砂土中水平受荷桩非线性分析

对水平受荷桩的非线性分析,多采用p-y曲线法。现行p-y曲线模型很多,曲线形式和选用的参数各不相同。分析各桩土参数对现有p-y曲线的影响,并选择合理的标准化参数将各p-y曲线归一化,采用双曲线模型拟合归一化曲线。总结目前对地基反力模量和土体极限抗力的研究,并考虑桩径、施工等因素的影响,选择合理的双曲线模型参数。通过实例对比分析,证明了双曲线模型以及参数选取的有效性和适用性。双曲线模型形式简洁,符合理想土体的应力-应变关系,并能近似拟合现有的砂土p-y曲线,可广泛用于工程中砂土水平受荷桩基的非线性分析     

砂土中边坡附近单桩水平抗力的模型试验研究

针对平地p-y曲线对临近边坡桩基的不适用性,开展了砂土中边坡存在对单桩水平抗力影响的室内物理模型试验。依据边坡坡角及边坡到单桩距离的不同,共进行了11次3组试验。采用分段3次多项式对实测桩身应变分布进行拟合,以推算桩身变形和桩侧抗力,有效克服了数据拟合点的奇异。对比无边坡时的试验p-y曲线、美国API规范曲线和双曲线模型,确认了平地p-y曲线的计算表达式。其次获得了边坡条件下的单桩荷载-位移曲线,揭示了边坡坡角和边坡到桩的距离对水平受荷单桩桩身弯矩分布的影响规律。根据试验结果采用折减系数修正浅层桩侧极限抗力,并引入边坡对桩侧初始刚度的削弱表达式,得到边坡条件下水平受荷单桩浅层区域双曲线p-y曲线表达式。最后通过与离心试验结果对比,验证了给出的p-y曲线考虑边坡影响时的合理性。     

粉土p-y曲线的试验研究

进行了浸水黄河粉土中模型钢管桩的水平静力荷载试验,对试验弯矩用6阶多项式进行拟合,推得了黄河粉土的p-y曲线,并与API建议砂土和软黏土p-y曲线进行了比较。根据粉土试验p-y曲线,提出了黄河粉土p-y曲线的理论表达式,用此理论p-y曲线进行了水平荷载下模型桩的数值分析,并与试验测试弯矩进行了比较。研究结果表明：粉土的黏聚力对p-y曲线有很大的影响,忽略粉土黏聚力的抗力作用将导致桩基水平承载力的设计偏于保守;基于理论粉土p-y的模型桩的数值结果与试验弯矩值吻合得较好。     

砂土地基斜桩水平承载特性p-y曲线法

基于Reese建议的砂土p-y曲线,提出了适用于斜桩水平承载特性分析的修正p-y曲线及相应的有限元分析方法。根据桩前土体受力特点,假设桩前浅层土体达到极限破坏状态时桩侧被动破坏区为一个三维楔形体,采用极限平衡分析方法导出了斜桩桩侧极限土抗力表达式,对比研究了斜桩倾角、桩-土界面摩擦系数等因素对极限土抗力的影响规律,并给出了斜桩初始地基反力模量确定方法。在此基础上,修正Reese提出的直桩p-y曲线,提出了砂土地基中斜桩p-y曲线确定方法。利用虚功原理,导出了斜桩水平承载特性分析的有限单元列式,编制相应的分析程序,通过算例验证了方法的合理性和有效性。最后,采用修正的p-y曲线法对一离心机模型试验进行了模拟分析,结果表明,计算与试验结果吻合得很好     

基于应力增量的单桩p-y曲线分析方法

p-y曲线研究进展一直缓慢,究其原因是缺乏一套成熟的理论体系作支撑。通过考虑桩侧土的实际应力状态,引入Vesic圆孔扩张理论对水平受荷桩p-y曲线进行研究,建立了新的基于应力增量的p-y曲线分析方法。该方法综合考虑了桩侧土体径向应力增量、纵向应力增量效应及桩体深层转动挠曲对水平土抗力的贡献,是一种考虑多种因素的p-y曲线解,可适用于不同桩型条件下的单桩受力分析。算例结果表明:基于应力增量的p-y曲线分析方法在水平受荷桩应用中赋有很好的正确性和准确性,较Reese法、API法和Kim法对大变形问题有更高计算精度。以上研究成果对p-y曲线的发展及深入研究具有重要意义。     

