双层地基水平受荷桩受力变形分析

基于双层地基中的水平受荷桩的特性,对其受力变形进行了分析。将水平受荷桩视为竖直放置的弹性地基梁,基于Winkler弹性地基梁理论,考虑桩土共同工作得到水平受荷桩位移控制微分方程及其幂级数解答,进而根据内力与位移的连续条件得到了由桩顶受力及变形条件表示任一深度处桩身的水平位移、转角、弯矩及剪力的计算矩阵表达式。通过一具体算例将幂级数解计算结果与《公路桥涵地基与基础设计规范》推荐的简化计算公式计算结果进行了比较。结果表明：当第1层地基土的厚度在某一定值时,《规范》简化计算方法所得结果与幂级数解接近;但当层厚不在该值附近时,两个方法计算结果存在差异。     

传递矩阵法分析层状地基中桩的扭转变形

研究了扭矩作用下单桩的扭转变形.采用积分变换和传递矩阵方法,求解了成层土在内部环形荷载作用下的基本解;利用此基本解并考虑桩土位移协调条件,提出了层状地基中单桩扭转变形分析的解析方法;并按此理论方法对匀质地基模型进行了数值计算,其结果与已有经典解答相当吻合.     

基于能量法的轴横向荷载作用下单桩受力变形分析

轴向和横向荷载作用下单桩的受力变形分析是桩基研究的重点内容之一。单桩在水平荷载作用下会产生一定的水平位移与弯矩,而此时作用轴向荷载会使得桩体出现一定的压曲与附加弯矩,以致轴横向荷载作用下的单桩受力变形与单独作用水平荷载或轴向荷载的单桩存在较大的区别。故本文基于能量法,首先分别建立轴横向荷载作用下单桩的受力变形能量方程以及桩周土体能量方程,然后考虑桩土变形协调与一定的桩土相互作用,基于最小势能原理得到单桩变形控制微分方程,并采用幂级数法进行求解,最终得到轴横向荷载作用下单桩受力变形分析的幂级数解答。通过编程计算,将本文方法计算结果与试验结果、数值分析结果、规范法计算结果进行对比分析,验证了本文方法的合理性和可行性。在此基础上,基于本文解答进行了影响参数分析,结果表明:桩体长径比、桩土弹性模量比、桩周土模量深度变化系数均对轴横向受荷单桩的桩身水平位移与最大弯矩值有一定的影响,其中桩周土模量深度变化系数以不小于0.6为宜。     

多向荷载作用下层状地基刚性桩筏基础分析

提出一种多向荷载作用下层状地基中刚性桩筏基础的计算方法。基于剪切位移法,采用传递矩阵形式分析了竖向荷载下桩顶面-桩顶面相互作用;引入修正桩侧地基模量,采用有限差分法分析了水平荷载下桩顶面-桩顶面相互作用;基于层状弹性半空间理论,分析了多向荷载下桩顶面-土表面、土表面-桩顶面、土表面-土表面的相互作用关系。建立了桩土体系柔度矩阵,得到了多向荷载下层状地基中刚性桩筏基础的受力和变形的关系以及桩的内力和变形沿桩身分布规律。通过与有限元对比,验证了该方法的合理性和修正地基模量的优越性,并对多向荷载作用下的桩筏基础进行了计算分析,计算结果表明,水平力将会引起桩筏基础的倾斜。     

多层地基中PCC水平荷载桩的数值解

针对目前多层地基中水平荷载桩计算方法存在的问题,提出了一种基于弹性力学理论,根据桩-土应力应变关系,借助于变分原理和最小势能原理导出桩身位移控制方程,利用有限差分法对方程进行解答的方法,并编制了全桩位移和内力计算程序。算例结果表明,该方法分别同试验结果和有限元计算结果吻合较好,较现行地基系数法具有较高的计算精度和计算效率,对现浇混凝土大直径水平荷载管桩（PCC）的设计计算和分析具有一定的指导意义。     

成层土中倾斜荷载作用下桩承载力有限元分析

利用有限元方法对现场单桩水平载荷试验进行模拟,在此基础上,分析了成层土中桩在倾斜荷载作用下其竖向分量的有利作用和横向土抗力分布特点。计算结果表明,在地面下一定范围内,倾斜荷载作用下的桩侧摩阻力比水平荷载作用下的桩侧摩阻力大。在土层分界处土抗力分布有明显的跳跃。达到一定深度后,横向土抗力主要是静止土压力,而由荷载引起的横向土抗力很小。承台能有效减小土体及桩的水平位移。模拟的灌注桩和钢管桩桩顶在地面以上的自由长度较小,竖向分量由于桩身挠曲变形而产生的P-Δ效应较小,所以就算例中的灌注桩和钢管桩而言,荷载倾斜度不大时,荷载竖向分量提高了桩的侧阻并由此增大桩侧土竖向应力,对桩水平承载力总体上起到了有利的作用。     

