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1.
吴志明  黄茂松 《岩土力学》2004,25(Z2):418-422
在考虑地基土分层的基础上,采用动力Winkler地基模型模拟桩土相互作用并运用传递矩阵,求解层状地基中的单桩和群桩的阻抗函数.在计算动力相互作用因子时考虑了被动桩与土的相互作用.最后将相互作用因子和群桩阻抗的本文解与精确解进行对比,验证了本文方法的有效性.  相似文献   

2.
群桩沉降计算理论分析   总被引:4,自引:0,他引:4  
基于Geddes应力解,并根据叠加原理计算群桩内任意点处的三向应力,采用基于Duncen-Chang本构模型的修正分层总和法计算群桩内任意点处的沉降量,最后,根据基点法[1]和群桩基础荷载、变形协调关系建立方程,从而,最终获得群桩的沉降计算。该理论较常规弹性理论方法计算群桩沉降有较大地改进,具体体现在以下几个方面:(1)考虑了群桩中地基土的三向应力分布对群桩沉降计算的影响;(2)考虑了土体本构模型(Duncen-Chang弹性非线性本构模型),因而,能计及土体非线性特性对群桩沉降的影响;(3)采用修正分层总和法理论,能考虑土体成层分布特性以及侧向变形对单桩沉降计算的影响。  相似文献   

3.
《岩土力学》2017,(10):2817-2825
考虑桩周饱和土和桩芯饱和土的三维波动效应研究了饱和土中管桩群桩的水平振动,得到了管桩群桩的水平动力阻抗。将桩周土和桩芯土视为两相饱和土,并利用多孔介质理论来描述其力学特性。运用数学物理手段求得了桩周饱和土和桩芯饱和土的水平动力阻抗。运用波的传播理论和叠加原理,同时考虑边界条件和三角函数的正交性,求得了管桩群桩中任一根管桩的水平作用力。考虑刚性承台处管桩桩顶位移协调条件和桩顶水平作用力平衡条件,得到了饱和土中管桩群桩的水平动力阻抗。以2×2管桩群桩为例分析和讨论了有关物理参量对饱和土中管桩群桩水平振动特性的影响。研究结果表明:实芯群桩与管桩群桩的水平动力阻抗都存在一定的差异,频率较小时需要考虑桩芯饱和土与桩周饱和土性质的差异对管桩水平动力阻抗的影响,管桩长径比和管桩壁厚对饱和土中管桩群桩水平振动的影响较大,在实际工程设计中需要重点考虑桩身尺寸。  相似文献   

4.
熊辉  江雅丰  禹荣霞 《岩土力学》2018,39(5):1901-1907
基于Laplace变换,对层状地基中桩土横向振动阻抗计算问题进行了研究。考虑土层天然分层的特性及桩顶轴向力的参与作用,结合频域内桩-土动力文克尔理论,采用传递矩阵法并通过拉普拉斯变换,将振动微分方程变成代数方程以求解桩的横向振动响应参数,并导出了单桩横向振动阻抗。基于所得解,进一步计算出桩-土-桩水平动力相互作用因子。通过实例分析对比,验证其有效性和可行性。该方法计算工作量小,易于理解,计算结果与已有结果具有良好的一致性,并能保证解的连续性,对桩-土动力相互作用的研究具有一定的实用意义。  相似文献   

5.
林智勇  戴自航 《岩土力学》2014,35(Z1):221-226
群桩中各基桩在地基土中的加筋与遮帘效应是客观存在的,然而,在目前的桩基沉降理论与实践中,相关的研究仍显不足。基于剪切变形法理论,考虑桩的加筋与遮帘效应,求得各基桩在自身桩顶荷载作用下产生的沉降以及其引起相邻桩的附加沉降量,由此提出群桩中任两桩的相互作用系数简化公式,同时,也得到各基桩桩侧及桩端桩-土接触等效弹簧刚度,并基于荷载传递法原理,建立了成层地基条件下各基桩在自身桩顶荷载作用下的桩身位移平衡方程,推导出各土层层顶处桩身沉降、轴力与层底处桩身沉降、轴力之间的递推关系,进而将公式推广到高、低承台群桩基础计算中。工程算例分析表明,用该方法计算有较高的精度,求得的荷载-沉降曲线及两桩相互作用系数与实测值吻合较好;相互作用系数要明显小于弹性理论计算结果。  相似文献   

6.
在分析深层搅拌桩复合地基变形机理基础上,根据单元体计算模型确定出深层搅拌桩复合地基沉降计算模式,并考虑桩侧摩阻力分布形式及有效桩长的影响,利用弹性理论建立出深层搅拌桩复合地基加固区压缩量计算方法,同时采用Mindlin与Boussinesq解建立出深层搅拌桩复合地基下卧层沉降量计算方法,在探讨桩土分担荷载与深度系数确定方法基础上建立出深层搅拌桩复合地基沉降计算方法。工程实例计算表明,分层总和法计算结果偏大,本文理论计算值介于现有有限元法计算值与实测值之间,较已有理论方法计算值小,但比有限元法简单,比已有理论方法更具合理性。  相似文献   

7.
层状地基群桩沉降计算的剪切位移解析算法   总被引:1,自引:0,他引:1  
考虑群桩的“束缚作用”,基于剪切位移法的理论,提出了竖向荷载作用下用于层状地基大规模群桩沉降分析的简捷实用的解析算法。以单桩位移积分方程为基础,导出了桩顶位移与轴力和桩底位移与轴力之间的关系,考虑桩-桩相互作用,得出了计算群桩沉降的柔度矩阵方程。推导过程中,桩被分成任意n段,因此该方法可以用于地基土任意分层的群桩沉降计算。算例分析表明,该方法与边混合法和界元法有较好的一致性。  相似文献   

