水利与建筑工程学报2024,Vol.22Issue(1) :140-147,169.DOI:10.3969/j.issn.1672-1144.2024.01.019

Winkler地基上边坡锚固框架设计计算的简明有限差分法

A Concise Finite Difference Method for Calculation of Slope Anchor Frame on Winkler Foundation

杨家豪 戴自航 唐雪峰
水利与建筑工程学报2024,Vol.22Issue(1) :140-147,169.DOI:10.3969/j.issn.1672-1144.2024.01.019

Winkler地基上边坡锚固框架设计计算的简明有限差分法

A Concise Finite Difference Method for Calculation of Slope Anchor Frame on Winkler Foundation

杨家豪 1戴自航 1唐雪峰2
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作者信息

  • 1. 福州大学土木工程学院,福建福州 350108
  • 2. 自然资源部丘陵山地地质灾害防治重点实验室,福建福州 350002
  • 折叠

摘要

为克服现有Winkler地基上边坡锚固框架设计计算的有限差分法需假设框架在锚杆处截断的问题,通过建立受集中荷载作用的Winkler地基梁的挠曲微分方程,提出无需做截断处理的简明有限差分法.基于提出的差分方法,改进锚杆拉力在框架纵横梁上的分配与调整方法,并采用Matlab开发功能完善的程序.结果表明:有限差分数值解具有较高的计算精度,框架外伸段直接计算结果会出现负的土抗力,致使计算结果偏于不安全,可通过调整该段边界条件的方法予以消除,使最终计算结果更加可靠.本研究开发的差分程序对锚固框架整体设计提供了一种高效的计算方法.

Abstract

The existing finite difference methods for the design calculation of slope anchor frames resting on the Wink-ler foundation is based on the assumption of cutting off the beams at the positions of anchor bolts,resulting in the com-plexity of derivation.For that,a concise finite difference method without the truncation treatment was proposed by es-tablishing the flexural differential equation of the Winkler foundation beam subjected to concentrated loads.Additional-ly,the share and adjustment method of the tensile force on the vertical and transverse beams was modified based on the proposed finite difference method.A computation program with perfect function was then developed using the Matlab program language.The computation results of the examples show that the proposed finite element method is of very high precision.In the meantime,it found that even though the share and adjustment methods of the load at an intersection node in the existing textbooks are on the basis of the two conditions-compatible deformation and static equilibrium,the actual results cannot meet them well.In addition,negative soil resistances may occur in the direct computation results of the overhanging segments of a frame,leading to a computation result biased towards unsafety.They can be removed using the modified adjustment method to allow the results to be more reliable.Therefore,the proposed method perfectly solves the existing problems in the current approaches.

关键词

Winkler地基/边坡锚固框架/有限差分法/荷载分配与调整

Key words

Winkler foundation/slope anchor frame/finite difference method/load share and adjustment

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基金项目

福建省自然科学基金项目(2021J01600)

自然资源部丘陵山地地质灾害防治重点实验室(福建省地质灾害重点实验室)开放基金项目(FJKLGH2023K001)

出版年

2024
水利与建筑工程学报
西北农林科技大学

水利与建筑工程学报

影响因子:0.383
ISSN:1672-1144
参考文献量16
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