多层地基中超长桩荷载传递机理的非线性计算方法

目前超长桩的理论远远落后于实践,分析超长桩的受力性能,提出合理的承载力计算模式及相应的计算参数是目前急需解决的问题.论文基于超长桩试验资料,提出与超长桩桩侧土工作性状相适应的弹性-软化-稳定三阶段荷载传递模型;桩端采用双曲线荷载传递模型模拟土的非线性变形特性;桩身引入混凝土的Rusch模型,以考虑高荷载水平作用下超长桩桩身混凝土的弹塑性性状.通过桩身任意处微段竖向受力平衡,建立考虑桩身混凝土弹塑性关系的桩土体系荷载传递基本方程,在综合考虑桩侧土软化稳定和桩端土非线形的基础上得到与超长桩工作性状相适应的层状地基中超长桩荷栽传递分析方法,并根据模型编制了相应的C语言程序进行实例分析.计算得到的荷栽-沉降曲线与实测的曲线吻合较好.本文方法适用于计算多层地基中超长桩的沉降和极限承载力,也可用于分析层状地基中超长桩的荷载传递规律.经过对工程实例的计算与实测对比分析,证明该法简单、可靠,且具有较好的适用性.     

考虑土体屈服的纵横荷载单桩变形内力分析

为提高桩身变形较大时纵横荷载单桩的设计计算水平,假定地基反力系数沿深度线性增加,考虑土体屈服及纵向荷载的P-?效应并计入桩身自重和桩侧摩阻力的影响,得到了地面以下桩身变形和内力的幂级数解。结合已有的地面以上桩身响应的幂级数解,采用Fortran语言编制了计算程序。计算结果表明：桩顶位移、地面处桩身位移及桩身最大弯矩均随纵横向荷载和自由段桩长的增加而增大,并随土体屈服位移的增加而减小;纵向荷载足够大时桩基失稳;桩顶约束条件对桩的响应影响很大。计算值与模型试验的实测值吻合较好,所得解和程序是可靠的。     

多层软土地基中单桩沉降与内力位移分析

根据深厚多层软土地区地基土的物理力学性质,考虑桩侧土低荷载水平下的初始极限剪应力和高荷载水平下的应力软化特性以及桩端土承载力分段发挥特性,采用一种新的桩侧和桩端模型模拟单桩荷载传递机制。基于上述模型,利用递推迭代方法可计算单桩桩顶沉降、桩身轴力以及桩侧摩阻力。采取土工参数易于获取且适用于软土地区的经验p-y曲线描述桩-土界面力和位移的非线性关系。基于欧拉-伯努利梁和中心差分理论,考虑桩尖边界条件,采用数值计算方法对桩沿长度方向的转角、剪力、弯矩进行计算,以获取在特定荷载下这些变量的变化特征。最后,结合工程案例,对上述方法进行了验证,其计算简洁且与实际测试结果吻合良好。     

刚性桩复合地基水平承载力特性

利用三维非线性弹性有限元方法,研究了刚性桩复合地基在不同垂直荷载作用下的水平承载力特性,分析了不同褥垫层厚度及其地基土的性质对复合地基水平受力特性的影响,得出了水平荷载作用下桩身弯矩和挠度的分布规律。研究表 明,垂直荷载的大小改变了复合地基水平荷载作用下的破坏模式,直接影响着其水平承载力;适当的垫层厚度可降低桩所分担的水平荷载,有利于桩身的安全。     

考虑应力扩散时桩端土性对单桩沉降影响分析方法

基于虚土桩模型,分析了层状地基中桩端土性对单桩沉降特性的影响。首先,以虚土桩扩散角反映桩端土层应力扩散效应,将桩端一定锥角范围内由桩端至基岩面的土体视为虚土桩,并根据其变截面特性,将虚土桩沿纵向划分为有限个微元段。然后,对桩及虚土桩桩侧土体采用理想弹塑性荷载传递模型,利用荷载传递法,推导了层状地基中以桩侧土塑性发展深度为变量的单桩荷载-沉降递推计算方法,并进一步得到了桩身轴力及桩侧摩阻力递推计算式。在此基础上,给出了荷载传递模型参数选取方法,并分析了虚土桩临界深度的影响因素及由实测荷载-沉降曲线反演虚土桩扩散角的可行性。最后,利用该方法分析了桩端沉渣和软弱下卧层对荷载-沉降曲线的影响。结果表明,考虑桩端土层应力扩散效应时,通过计算得到的桩顶及桩端荷载-沉降曲线与实测曲线吻合较好;当桩端存在沉渣或软弱下卧层时,采用虚土桩模型的单桩沉降计算方法可以在一定程度上反映沉渣特性及软弱下卧层埋深等因素对桩顶荷载-沉降曲线的影响。     

