水平偏心受荷群桩p乘子计算

水平偏心受荷群桩同时发生水平移动和绕承台中心的转动,使基桩的运动方向各不相同,因此基桩的运动方向成为影响群桩效应的一个关键因素。研究发现：水平偏心受荷的两根桩,前桩运动方向与两桩连线夹角0o≤η≤90o,后桩夹角?90o≤θ≤90o;量化两桩间桩?土?桩相互作用的折减系数与η和θ密切相关,η和θ组合存在一个范围,在该范围内两桩不存在相互作用;当两桩存在相互作用时,相互作用对后桩的影响往往大于对前桩的影响。通过将定量描述水平受荷群桩群桩效应的p乘子概念拓展到水平偏心受荷群桩,综合运用理论分析、试验和数值计算成果,提出了折减系数计算公式,进而给出了广义p乘子经验计算公式。通过试验案例验证了该计算公式的合理性。     

Bearing capacity of pile groups under vertical eccentric load

The paper deals with the problem of the bearing capacity of pile groups under vertical eccentric load. Widespread practice is to consider the achievement of the axial capacity on the outermost pile as the ultimate limit state of the pile group. However, this approach neglects the ductility of the foundation system and may be thereby overconservative. With the aim of proposing an alternative and more rational approach, a novel formulation for interaction diagrams based on theorems of limit analysis is presented and discussed. The methodology is applicable to the general case of groups of unevenly distributed, dissimilar piles. Piles’ connections to the pile cap are modeled as either hinges or rigid-plastic internal fixities. An application example to a slender structure is also provided, showing that the proposed approach can lead to significant advantages over the traditional design.

     

A new dynamic interaction factor for the analysis of pile groups subjected to vertical dynamic loads

Τhis paper presents an analytical method for calculating the steady-state impedance factors of pile groups of arbitrary configuration subjected to harmonic vertical loads. The derived solution allows considering the effect of the actual pile geometry on the contribution of pile-soil-pile interaction to the response of the group, via the introduction of a new dynamic interaction factor, defined on the basis of soil resistance instead of pile displacements. The solution is first validated against a published solution for single piles that accounts for the effect of pile geometry on the generated ground vibrations. Accordingly, we show that the derived soil attenuation factor agrees well with existing solutions for pile groups in the high frequency range, but considerable differences are observed in both the stiffness and damping components of the computed impedance when the relative spacing between piles decreases. Numerical results obtained for typical problem parameters suggest that ignoring pile geometry effects while estimating the contribution of pile-soil-pile interaction in the response may lead to inaccurate results, even for relative large pile group spacings.

     

Nonlinear elastic analysis of shallow footings subjected to eccentric inclined loads

In this study, the behaviour of shallow foundations subjected to eccentric inclined loads is presented using nonlinear elastic finite element analysis. The material non-linearity of the soil has been taken into consideration by employing the hyperbolic stress-strain model. The formulation of an isoparametric interface/joint element which is used between footing base and soil media has been presented. Tests have been conducted to determine the characteristics of soil-footing interface. Forty cases of strip footing resting on sand and subjected to eccentric-inclined load which were studied by Agrawal (1986) through model tests, have been analysed. The predicted pressure-settlement, pressure-horizontal displacement and pressure-tilt characteristics have been compared with experimental results of Agrawal (1986) and a reasonable agreement between the two has been observed.     

群桩扭转非线性模型

建立了一个非线性数学模型来分析群桩扭转问题。该模型利用非线性荷载传递曲线来模拟桩的非线性响应,采用Mindlin解计算各桩水平力间的相互作用,用Randolph解析解分析得到各桩间扭矩对水平力的影响。在各单桩中引入经验性的耦合系数,分析桩身水平变形引起的土体反力对该桩扭转承载力的影响。对比计算结果与离心机模型试验数据,表明该模型能够模拟群桩扭转中主要的桩-土-桩相互作用和荷载耦合作用,较好地反映了实际情况。     

Response of pile groups subjected to lateral loads

An approach is presented for the prediction of linear and nonlinear load–deformation behaviour of laterally loaded pile groups. The individual pile response is obtained by the conventional p–y curve technique, while group interaction is modelled using the Mindlin's solution. Good agreement is observed when comparing the present method of analysis with the commonly used interaction factor approach for the computation of response of pile groups embedded in a homogenous, isotropic elastic half-space. The predicted pile group behaviour also compares favourably with existing field data on laterally loaded pile groups in soft clay.     

Development of a coupled pile-to-pile interaction model for the dynamic analysis of pile groups subjected to vertical loads

Acta Geotechnica - This paper presents a new analytical model for calculating the dynamic performance of pile groups subjected to vertical loads. The derived solution allows considering the robust...     

