层状土中群桩非线性沉降的摄动分析

采用包含一个内变量的连续化St Venant模型,即连续的Masing-Iwan模型,模拟桩-土界面扰动区土体的非线性行为。基于两种分析单桩的荷载传递模型,假设桩-土-桩相互作用为弹性且服从叠加原理,推导出了适用于群桩中基桩的两种荷载传递新模型。采用荷载传递法建立了单桩和群桩的非线性控制方程,提出了近似求解该控制方程的摄动分析法,得出了单桩和群桩的荷载沉降和轴力分布方程。所得结果表明,在低荷载水平下严格趋近于弹性解;而在高荷载水平下,能够反映直到破坏阶段的桩的荷载-沉降特性。通过一个现场试验的理论预测结果与实测数据的对比分析,验证了方法的有效性和适用性。     

桩基承台梁结构分析的新方法

以分层地基模型并采用有限元-有限压缩层的计算方法为基础建立起桩土支承体系刚度矩阵,从而导出桩-土-承台梁的共同作用方程.通过笔者编制的计算程序分析了考虑桩土共同作用后的承台沉降及桩顶荷载,计算结果同弹性理论方法比较一致,并得出了一些有益的结论.     

边坡桩-土相互作用的土拱力学模型与桩间距问题

桩-土相互作用机制是边坡抗滑桩设计需要考虑的重要因素之一。基于抗滑桩在侧向荷载作用下的受力条件,通过土力学和弹性力学的基本理论,导出了桩-土作用下桩后土体任意点的应力解析解,建立了土拱的力学模型;获得了土拱应力的等值线分布,得出了双曲拱、扩肩拱、马鞍拱和圆弧拱4种土拱形态,分析了不同桩间距、桩宽、桩后距离及土体力学特性对土拱效应的影响及其变化规律,阐明了土拱的作用机制。以拱体内土体破坏时的极限平衡状态为依据,基于Mohr-Coulomb抗剪强度理论建立了最大桩间距控制方程,并给出了具体的工程实例,对桩-土相互作用机制和抗滑桩设计理论研究具有一定的参考价值。     

路基荷载下PCC刚性桩复合地基沉降简化计算

将路堤荷载作用下的刚性桩复合地基变形,简化为只有竖向变形,水平变形可以忽略,然后,应用土体的平衡、几何、物理方程,建立沉降计算的控制方程。桩土界面的接触条件按位移协调或产生滑移变形两种情况分别建立,采用有限差分法离散求解,可得桩、桩周土各自的沉降变形、桩土界面的摩擦力分布。与有限元分析和现场实测结果的对比表明,该简化方法具有较高的准确性,可以方便地应用到工程实际。     

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。     

桩端条件对灌注桩荷载传递特性的影响

以荷载传递法为基础,研究了桩端条件对灌注桩荷载传递特性的影响。采用考虑桩侧软化的三阶段荷载传递函数,并以三折线模型模拟桩端土劣化或沉渣的影响,通过静力平衡条件建立微分控制方程。以桩端沉降和端阻力为边界条件,并将桩侧双曲线段的非线性两阶常微分方程转化为积分方程,并用数值方法求解,可以得到桩身任意截面的沉降、轴力和侧摩阻力。通过参数分析,研究了不同桩端刚度和不同沉渣厚度下灌注桩的荷载-沉降曲线和桩侧摩阻力的分布情况,讨论桩端条件对单桩荷载传递特性的影响。对两组相邻试桩的工程实例进行分析计算,结果表明,该方法能较好地反映实际情况。     

能源桩与周围土体之间荷载传递模型的改进及其桩身承载特性研究

桩-土相互作用问题是岩土工程桩基础问题的关键点与难点,目前针对桩身在循环温度荷载与上覆结构荷载双重作用下的能源桩承载特性研究较少。在传统理想弹塑性模型及双曲线模型的基础上,采用分段非线性的方法对桩-土荷载传递骨干曲线进行了修正,并基于Masing’s循环准则,提出了适用于能源桩的桩-土荷载传递模型。利用改进的桩-土荷载传递模型对能源桩承载特性进行数值分析,着重研究了桩-土荷载传递参数比R对能源桩受力情况的影响。此外,为了探究在上覆结构荷载及循环温度荷载双重作用下,能源桩与周围土体之间的真实荷载传递关系及其结构热力学特性,开展了针对能源桩与周围土体之间相互作用问题的室内模型试验,监测了其桩身轴向应力及侧摩阻力随温度及深度变化的趋势,并与基于改进荷载传递模型的数值计算结果进行了对比。室内模型试验监测及数值计算结果显示：能源桩在上覆结构荷载及温度循环荷载双重作用下,其受力行为受改进的桩-土荷载传递循环曲线控制;基于改进的桩-土荷载传递循环曲线而建立的数值模型计算结果与试验结果基本吻合,改进的桩-土荷载传递模型能够较好发地反映能源桩实际的承载特性。     

