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i
摘 要
抗滑桩作为滑坡治理项目中的有效支挡结构,已被广泛运用于工程实际。抗滑桩的
设计计算方法相对成熟,即先根据滑坡推力拟定抗滑桩的参数(桩长、桩截面尺寸、锚
固深度、桩间距等),求出最大弯矩、剪力及其存在位置,通过地基强度校核,如果抗
滑桩作用于地基的弹性应力超过地层允许应力值或远小于地层允许应力值时,则需调整
桩身参数,重新计算,直至符合要求,最后再进行配筋计算。虽然方法明确,但计算过
程较为繁琐,工作效率相对不高,不能顺应当今信息化时代的发展潮流。并且最终参数
也只是符合设计要求的一组“可行解”,并非“最优值”。因此开发一套简便实用、且
可视化程度较高的抗滑桩优化设计软件是一个亟待解决的问题。
论文首先基于抗滑桩设计计算的基本理论,选用MATLAB作为开发工具,编制了滑
坡推力计算、内力计算和配筋计算的三个模块,实现了抗滑桩设计计算软件的编制。其
次,在该抗滑桩设计计算软件的基础上,将微分演化算法引入到抗滑桩优化设计领域,
提出了一种新的抗滑桩优化设计理论,并编制了交互式抗滑桩优化设计应用软件,实现
了抗滑桩连续型变量优化与离散型变量优化设计。最后,通过工程实例,对本软件和其
他软件的计算结果进行了对比,同时对连续型变量优化设计、离散型变量优化设计和抗
滑桩传统设计三者的材料造价进行对比。
验证结果表明了该软件的稳定性和可靠性,本文提出的新的优化方法,在优化效果、
工作效率和使用便利程度方面较传统手段有很大提高和改善,为抗滑桩优化设计的实际
工程应用奠定了良好的基础。
关键词:滑坡推力,桩体内力,桩身配筋,微分演化算法,抗滑桩优化设计
ii
Abstract
As an effective retaining structure in the landslide control project, anti slide pile has been
widely used in engineering practice. The design and calculation of anti slide pile is mainly
based on trial calculation. Firstly according to the landslide thrust parameters of anti slide pile
(pile length, pile section size, anchorage depth, pile spacing, etc.) to obtain the maximum
bending moment, shearing force and position, through the foundation strength check, if the
anti slide pile in foundation elastic stress exceeds the allowable stress of formation or far less
than the allowable stratum the stress value, then adjust the pile parameters, re calculation,
until it meets the requirements, and finally reinforcement calculation. Although the method is
clear, but the calculation process is cumbersome, the work efficiency is relatively low, can not
comply with the current trend of the development of the information age. And the final
parameters are only a set of feasible solutions that meet the design requirements, not the
optimal values. Therefore, it is an urgent problem to develop a simple, practical and
visualized software for optimal design of anti slide piles.
Based on the basic theory of anti slide pile design calculation, using MATLAB as a
development tool, developed three module for calculating landslide thrust calculation, internal
force calculation and reinforcement, the software of anti slide pile design. Secondly, on the
basis of the anti slide pile design calculation software, the differential evolution algorithm is
introduced to the optimization design of anti slide pile, a new anti slide pile optimization
design theory is put forward, and the preparation of the interactive optimization design of anti
slide pile application software, the anti slide pile continuous and discrete variable
optimization type variables optimization design. Finally, through the engineering example, the
paper compares the material cost of the three variables, the continuous variable optimization
design, discrete variable optimization design and the traditional design of anti slide pile.
The result shows that the stability and reliability of the software, a new optimization
method proposed in this paper, the optimization effect and work efficiency and convenience
compared with the traditional method has greatly improved, and laid a good foundation for
the practical application of anti slide pile optimization design.