The interaction factor method for energy pile groups

Prior to this study, no simplified yet rational methods were available for estimating the vertical displacements of energy pile groups subjected to thermal loads. Observing such a challenge, the goal of this study has been threefold: (i) to extend the interaction factor concept from the framework of conventional pile groups to that of energy pile groups, (ii) to present charts for the analysis of the displacement interaction between two identical energy piles over a broad range of design conditions, and (iii) to propose, apply and validate the interaction factor method for the displacement analysis of energy pile groups.     

堆载地基与邻近桩基的相互作用分析

本文在分析堆载条件下邻近桩基与土体的相互作用时,提出了改进弹性地基梁模型,采用最小势能原理推导了改进弹性地基梁的有限杆系法平衡方程,并编制了相应的分析程序EFBMPP,对影响桩基变位和弯矩的影响因素进行了计算分析.     

Approximate computer analysis of pile groups subjected to loads and ground movements

This paper describes the development of an approximate approach for the analysis and design of piles subjected to axial and lateral loading and also to vertical and horizontal ground movements. The analysis involves a number of simplifications in order to make it feasible to implement. For example, it considers the behaviour of a ‘representative’ pile in a group to characterize the behaviour of all piles in the group, and adopts approximations to derive free-field interaction factors from the conventional interaction factors for direct loading. The analysis has been implemented via a computer program called EMbankment PIle Group (EMPIG) and has the ability to incorporate the following features:

• 1. single piles or pile groups,
• 2. applied vertical, lateral and moment loading on the pile cap,
• 3. the effects of axial and lateral soil movements caused by embankment construction,
• 4. a layered soil profile,
• 5. non-linear axial and lateral response of the piles.

Comparisons between solutions from EMPIG and other independent programs suggest that it is capable of providing results of adequate accuracy for practical design purposes. The analysis has been used to investigate the effects of pile rake on a typical bridge abutment group. The presence of raked piles can have a detrimental effect on group behaviour, especially in the presence of ground movements. Large lateral deflections can be generated and axial forces and moments in the piles are increased. Comparisons are also made with the results of centrifuge model tests on abutment pile groups. Copyright © 1999 John Wiley & Sons, Ltd.     

Analysis of pile groups in a poroelastic medium subjected to horizontal vibration

This work investigates the dynamic response of pile groups embedded in a poroelastic medium subjected to horizontal loading. The dynamic response is analyzed using the Muki and Sternberg Method. The load transfer problem is formulated in terms of a second-kind Fredholm integral. The dynamic impedance of the pile groups is computed using the pile–soil–pile dynamic interaction factors. The shear force, bending moment and pore pressure is obtained using the superposition method. Numerical results indicate that the pile flexibility ratio and the pile distance have considerable influence on the dynamic response of the piles and the poroelastic medium.     

大规模群桩基础相互作用近似解耦方法

针对传统弹性理论法过高地估计了桩-桩相互作用效应,基于杆件有限单元法建立了半无限土体中群桩基础的桩侧剪应力求解方程,通过简化桩-桩的相互作用效应,将群桩基础桩侧摩阻力的求解方程近似解耦,实现了群桩基础桩身剪应力和位移的快速求解目标。通过两桩相互作用系数以及柔性承台下群桩基础差异沉降的对比分析,验证了该简化方法的合理性。参数分析结果表明,该简化方法计算得到的相互作用系数与严格的边界积分方程法解答较为接近,稍小于Poulos弹性理论法的计算结果;柔性承台下群桩的差异沉降在桩间距较小时与经典解答较为接近,而在桩间距较大时则存在一定的差别。该简化方法大幅减少了群桩计算工作量,适用于大规模群桩基础的快速计算要求。     

Development of a three-dimensional soil model for the dynamic analysis of end-bearing pile groups subjected to vertical loads

This paper presents a new analytical model for calculating the steady-state impedance of pile groups subjected to vertical dynamic loads. The derived solution allows considering effects of radially but also vertically propagating soil waves on the soil attenuation function, pile interaction factor, and pile group impedance. The proposed model provides accurate estimates of the soil stress field and of the response of the pile group in the low as well as in the high-frequency range, unlike earlier solutions based on the plane-strain model to describe the soil surrounding the piles, which ignores the vertical soil stress gradient. The latter assumption results in underestimating pile group impedance and overestimating radiation damping for frequencies lower than the cutoff frequencies of the system, which are explicitly captured with the proposed solution.     