桩-土相互作用下单桩沉降影响因素的数值分析

从相互作用的角度出发,探求桩土相互作用体系中单桩沉降的影响因素,试图为桩基础的承载力设计和沉降量控制找到一种理论依据,并利用有限元软件ADINA建立桩-土相互作用的数值模型并进行分析。     

刚性桩复合地基沉降计算的简化方法

既简便又具有较好精度的刚性桩复合地基沉降计算方法仍是工程实践中迫切需要而又有待于解决的问题,文中提出了一个解决的简化方法。在刚性桩复合地基中,由于桩间土荷载水平不高,将桩间土荷载-沉降曲线近似为线性。当桩的荷载水平不高时,对桩的沉降可按线性考虑,线性关系可按线弹性方程计算得到。若桩可能进入非线性甚至塑性,则假设桩的荷载-沉降曲线满足双曲线规律,可较好地考虑桩的非线性沉降过程。通过计算单桩承载力特征值下的沉降,然后通过双曲线方程特点得到桩的非线性沉降方程。对于有单桩静载试验的情况,提出直接利用单桩试验曲线建立单桩的双曲线方程。最后依据共同作用时桩和桩间土的变形协调条件和静力平衡方程,即可计算其实际基础下复合地基的沉降,从而得到一个刚性桩复合地基沉降计算的简化方法。工程实例表明,简化是方法既简便又具有较好的精度,可为工程实践提供一个有效实用的计算方法。     

超长灌注桩桩-土界面剪切模型及其有限元模拟

由于超长灌注桩为摩擦型桩,建立合适的桩-土界面剪切模型将成为合理且有效地模拟分析其承载变形特性的关键。基于超长灌注桩桩侧摩阻力? 随桩-土相对位移w发挥性状,将? - w关系定义为硬化和软化两种类型,进而将桩侧摩阻力发挥模式分为全硬化模式、全软化模式和混合模式。建立超长灌注桩桩-土界面剪切硬化模型和软化模型,运用ABAQUS二次开发子程序FRIC将建立的剪切模型嵌入有限元,实现剪切模型的有限元模拟,单桩算例表明,剪切模型在ABAQUS中实现是成功的。运用建立的桩-土界面剪切模型对现场试验试桩进行有限元模拟,模拟结果与实测结果较为吻合,表明所建立的桩-土界面剪切模型及其有限元模拟对于超长灌注桩承载变形计算具有合理性和可行性。     

Analysis of rectangular piles subjected to lateral loads in nonhomogeneous soil using a Winkler model approach

An analytical approach using a Winkler model based on two lateral soil displacement components in a three‐dimensional soil is investigated to provide analytical solutions of horizontal response of a rectangular pile subjected to lateral loads in nonhomogeneous soil. The two lateral displacement components of a soil surrounding the rectangular pile are represented by the Fourier series of displacement potential functions in the elastic three‐dimensional analysis. The lateral stiffness coefficient of the rectangular pile shaft in nonhomogeneous soil is derived from the rocking stiffness coefficient taking into account rocking rotation of a rigid pile shaft. The relationship between horizontal displacement, rotation, moment, and shear force for the rectangular pile subjected to horizontal loads in nonhomogeneous soil is obtainable in the form of the recurrence equation. The formulation of lateral displacement and rotation for a rectangular pile subjected to lateral loads on the pile base in nonhomogeneous soil is proposed by taking into account Mindlin's equation and the equivalent thickness for soil layers in the equivalent elastic method. The difference of lateral behavior between square and circular piles subjected to lateral loads is insignificant. The effect of aspect ratio of the rectangular pile on the lateral behavior is great for the lower stiffness ratio between pile and soil and the larger length–equivalent diameter ratio. The effect of the value of Poisson's ratio of soil on lateral stiffness coefficient is relatively small except Poisson's ratio close to 0.5. The comparison of the results calculated by the current method for a rectangular pile subjected to lateral loads in nonhomogeneous soil has shown good agreement with those obtained from the analytical methods and the finite element method. Copyright © 2015 John Wiley & Sons, Ltd.     