轴向荷载对斜桩水平承载特性影响试验及理论研究

斜群桩受水平荷载作用时,群桩中的基桩受到径向荷载、轴向荷载和弯矩的共同作用。为研究轴向荷载对斜桩水平承载特性的影响,完成了3根单桩以及1组1×2斜桩的大尺寸模型试验。试验结果表明：轴向拉力作用会降低斜桩的水平刚度和极限承载力;而轴向压力作用则会使其水平刚度和极限承载力提高。基于桩侧浅层土体楔形破坏假定,推导了考虑轴向荷载影响的斜桩水平极限土抗力计算公式,提出了桩侧土抗力的p-y曲线方法,并通过模型试验及现场试验验证其合理性。     

强度弱化条件下饱和砂土地基中桩-土相互作用p-y曲线研究

在地震荷载作用下,可液化土层中的桩基础往往会由于地基土体液化而发生破坏。在此过程中即使土体最终没有达到完全液化,但由于超孔隙水压力的存在,饱和砂土会发生强度弱化,也会导致土体对桩身水平抗力的降低。此时若不考虑超孔隙水压力对土抗力的影响,仍然采用API规范中的p-y曲线对桩基础进行设计,结果将偏于危险。针对这种情况,首先利用竖向-扭转双向耦合剪切仪对饱和砂土进行了循环扭剪动强度试验,研究了不同弱化状态下饱和砂土的动力特性和弱化参数;然后基于浅层处改进的土楔体理论模型推导极限土抗力公式,并结合深层处的绕桩流动破坏理论模型,得到了任意深度处不同孔压比下的极限土抗力,进而构造了不同弱化状态下饱和砂土地基中桩-土相互作用的p-y曲线。通过研究发现:表征土体强度弱化状态的孔压比对桩-土相互作用的极限土抗力的影响非常显著,孔压比越大,土体强度弱化程度越严重,饱和砂土的极限土抗力值就越小,即横向受荷桩对周围土体的作用随着土体强度弱化程度的增加而降低,反之则增大。     

考虑桩靴贯入对邻近群桩效应影响的分析方法

为考虑钻井船插桩对邻近平台群桩相互作用的影响,以海洋平台群桩设计中使用的修正Poulos法为基础,提出了一种考虑桩靴贯入影响的群桩分析方法。该法基于非线性地基梁模型确定桩靴贯入土层时单桩桩头位移;依据桩同时承受桩头荷载与土体位移时对应的地基反力系数确定土层的弹性模量,进而在Poulos群桩相互作用分析理论框架内,分析桩靴贯入对群桩相互作用的影响,确定桩靴贯入过程中由于群桩相互作用导致的附加桩头位移及相应的群桩桩头位移;依据群桩桩头位移,确定考虑桩靴贯入影响的群桩p-y曲线Y因子及相应的p-y关系。为了说明分析方法的可行性,进行了桩靴贯入砂土时对邻近单桩和群桩相互作用影响的离心模型试验,方法预测与试验结果基本一致,从而验证了方法的合理性。对于文中的工况,桩靴贯入没有导致群桩p-y关系进一步弱化,此时采用桩靴贯入前的群桩p-y关系确定考虑桩靴贯入影响的群桩响应,得到的结果偏安全。     

水平荷载下桩身侧阻抗力矩的作用机制与计算模型研究

为探讨摩阻力增强效应影响下的水平受荷桩承载机制,建立了水平荷载作用下考虑增强效应影响的桩侧摩阻力τ-s曲线模型,并在此基础上推导了桩身单位长度侧阻抗力矩数值解。随后开展了桩径、临界位移、极限侧摩阻力等因素影响下Ms,ini/Msu,ini-θ/θref,ini无量纲化曲线规律分析。结合摩阻力增强效应理论进而分别建立了线弹性-塑性、双曲线、API规范砂土与黏土τ-s曲线模型作用下的桩身侧阻抗力矩简化理论解,并基于传递矩阵法原理,解得了考虑桩侧摩阻力作用时基桩水平承载力半解析解。通过多组验证工况和工程实例分析验证了所建立的侧阻抗力矩简化解以及考虑侧阻抗力矩影响的基桩水平承载力方法的正确性,同时也证明了摩阻力增强效应对基桩水平承载力的影响不能忽略,并得出如下结论:无试验数据参考时,砂土、黏土与桩接触面的刚度指数可分别取0.725和0.600;桩身侧阻抗力矩随着桩径、极限摩阻力的增加以及临界位移的减小而增加,其中桩径对侧阻抗力矩影响更为明显。     