考虑砂土地基预制桩侧向挤土影响的单桩承载力分析研究

预制桩的沉桩过程产生了对桩周土体的挤密作用,桩周土体的力学特性发生了相应的改变,这种改变会直接影响预制桩桩基础的承载力。利用有限元计算分析方法对砂性土地基预制桩沉桩过程进行了数值求解,得到了桩周土体的位移和应力变化规律;在应力路径控制的三轴试验中,模拟土体在受到预制桩沉桩影响的应力状态,试验研究了标准砂在再受荷载作用时的力学特性;在荷载传递法中,运用桩周土体性质的变化试验结果,进行了有限差分数值分析,得到了考虑和不考虑挤土作用的单桩P-S曲线。研究结果表明：预制桩的沉桩过程对桩周土中的径向和轴向应力都有明显的影响,对径向应力的影响大于对轴向应力的影响;挤土效应提高了桩周土的剪切模量值和强度,影响范围大致相当;考虑沉桩侧向挤土影响单桩承载特性有明显的提高,现行的预制桩设计偏于安全。     

Soil‐pile interaction in the pile vertical vibration considering true three‐dimensional wave effect of soil

The dynamic response of an end bearing pile embedded in a linear visco‐elastic soil layer with hysteretic type damping is theoretically investigated when the pile is subjected to a time‐harmonic vertical loading at the pile top. The soil is modeled as a three‐dimensional axisymmetric continuum in which both its radial and vertical displacements are taken into account. The pile is assumed to be vertical, elastic and of uniform circular cross section. By using two potential functions to decompose the displacements of the soil layer and utilizing the separation of variables technique, the dynamic equilibrium equation is uncoupled and solved. At the interface of soil‐pile system, the boundary conditions of displacement continuity and force equilibrium are invoked to derive a closed‐form solution of the vertical dynamic response of the pile in frequency domain. The corresponding inverted solutions in time domain for the velocity response of a pile subjected to a semi‐sine excitation force applied at the pile top are obtained by means of inverse Fourier transform and the convolution theorem. A comparison with two other simplified solutions has been performed to verify the more rigorous solutions presented in this paper. Using the developed solutions, a parametric study has also been conducted to investigate the influence of the major parameters of the soil‐pile system on the vertical vibration characteristics of the pile. Copyright © 2013 John Wiley & Sons, Ltd.     

基于桩身应力测试的静压PHC管桩贯入机制

压桩过程中PHC管桩侧摩阻力与端阻力的分离是制约其贯入机制及承载力研究的瓶颈。通过桩身预埋准分布式FBG光纤传感器,对贯入成层土地基中5根足尺开口PHC管桩侧摩阻力及端阻力发展变化情况进行了监测。试验表明,准分布式光纤传感测试技术现场可操作性强,粗放施工环境下贯入阻力分离效果较为理想。成层土地基中压桩力曲线基本反映地层土性变化,桩端土层性状对压桩力影响较大。硬质土层界面处试桩压桩力平均增幅约为64.06%,端阻力受地层变化影响更为显著,平均增长幅度约为97.41%,侧摩阻力平均增长幅度约为17.92%;桩端位于非硬质土层试桩压桩力变化不明显。贯入过程中现场足尺试验桩身应力变化不同于室内模型试验,桩身上、下部侧摩阻力发挥的力学机制不同。受现场粗放施工条件及深度方向土层变化影响,贯入成层土地基中桩侧摩阻力临界深度现象不明显。     

非均质土中桩端扩散虚土桩法的桩基纵向振动研究

根据桩端土应力扩散的规律,建立了桩端扩散虚土桩模型。基于该模型对非均质土中桩-土纵向耦合振动进行研究。利用复刚度传递多圈层平面应变模型,得到桩与虚土桩桩侧土的剪切复刚度。结合边界条件、初始条件和连续条件,对扩散虚土桩和实体桩动力方程从底层往顶层逐层进行求解,得到桩顶动力响应的频域解析解和时域半解析解。通过对桩端扩散虚土桩扩散角、扩散层厚度、桩侧土非均质性和桩长的影响进行计算分析,得到基于扩散虚土桩法桩-土纵向振动响应特性。研究结论可为桩基础动力设计和动态检测提供理论依据。     

Vertical impedance of an end‐bearing pile in viscoelastic soil

This paper presents a new method to derive the analytical solution for the vertical impedance of an end‐bearing pile in viscoelastic soil. The soil is assumed as a homogeneous and isotropic layer, and the pile is considered as a one‐dimensional Euler rod. Considering both the vertical and radial displacements of soil and soil–pile coupled vibration, the governing equations of the soil and pile are established. The volumetric strain of soil is obtained by transformation on the equations of soil and variable separation method. Then the vertical and radial displacements of soil are obtained accordingly. The displacement response and impedance function of pile are derived based on the continuity assumption of the displacement and stress between the pile and soil. The solution is verified by being compared with an existing solution obtained by introducing potential functions. Furthermore, a comparison with two other simplified solutions is conducted. Numerical examples are presented to analyze the vibration characteristics of the pile. Copyright © 2014 John Wiley & Sons, Ltd.     

