坡段桥梁双桩双柱式结构受力特征与解析模型

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山区桥梁基础不可避免地建立在陡坡上,不稳定斜坡变形或破坏将会对上覆桥跨结构安全造成严重威胁,亟需研究高效、可靠的力学模型.首先,对横坡段桥梁双桩双柱式结构划分不同特征段,分析其受力特性;其次,考虑桩土相互作用和桩顶变形协调关系并引入边界条件,建立适用于横坡段桥梁双桩双柱式结构内力及位移的简化模型;第三,综合考虑P-Δ效应及盖/系梁对桩柱受力影响,引入相邻特征段满足的连续条件(即位移、转角、剪力及弯矩连续),建立挠曲微分方程并以MATLAB为平台编制相应计算程序,提出横坡段桥梁双桩双柱式结构基础内力及位移的幂级数解;最后,将模型结果与有限元计算结果对比,验证模型的可靠性.研究结果表明:本文提出的模型将桥墩与桩基础视为整体,对于多道系梁的结构分析该模型同样适用;模型考虑了横向联系对两桩轴向力和弯矩的分配,可获取横向联系中的横向力;模型不需要假设自由段剪力和迭代计算.随着剩余下滑力增大,结构各特征段前后桩位移和弯矩明显增加;横向联系对桩基位移及内力进行了重新分配,有较强的约束作用,能够较好地改善前后桩受力与变形情况.
Mechanics characteristics and analytical model of double-pile and double-column structure of bridge on steep transverse slope
The foundation of bridge in mountain area is inevitably built on steep slope,and the deformation or failure of unstable slope will pose a serious threat to the safety of overlying bridge span,so it is urgent to develop an efficient and reliable mechanical model.Firstly,the double pile and double column structure of the bridge was divided into different characteristic sections,and its mechanical characteristics were analyzed.Secondly,considering the coordination relationship between pile-soil interaction and pile top deformation,and introducing boundary conditions,a simplified model for the internal force and displacement of double-pile and double-column structure of bridge on cross slope section was established.Thirdly,considering the influence of P-Δ effect and cap/tie beam on the force of pile,the continuous conditions(i.e.,continuity of displacement,rotation angle,shear force and bending moment)satisfied by adjacent feature sections were introduced,the flexure differential equation was established,and the corresponding calculation program was compiled on the MATLAB platform.The power series solution of the internal force and displacement of the foundation of the double-pile and double-column structure of the bridge on the cross slope section was proposed.Finally,the reliability of the model was verified by comparing the model results with the finite element calculation results.The results show that the proposed model regards pier and pile foundation as a whole,and the model is also applicable to the structural analysis of multi-channel beams.The model takes into account the distribution of axial force and bending moment of the two piles in the transverse connection,and obtains the transverse force in the transverse connection.In addition,the model does not need to assume free section shear forces and iterative calculations.With the increase of residual glide force,the displacement and bending moment of piles in front and back of each characteristic section of the structure increase obviously.The lateral connection redistributes the displacement and internal force of pile foundation and has a strong constraint effect,which can better improve the load and deformation of front and rear piles.

bridge on transverse slopedouble pile and double column structuremechanics characteristicpower series solutionfinite element analysis

王佳佳、陈效坤、肖莉丽、陈星潮、陈浩、李枝强

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长安大学公路学院,陕西西安,710000

横坡段桥梁 双桩双柱结构 受力特征 幂级数解 有限元分析

国家自然科学基金国家自然科学基金国家重点研发计划国家重点研发计划

41907237419072342019YFB16007022021YFB1600302

2024

中南大学学报(自然科学版)
中南大学

中南大学学报(自然科学版)

CSTPCD北大核心
影响因子:0.938
ISSN:1672-7207
年,卷(期):2024.55(3)
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