砂土地基中受水流影响的竖向力-水平力联合受荷桩承载特性模型试验研究

海上风机大直径单桩基础除承受竖向荷载V与水平荷载H外,同时还受水流冲刷、扰动。基于Swipe加载法,在室内水槽模型中设计完成了砂土中的V-H联合受荷桩测试,获得了静、动水流状态及不同竖向力大小条件下的荷载-位移曲线及桩身弯矩分布;经无量纲化处理与拟合,得到了考虑水流影响的V-H联合受荷桩承载力包络线及其简化计算公式。结果表明:水流冲刷降低了总的桩侧摩阻力,导致竖向荷载-位移曲线初始刚度降低;桩身水平位移和弯矩在仅受水流作用时较小,但同时受水流、水平荷载作用相比于单一水平受力时则明显增大;增加桩顶竖向荷载在水平位移较小时有助于提高桩身水平承载力,但随水平位移增大且竖向荷载接近竖向极限承载力V_u时,可能会因重力二阶(P-Δ)效应而削弱桩身水平承载力;桩身最大弯矩位置不会随水流状态与竖向荷载大小的改变而明显变化,基本保持在泥面以下2～3倍桩径处。     

General Analytical Solution for Laterally-Loaded Pile-Based Miche Model

Piles subjected to lateral loading can create problems in soil-structure interaction. Several differing methods of analysis have been proposed to solve the problem of laterally loaded piles, resulting in the determination of pile bending and the bending moment as a function of depth below soil surface. These piles are widely used to support laterally loaded piles, such as bridge pillars, offshore platforms, communication towers and others. This study presents an analytical solution to Miche’s problem as a continuous function of depth: deflection and moment, as well as a dimensional plots to be used in projects involving piles subjected to laterally loading only including data concerning laterally loading test and pile geometry. A new formula is presented to calculate the pile head displacement as well as an equation to determine maximum moment for a generalized Miche model and further analysis. In addition, this paper proposes an equation for the determination of constant horizontal subgrade reaction \((n_{h})\) based on the CPT in-situ test and the geometric characteristics of the pile. Calibration of the analytical model showed good fit and conservative results regarding inclinometer data from an bored pile and good agreement with the literature results.

     

软土地基中PHC管桩水平受荷性状的试验研究

桩在水平荷载作用下的受力性状是一个复杂的桩土相互作用过程。针对软土地集中预应力管桩受水平荷载的问题,结合工程实例,通过水平静载试验,实测得到了水平荷载作用下PHC（超长预应力）桩与土共同作用时的工作性状,分析了PHC桩受水平力作用时的内力、变形和临界承载力以及地基土的水平抗力比例系数。试验结果可为今后同类地区水平受荷桩的设计与研究提供参考。     

Nonlinear analysis of laterally loaded rigid piles in cohesionless soil

In this paper, a method is developed for nonlinear analysis of laterally loaded rigid piles in cohesionless soil. The method assumes that both the ultimate soil resistance and the modulus of horizontal subgrade reaction increase linearly with depth. By considering the force and moment equilibrium, the system equations are derived for a rigid pile under a lateral eccentric load. An iteration scheme containing three main steps is then proposed to solve the system equations to obtain the response of the pile. To determine the ultimate soil resistance and the modulus of horizontal subgrade reaction required in the analysis, related expressions are selected by reviewing and assessing the existing methods. The degradation of the modulus of horizontal subgrade reaction with pile displacement at ground surface is also considered. The developed method is validated by comparing its results with those of centrifugal tests and three-dimensional finite element analysis. Applications of the developed method to laboratory model and field test piles also show good agreement between the predictions and the experimental results.     

Nonlinear analysis of laterally loaded rigid piles in cohesive soil

This article presents a method for the nonlinear analysis of laterally loaded rigid piles in cohesive soil. The method considers the force and the moment equilibrium to derive the system equations for a rigid pile under a lateral eccentric load. The system equations are then solved using an iteration scheme to obtain the response of the pile. The method considers the nonlinear variation of the ultimate lateral soil resistance with depth and uses a new closed‐form expression proposed in this article to determine the lateral bearing factor. The method also considers the horizontal shear resistance at the pile base, and a bilinear relationship between the shear resistance and the displacement is used. For simplicity, the modulus of horizontal subgrade reaction is assumed to be constant with depth, which is applicable to piles in overconsolidated clay. The nonlinearity of the modulus of horizontal subgrade reaction with pile displacement at ground surface is also considered. The validity of the developed method is demonstrated by comparing its results with those of 3D finite element analysis. The applications of the developed method to analyze five field test piles also show good agreement between the predictions and the experimental results. The developed method offers an alternative approach for simple and effective analysis of laterally loaded rigid piles in cohesive soil. Copyright © 2011 John Wiley & Sons, Ltd.     