Vertical dynamic response of a pipe pile in saturated soil layer

An analytical solution is developed in this paper to investigate the vertical time-harmonic response of a pipe pile embedded in a viscoelastic saturated soil layer. The wave propagation in the saturated soil is simulated by Biot’s 3D poroelastic theory and that in the pipe pile is simulated by 1D elastodynamic theory. Potential functions are applied to decouple the governing equations of the soil. The analytical solutions of the outer and inner soil in frequency domain are obtained by the method of separation of variables. The vertical response of the pipe pile is then obtained based on the continuity assumption of the displacement and stress between the pipe pile and both the outer and inner soil. The solution is compared with existing solutions to verify the validity. Numerical examples are presented to analyze the vibration characteristics of the pile.     

Analysis of soil–pile–structure interaction in a two‐layer ground during earthquakes considering liquefaction

This study is conducted with a numerical method to investigate the seismic behaviour among certain soils, single piles, and a structure. A series of numerical simulations of the seismic behaviour of a single‐pile foundation constructed in a two‐layer ground is carried out. Various sandy soils, namely, dense sand, medium dense sand, reclaimed soil, and loose sand, are employed for the upper layer, while one type of clayey soil is used for the lower layer. The results reveal that when a structure is built in a non‐liquefiable ground, an amplification of the seismic waves is seen on the ground surface and in the upper structure, and large bending moments are generated at the pile heads. When a structure is built in a liquefiable ground, a de‐amplification of the seismic waves is seen on the ground surface and in the upper structure, and large bending moments are generated firstly at the pile heads and then in the lower segment at the boundary between the soil layers when liquefaction takes place. Copyright © 2007 John Wiley & Sons, Ltd.     

基于联合求解法的疏桩地基沉降计算方法研究

疏桩基础作为一种工期短、效果好的软土地基处理方式,在工程中的应用越来越广泛。考虑带桩帽的PTC（预应力混凝薄壁管桩）刚性桩桩侧摩阻力分布规律,将桩侧摩阻力假定为2个三角形拼合的分布形式。联合应用Mindlin-Geddes解答及Boussinesq解答,推导出了疏桩补偿地基中的附加应力的计算公式。结合具体算例,计算复合地基的沉降变形量。研究表明,该联合方法的沉降计算结果比传统方法偏小,与实测数据较为吻合。当桩间距大于8倍桩径时,随着桩间距的增加,疏桩补偿地基的附加应力场基本不变,但沉降量相应增大。对于桩间距较大的疏桩补偿地基,采用长、短桩组合形式较为合理。通过设置深层水泥土搅拌桩来加固软土路堤,能有效控制沉降量。     

Analysis of pile‐raft foundations under complex loads in layered soils

Considering there is hardly any concerted effort to analyze the pile‐raft foundations under complex loads (combined with vertical loads, horizontal loads and moments), an analysis method is proposed in this paper to estimate the responses of pile‐raft foundations which are subjected to vertical loads, horizontal loads and moments in layered soils based on solutions for stresses and displacements in layered elastic half space. Pile to pile, pile to soil surface, soil surface to pile and soil surface to soil surface interactions are key ingredients for calculating the responses of pile‐raft foundations accurately. Those interactions are fully taken into account to estimate the responses of pile‐raft foundations subject to vertical loads, horizontal loads and moments in layered soils. The constraints of the raft on vertical movements, horizontal movements and rotations of the piles as well as the constraints of the raft on vertical movements and horizontal movements of the soils are considered to reflect the coupled effect on the raft. The method is verified through comparisons with the published methods and FEM. Then, the method is adopted to investigate the influence of soil stratigraphy on pile responses. The study shows that it is necessary to consider the soil non‐homogeneity when estimating the responses of pile‐raft foundations in layered soils, especially when estimating the horizontal responses of pile‐raft foundations. The horizontal loads and the moments have a significant impact on vertical responses of piles in pile‐raft foundations, while vertical loads have little influence on horizontal responses of piles in pile‐raft foundations in the cases of small deformations. The proposed method can provide a simple and useful tool for engineering design. Copyright © 2013 John Wiley & Sons, Ltd.