考虑桩周土竖向作用大直径楔形桩纵向振动特性

将桩土系统划分为数量足够多的微元段,相邻微元桩段接触面处的环形凸面与土的相互作用采用单个Voigt体模拟,求得Voigt体的弹簧和黏壶系数。结合相邻微元桩段接触面上的应力平衡条件和位移连续条件,得到修正的阻抗函数递推法,桩身采用Rayleigh杆考虑桩身的横向惯性效应。结合桩底的边界条件,运用拉普拉斯变换和修正的阻抗函数递推法求得了平面应变条件下成层土中考虑桩周土竖向作用时大直径楔形桩桩顶复阻抗的解析解。通过与已有解对比,研究了桩周土竖向作用对桩顶复刚度和桩顶在瞬态激振下的速度响应的影响,并在低频域内详细分析了桩周土的竖向作用与桩土系统参数对桩顶复刚度的影响的耦合作用。     

非饱和土中端承桩水平振动特性研究

针对非饱和土中桩的水平稳态振动问题,采用三相多孔介质波动方程,考虑固、液、气三相材料间的惯性和黏性耦合效应以及基质吸力的影响,通过Helmholtz矢量分解及分离变量法解耦波动方程,并将基桩等效为能描述其剪切变形和转动惯性效应的铁摩辛柯（Timoshenko）梁模型,采用Novak三维连续介质模型对非饱和土中端承桩的稳态水平振动进行了理论推导,获得了桩顶水平频域响应解析解,讨论了饱和度对土层和桩顶阻抗的影响以及桩身位移、内力沿深度的分布规律。结果表明,随着土体饱和度的升高,土层复阻抗和桩顶动力阻抗增大,桩身位移和内力则相应地减小;饱和度,包括渗透系数在内的影响仅在土体接近准饱和时才得以发挥;频率较低时,短桩拥有较大的刚度因子。桩长越长,阻抗因子越大,而共振频率越低。当长径比超过10时,桩顶阻抗不再随长径比的增加而改变。     

Dynamic characteristics of a large‐diameter pile in saturated soil and its application

This study theoretically investigates the dynamic response of an end‐bearing pile embedded in saturated soil considering the transverse inertial effect of the pile. The saturated soil surrounding the pile is described by Biot poroelastic theory, and the pile is represented by a Rayleigh‐Love rod because both the vertical and radial displacements at the soil‐pile interface are considered. The potential function decomposition method and variable separation method are introduced to solve the governing equations of the soil, in which the vertical and radial displacement components are coupled. The governing equation of the pile is solved using the continuity conditions at the pile‐soil interface. Next, the velocity admittance in the frequency domain and the velocity response in the time domain at the pile top are presented based on the Laplace transform and inverse Fourier transform, respectively. Subsequently, the reduced solution is compared with a 1‐dimensional model solution to verify the validity, and the influences of the slenderness ratio of the pile on the transverse inertial effect of the pile are analyzed. Moreover, Poisson ratio, the slenderness ratio of the pile, and the pile‐soil modulus ratio are studied. Finally, the theoretical and measured curves in the engineering project are compared, and the results demonstrate the good application prospects of the solution presented in this article.     

夯实水泥土桩复合地基有效桩长与桩身强度关系试验研究

通过室内模型试验,实测得到水泥土材料的破坏形式、夯实水泥土桩复合地基桩土荷载分担比、桩土应力比、桩间土深层变形等承载及变形性状。给出了文中试验条件下,给定桩身强度的夯实水泥土桩复合地基的有效桩长或有效复合土层厚度,认为设计夯实水泥土桩复合地基时,应考虑桩身强度对承载力的影响桩体,设计应以桩身强度控制,使由桩身强度确定的单桩承载力大于（或等于）由桩周土和桩端土的抗力所提供的单桩承载力。     

