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基于Winkler地基模型的锚墩格构梁结构分析

Structural analysis of lattice beam with anchor piers based on Winkler foundation model
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摘要 针对锚墩格构梁结构分析的复杂性,提出了一种新的锚墩格构梁结构分析方法。该方法采用文克尔(Winkler)地基模型,并假定锚墩整体绝对刚性。首先,根据整个锚墩的静力平衡条件及变形协调条件,基于力法理论构建并求解线性方程组,将作用于支挡结构锚索预应力的垂直分量分别分配给锚墩、横梁及纵梁。然后,对离散后的锚墩、横梁和纵梁分别单独进行结构分析,并以一个锚墩格构梁边坡锚固为案例,验证了该方法的合理性。在不同基床反力系数条件下,对锚墩格构梁进行荷载分配及变形协调分析,并对横梁和纵梁的力学响应进行分析。研究结果表明,锚墩在分担荷载方面具有显著的作用,占总荷载的45%以上,且其分担荷载的比例随基床反力系数的增大而缓慢地增大,而分配给横梁和纵梁的集中力则呈缓慢减小的趋势。在此基础上,单向梁上荷载的变化又进一步影响了横梁和纵梁的挠度、弯矩和剪力的分布规律。因此,根据边坡的实际地质情况选择合理的锚墩平面尺寸,可以实现该支挡结构的优化设计。 In view of the complexity of the structural analysis of lattice beam with anchor piers(LBAPs),a novel method for structural analysis of LBAPs was proposed.This method uses the Winkler foundation model and assumes the anchor pier to be absolutely rigid.First,based on the static equilibrium and deformation compatibility conditions of the entire anchor pier,a linear system of equations was constructed using the force method and solved.The vertical component of the prestressing from the anchor cables acting on the retaining structure was distributed to the anchor pier,cross beam and longitudinal beam,respectively.Subsequently,the discretized anchor pier,cross beam and longitudinal beam were individually analyzed.The rationality of this method was verified by introducing a case study of slope anchorage featuring a LBAPs system.Load distribution and deformation compatibility of the LBAPs,along with the mechanical responses of the cross beams and longitudinal beams,were analyzed under different coefficients of subgrade reaction.The results show that the anchor pier plays a significant role in load sharing,accounting for more than 45%of the total load.The proportion of load shared by the anchor pier increases slowly with increasing coefficient of subgrade reaction,while conversely,the loads distributed to the nodes of the lattice beam decrease gradually.On this basis,the change of load acting on the one-way beam further affects the distribution patterns of the deflection,bending moment and shear curves of the cross and longitudinal beams.Therefore,selecting a reasonable plane size for the anchor piers based on the actual geological conditions of the slope can optimize the design of this retaining structure.
作者 樊军伟 杨仕教 孙冰 邓波 唐昌意 FAN Junwei;YANG Shijiao;SUN Bing;DENG Bo;TANG Changyi(School of Resource Environment and Safety Engineering,University of South China,Hengyang 421001,China;School of Civil Engineering,University of South China,Hengyang 421001,China;School of Civil Engineering,Southwest Jiaotong University,Chengdu 611752,China;Zhuhai Institute of Urban Planning&Design,Zhuhai 519000,China)
出处 《自然灾害学报》 北大核心 2026年第1期172-184,共13页 Journal of Natural Disasters
基金 国家自然科学基金项目(52308356) 湖南省自然科学基金面上项目(2024JJ5334) 湖南省教育厅一般项目(20C1608) 湖南省普通高等学校教学改革研究项目(HNJG-2021-0622) 衡阳市科技创新计划项目(202250045321)。
关键词 锚墩格构梁 结构分析 文克尔地基模型 力法 基床反力系数 荷载分配 边坡工程 lattice beam with anchor piers(LBAPs) structural analysis Winkler foundation model force method coefficient of subgrade reaction load distribution slope engineering
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