New method for non-linear analysis of laterally loaded flexible piles

The authors' previous application of non-linear analysis of the behavior of rigid piles is extended to the elastic and plastic behavior of flexible piles under lateral load. Using Broyden's approach of solving non-linear simultaneous equations and the conventional p-y concept, a new numerical method of non-linear analysis is developed. Comparisons of the results computed by present method with the results of previous similar methods are presented to show the efficiency and usefulness of the present method. For flexible piles a study of the relationship between effective depth De and relative pile stiffness Kr for both elastic and plastic ranges is carried out. Thus the analytical basis for the method using previous results of the bearing capacity and displacements of laterally loaded rigid piles to predict those of flexible piles is provided.     

Load transfer approach for laterally loaded piles

A two‐parameter model has been proposed previously for predicting the response of laterally loaded single piles in homogenous soil. A disadvantage of the model is that at high Poisson's ratio, unreliable results may be obtained. In this paper, a new load transfer approach is developed to simulate the response of laterally loaded single piles embedded in a homogeneous medium, by introducing a rational stress field. The approach can overcome the inherent disadvantage of the two‐parameter model, although developed in a similar way. Generalized solutions for a single pile and the surrounding soil under various pile‐head and base conditions were established and presented in compact forms. With the solutions, a load transfer factor, correlating the displacements of the pile and the soil, was estimated and expressed as a simple equation. Expressions were developed for the modulus of subgrade reaction for a Winkler model as a unique function of the load transfer factor. Simple expressions were developed for estimating critical pile length, maximum bending moment, and the depth at which the maximum moment occurs. All the newly established solutions and/or expressions, using the load transfer factor, offer satisfactory predictions in comparison with the available, more rigorous numerical approaches. The current solutions are applicable to various boundary conditions, and any pile–soil relative stiffness. Copyright © 2001 John Wiley & Sons, Ltd.     

Nonlinear analysis of laterally loaded single piles in sand using modified strain wedge model

This paper proposes a modified strain wedge model for the nonlinear analysis of laterally loaded single piles in sandy soils by using the Duncan–Chang model as well as the Mohr–Coulomb model to describe the stress–strain behavior of soils in the strain wedge. The input soil property for sandy soils only needs a relative density which can be easily estimated from in situ tests. The strain wedge depth is calculated by an iterative process and the subgrade reaction modulus below the strain wedge is assumed to increase linearly with depth, though it does not change with the lateral load applied to the pile. Seven case histories are used to verify the applicability of the proposed method. The results show the following: (1) good agreements are found between the predicted and the measured results of full scale tested piles; (2) the predicted deflections and moments using the Duncan–Chang model are almost the same as those using the Mohr–Coulomb model; and (3) the size effect of the pile diameter or width on the subgrade reaction modulus should be considered.     

纵横向受荷基桩变形内力的矩阵传递解

针对地基的土体屈服性状,将桩侧土体分为弹性变形区域与塑性变形区域两种情况。假定地基反力系数为3参数的一般形式,同时考虑桩身 效应并计入桩身自重、桩侧摩阻力的影响,根据地基反力法分别建立桩身弹性段和塑性段挠曲线微分方程。在解微分方程的过程中,采用矩阵传递法结合Laplace正逆变换的方法解得桩顶作用轴向力、水平力、弯矩时桩身内力和变形的矩阵传递解,并用Fortran语言编制了相应计算程序。最后将试验数据对上述方法进行验证,结果表明计算值与模型试验的实测值吻合很好,采用文中3参数地基反力法反算所得的地基参数离散性很小,研究结果具有较高的应用价值。     

分布荷载推力桩计算的p-y曲线法研究

为提高现有水平梯形分布荷载推力桩设计计算水平,提出了地基系数按非线性土抗力.水平位移(p-y)曲线抗力模式表达的水平梯形分布荷载推力桩位移和内力计算的有限差分数值分析方法,并详细推导了桩身位移的差分格式.基于这些公式,编制了全桩位移、内力及侧土抗力的计算和图形处理程序,可适用于滑坡抗滑桩和深基坑悬臂支护桩的设计计算.结合新型桩型现浇混凝土薄壁管桩(PCC桩)作为滑坡抗滑桩进行对比分析,算例表明:该方法方便可靠.当有限差分段划分得足够小时,可使数值解接近于真实解.