Transverse seismic kinematics of single piles by a modified Vlasov model

Within the framework of soil–pile interaction, a novel displacement scheme for the transverse kinematic response of single piles to vertically propagating S waves is proposed on the basis of the modified Vlasov foundation model. The displacement model contains a displacement function along the pile axis and an attenuation function along the radial direction. The governing equations and boundary conditions of the two undetermined functions are obtained in a coupled form by using Hamilton's principle. An iterative algorithm is adopted to decouple and solve the two unknown functions. In light of the governing equation of the pile kinematics, a mechanical model is proposed to evaluate the present method on a physical basis considering material damping. The coefficient of the equivalent Winkler spring is derived explicitly as function of the displacement decay parameter γ and soil Poisson's ratio. A parametric study is performed to investigate the effects of the soil–pile system properties on the kinematic response of single piles. The results show that the dimensionless pile length controls the transverse kinematics of piles. In terms of the theory of beams on elastic foundation, the classification limits of the dimensionless pile length may be π ∕ 4 and π, respectively. Copyright © 2014 John Wiley & Sons, Ltd.     

竖向入射S波作用下单桩水平地震响应简化解析方法

基于连续介质模型并考虑桩-土运动相互作用,将单桩视为一维线弹性梁,研究了竖向入射S波作用下的单桩水平地震响应问题。将竖向入射S波模拟为基岩水平位移,基于平面应变模型建立的土体控制方程,推导出地震作用下土体水平动力阻抗函数表达式。将土体阻抗代入单桩控制方程并联立桩-土接触条件及桩顶和桩底的边界条件,得出了竖向入射S波作用下单桩的地震响应解析解。通过将所得解与已有文献理论解和有限元结果进行对比,验证了该方法的合理性。基于所得理论解进行参数分析得出：桩-土模量比的增加可以明显降低桩-土运动相互作用因子的最小值,而较大桩身长径比以及土体滞回阻尼对桩-土运动相互作用因子的影响较小;对于桩顶水平地震放大因子来说,桩-土模量比的增加仅在高共振频率处抑制其幅值,较大桩身长径比对其影响较小,而滞回阻尼比的增加会显著抑制共振频率处的幅值;桩身地震响应仅在较小桩径比时受桩-土模量比的影响明显,并随桩-土模量比的增加而降低。     

A new analytical model to study the influence of weld on the vertical dynamic response of prestressed pipe pile

This investigation is concerned with the mathematical analysis of a viscoelastic prestressed pipe pile embedded in multilayered soil under vertical dynamic excitation. The pile surrounding soil is governed by the plane strain model, and the soil plug is assumed to be an additional mass connected to the pipe pile shaft by applying the distributed Voigt model. Meanwhile, the prestressed pipe pile is assumed to be a vertical, viscoelastic, and hollow cylinder governed by the one‐dimensional wave equation. Then, analytical solutions of the dynamic response of the pipe pile in the frequency domain are derived by means of the Laplace transform and impedance function transfer method. Subsequently, the corresponding quasi‐analytical solution in the time domain for the case of the prestressed pipe pile undergoing a vertical semi‐sinusoidal exciting force applied at the pile top is obtained by employing the inverse Fourier transform. Utilizing these solutions, selected results for the velocity admittance curve and the reflected wave curve are presented for different heights of the soil plug to examine the influence of weld properties on the vertical dynamic response of prestressed pipe pile. The reasonableness of the theoretical model is verified by comparing the calculated results based on the presented solutions with measured results. Copyright © 2017 John Wiley & Sons, Ltd.     

基于改进荷载传递法计算降水引起的基桩沉降

现有研究采用荷载传递法时均未计算桩体自重,若直接应用于国内软土地区超长桩基的沉降计算,其精度难以满足高速铁路线下工程严格的沉降控制要求。基于佐藤?悟双折线模型提出侧阻荷载传递函数的假定模式,引入桩体自重并对荷载传递法的基本微分方程进行修正和求解,结合降水引起的桩周土体沉降计算和基于端阻弹性模型的桩端土体沉降计算,获得地下水位变化诱发的基桩沉降计算方法;采用理论推导的基桩沉降解析解,并借助嵌入荷载传递函数的有限元方法,分别对单纯桩顶荷载作用和桩顶荷载与降水共同作用两种工况下的桩侧摩阻力、桩体轴力和基桩沉降进行算例对比分析;有限元计算因考虑了由桩体沉降产生的桩周土体附加竖向位移而与理论计算略有偏差,但两种方法计算结果的变化规律基本一致,验证了降水引起的基桩沉降理论计算公式的合理性及正确性。