Key words: landslide thrust,internal force of pile,pile reinforcement,differential evolution
algorithm,optimized design of anti-slide pile
iii
目 录
第一章 绪论 ......................................................................................................... 1
1.1 研究背景与意义 ............................................................................................................ 1
1.2 研究现状 ........................................................................................................................ 1
1.2.1 滑坡治理软件研究现状 ........................................................................................ 1
1.2.2 MATLAB 的应用现状 ............................................................................................ 2
1.2.3 抗滑桩设计计算研究现状 .................................................................................... 3
1.2.4 抗滑桩优化设计研究现状 .................................................................................... 4
1.3 论文主要研究内容 ........................................................................................................ 4
1.4 研究方法与技术路线 .................................................................................................... 5
第二章 滑坡推力计算的 MATLAB 程序实现 .................................................. 7
2.1 滑坡推力概述 ................................................................................................................ 7
2.2 滑坡推力的计算理论 .................................................................................................... 8
2.2.1 传递系数法 ............................................................................................................ 8
2.2.2 考虑地震和水作用时的传递系数法 .................................................................... 9
2.3 条块的面积计算 .......................................................................................................... 11
2.4 滑坡推力计算的程序实现 .......................................................................................... 12
2.4.1 编制依据 .............................................................................................................. 12
2.4.2 程序编制过程 ...................................................................................................... 13
2.4.3 滑坡参数输入 ...................................................................................................... 15
2.4.4 滑坡推力计算 ...................................................................................................... 19
2.5 本章小结 ...................................................................................................................... 22
第三章 抗滑桩内力计算的 MATLAB 程序实现 ............................................ 23
3.1 概述 .............................................................................................................................. 23
3.1.1 抗滑桩上的作用力 .............................................................................................. 23
3.1.2 桩平面布置及桩距的确定 .................................................................................. 24
3.1.3 桩的锚固深度 ...................................................................................................... 25
3.1.4 桩底支撑条件 ...................................................................................................... 25
3.1.5 刚性桩与弹性桩的判别 ...................................................................................... 26
3.1.6 内力计算内容介绍 .............................................................................................. 27
3.2 抗滑桩计算方法介绍 .................................................................................................. 27
3.2.1 抗滑桩计算方法概述 .......................................................................................... 27
3.2.2 桩身内力计算 ...................................................................................................... 28
3.3 抗滑桩内力计算的程序实现 ...................................................................................... 33
iv
3.3.1 程序编制过程 ....................................................................................................... 34
3.3.2 参数输入 ............................................................................................................... 37
3.3.3 结果输出与保存 ................................................................................................... 39
3.4 本章小结 ...................................................................................................................... 40
第四章 抗滑桩配筋计算的 MATLAB 程序实现及工程实例 ........................ 41
4.1 桩配筋计算理论简介 .................................................................................................. 41
4.2 矩形截面桩配筋理论 .................................................................................................. 41
4.3 对斜截面承载力的验算 .............................................................................................. 43
4.4 抗滑桩配筋的程序实现 .............................................................................................. 46
4.4.1 纵筋配筋程序编制过程 ....................................................................................... 46
4.4.2 箍筋验算程序编制 ............................................................................................... 48
4.4.3 参数输入与结果输出 ........................................................................................... 49
4.5 工程实例 ...................................................................................................................... 51
4.5.1 工程概况 ............................................................................................................... 51
4.5.2 程序计算过程及结果显示 .................................................................................... 52
4.5.3 结果对比 ............................................................................................................... 59
4.6 本章小结 ...................................................................................................................... 59
第五章 基于微分演化算法的抗滑桩优化设计 ............................................... 60
5.1 优化设计的基本概念 .................................................................................................. 60
5.2 DE 算法介绍................................................................................................................. 61
5.3 基本微分演化算法 ...................................................................................................... 61
5.3.1 变异过程 ............................................................................................................... 61
5.3.2 交叉过程 ............................................................................................................... 62
5.3.3 选择过程 ............................................................................................................... 62
5.3.4 算法参数的选取 ................................................................................................... 63
5.4 基于 DE 的抗滑桩优化设计程序 ............................................................................... 64
5.4.1 抗滑桩单目标尺寸优化的数学描述 ................................................................... 64
5.4.2 程序实现 ............................................................................................................... 65
5.4.3 程序编制过程 ....................................................................................................... 67
5.5 连续型变量抗滑桩优化设计工程实例 ...................................................................... 71
5.5.1 数学模型 ............................................................................................................... 71
5.5.2 计算结果 ............................................................................................................... 72
5.6 离散型变量抗滑桩优化设计工程实例 ...................................................................... 73
5.6.1 数学模型 ............................................................................................................... 74
5.6.2 计算结果 ............................................................................................................... 74
5.7 本章小结 ....................................................................................................................... 75
v
第六章 结论与展望 ........................................................................................... 77
6.1 结论 .............................................................................................................................. 77
6.2 展望 .............................................................................................................................. 77
参考文献 ............................................................................................................. 79
附录(部分关键程序代码) ............................................................................. 83
攻读学位期间取得的研究成果 ......................................................................... 92
致 谢 ................................................................................................................. 93
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