受静载荷的岩石在周期载荷作用下破坏的试验研究

为了研究受静载荷的岩石在周期载荷作用下破坏及变形发展规律,在Instron电液伺服材料试验机上进行了红砂岩的单轴动静组合加载试验。采用自制的一维水平静压加载装置,配合Instron电液伺服材料试验机进行了红砂岩的二维动静组合加载试验。试验表明,受静载荷的红砂岩在周期载荷作用下的破坏形态因所受静载荷的状态不同而不同,在周期载荷作用下的应力-应变曲线表现为滞回圈先疏后密再疏,直至破坏;相同条件的受静载荷的红砂岩受不同周期载荷作用时,尽管其应力-应变曲线表现为不同的滞回圈数和不同的全应变,但仍与岩石在周期荷载作用下疲劳破坏的极限变形规律一致,并且破坏岩石所消耗的有效全应变能有向相同值发展的趋势。     

A closed-form solution for axisymmetric electro-osmotic consolidation considering smear effects

Acta Geotechnica - This study presents a fully explicit closed-form solution for axisymmetric electro-osmotic consolidation considering smear effects. Different soil properties within and outside...     

An analytical solution for wave propagation in a square pile due to transient point load

This paper presents an analytical solution for wave propagation in a square pile due to transient point load. The differential equation of dynamic equilibrium is established considering propagation of waves in both vertical and transverse directions. The soil resistance is simulated by Voigt model. The three-dimensional analytical solution is deduced by using Fourier transform and the separation of variable method. The arithmetical results of the proposed solution show that the velocity responses along the radial direction at the pile top are highly non-uniform. In addition, Young’s modulus and the pile side length exert undisputable influences on the velocity responses.     

Elastic solutions of displacements for a transversely isotropic full space with inclined planes of symmetry subjected to a point load

This work presents analytical solutions for displacements caused by three‐dimensional point loads in a transversely isotropic full space, in which transversely isotropic planes are inclined with respect to the horizontal loading surface. In the derivation, the triple Fourier transforms are employed toyield integral expressions of Green's displacement; then, the triple inverse Fourier transforms and residue calculus are performed to integrate the contours. The solutions herein indicate that the displacements are governed by (1) the rotation of the transversely isotropic planes (?), (2) the type and degree of material anisotropy (E/E′, ν/ν′, G/G′), (3) the geometric position (r, φ, ξ) and (4) the types of loading (P_x, P_y, P_z). The solutions are identical to those of Liao and Wang (Int. J. Numer. Anal. Methods Geomechanics 1998; 22 (6):425–447) if the full space is homogeneous and linearly elastic and the transversely isotropic planes are parallel to the horizontal surface. Additionally, a series of parametric study is conducted to demonstrate the presented solutions, and to elucidate the effect of the aforementioned factors on the displacements. The results demonstrate that the displacements in the infinite isotropic/transversely isotropic rocks, subjected to three‐dimensional point loads could be easily determined using the proposed solutions. Also, these solutions could realistically imitate the actual stratum of loading situations in numerous areas of engineering. Copyright © 2007 John Wiley & Sons, Ltd.     

A simplified approach for settlement analysis of single pile and pile groups considering interaction between identical piles in multilayered soils

A new and simple approach is presented to analyze the elastic–plastic behavior of a single pile in layered soils using two models. One model adopts a hyperbolic approach to describe the nonlinear relationship between the shaft shear stresses and the displacement surrounding the pile shaft, and the other model uses a bilinear hardening model to simulate the relationship between the settlement and the mobilized load at the pile end. Furthermore, the interaction between identical piles including the pile shaft and the base interaction in multilayered soils is analyzed. Comparisons of the load–settlement responses for two well-instrumented field tests in multilayered soils are given to demonstrate the effectiveness and accuracy of the proposed simple method. This present paper enables a quick estimate of the settlement of a single pile and a pile group embedded in layered soils, resulting in savings in time and cost.     

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。     

竖向荷载下群桩-土-承台相互作用数值分析

在大桩径、小桩距的群桩条件下,不仅有来自桩侧、桩端和承台传递的多重应力叠加,还有群桩对桩间土的夹持作用影响,桩-土-承台之间作用更加复杂。用有限差分软件模拟固定桩距、桩径,变化竖向荷载下桩-土-承台的相互作用。从各层土的侧摩阻力、不同位置桩的桩顶荷载、荷载-沉降关系、桩间土体位移等方面的计算结果分析桩-土-承台之间的相互影响。结果表明,荷载超出117.8 MN（略大于Pu/2,Pu为群桩极限承载力）后,群桩对上部桩间土的夹持作用开始减小,桩侧上部侧摩阻力增大;桩侧下部侧摩阻力在多重应力叠加作用下呈减小趋势,不同位置的桩侧摩阻力影响范围有差异;用群桩沉降达到5%倍桩径时的荷载作为群桩的竖向极限承载力是可取的;当沉降与桩径的比值超出1%后,承台分担荷载的比例逐渐增大,群桩分担荷载的比例减小。