8.
考虑加筋与遮帘效应的层状地基群桩沉降计算   总被引:1,自引:0,他引:1  
桩群在土中的加筋与遮帘效应是客观存在的,但目前的理论与实践均未能或有效地考虑该效应.基于剪切变形法原理,在计算某一根桩沉降时,考虑了其他各相邻基桩的存在对该桩沉降的折减,即加筋与遮帘效应,得到了桩侧桩-土接触等效剪切弹簧刚度,建立了桩身位移微分方程,分别求得桩顶沉降-桩端沉降、桩顶荷载-桩端压力的递推关系,从而得到了各桩在自身荷载作用下引起自身沉降的柔度系数; 同理,也求得了各邻桩在其桩顶荷载下引起它桩沉降的柔度系数,最终建立了群桩沉降计算的柔度矩阵方程.推导过程中,考虑了地基土的成层性及桩端沉降的相互影响,并提出了基于一定深度内的Mindlin位移解且考虑桩径影响的桩端压力-桩端位移关系新模式.算例结果表明,本文方法与实测值较为接近,且按本文方法求得的群桩中基桩相互作用系数明显小于弹性理论计算结果,且与实测值吻合较好.  相似文献   

9.
砂土地基中桩顶竖向-水平加载路径下单桩水平承载理论研究较少,且鲜有考虑预先施加的竖向荷载对土抗力p与桩身水平位移y曲线的影响。鉴于此,考虑桩顶预先施加的竖向力对桩周土体产生挤密作用,从而对双曲线型p-y曲线的极限土抗力进行修正。采用余弦函数表征被动侧径向土压力分布,构建了被动侧最大径向土压力与总土抗力的关系式,推导了被动侧的侧阻抗力矩解析表达式。考虑被动侧摩阻力与竖直方向存在夹角β对由摩阻力引起的桩身轴力变化量进行修正,给出了修正计算公式。建立了同时考虑修正的p-y曲线、桩身自重和被动侧摩阻力引起的轴力变化量、二阶效应(即P-Δ效应)以及侧阻抗力矩的桩身挠曲微分方程,通过MATLAB编程求得其数值解。将计算结果与已有模拟和试验结果进行比较,验证了该方法的正确性。在此基础上,探讨了预先施加的竖向力大小对单桩水平承载性能的影响。计算结果表明:推导的桩身轴力变化量计算公式能更准确地表征被动侧摩阻力对桩身轴力的影响,且可用于大变形条件;预先施加的竖向力可以增大柔性单桩的水平承载力,随着预先施加的竖向力的增大,增强效果逐渐减弱。  相似文献   

10.
纵横向受荷基桩变形内力的矩阵传递解   总被引:1,自引:0,他引:1  
竺明星  龚维明  何小元  徐国平 《岩土力学》2014,35(11):3281-3288
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。  相似文献   

11.
沈纪苹  陈蕾 《岩土力学》2016,37(10):2810-2816
在考虑土体分层特性的基础上,分别建立了管桩桩周土体和桩芯土体的水平振动控制方程。通过引入势函数并考虑桩周土和桩芯土径向位移和环向位移的边界条件及其奇偶性,求得了管桩-土动力相互作用的刚度系数和阻尼系数。将土体模拟为连续分布的弹簧-阻尼器,并考虑桩芯土和桩周土的作用,建立了层状土中管桩的水平振动方程。借助初参数法和传递矩阵法求解了管桩的水平振动,得到了管桩桩顶的水平动力阻抗。通过数值分析,得到了土层剪切模量、管桩壁厚、桩周土和桩芯土剪切模量比、土层厚度等对管桩桩顶动力阻抗的影响规律。土层剪切模量、管桩壁厚、桩周土和桩芯土剪切模量比对层状土中管桩水平振动的影响主要在低频处,土层厚度在较宽的频率范围内对管桩水平振动有影响;管桩壁越厚,桩周土的剪切模量越大时,管桩水平动力阻抗的绝对值越大。  相似文献   

12.
The influence of the gravity and inertia of a concentrated mass attached to the top of a single pile on the pile’s dynamic response was investigated in this study. Based on Muki’s fictitious pile method, the static initial axial force of the pile caused by the gravity of the concentrated mass was calculated first. Using the obtained initial axial force of the pile and taking into account the influence of the inertia of the concentrated mass, the second kind of Fredholm integral equations describing the dynamic response of the preloaded single pile were established via the fictitious pile method. Using the obtained integral equations, the dynamic response of the preloaded single pile to an incident Rayleigh wave was calculated. The influence of the pile–soil Young’s modulus ratio, the frequency of the incident Rayleigh wave and the pile length on the dynamic response of the preloaded pile was examined. The numerical results of this study show that the concentrated mass attached to the top of the pile will affect both the dynamic axial and shear forces of the pile. Generally, the concentrated mass attached to the pile top has a greater influence on the shear force of the pile than on the axial force.  相似文献   

13.
An analytical approach using the three‐dimensional displacement of a soil is investigated to provide analytical solutions of the horizontal response of a circular pile subjected to lateral loads in nonhomogeneous soil. The rocking stiffness coefficient of the pile shaft in homogeneous soil is derived from the analytical solution taking into account the three‐dimensional displacement represented in terms of scalar potentials in the elastic three‐dimensional analysis. The lateral stiffness coefficient of the pile shaft in nonhomogeneous soil is derived from the rocking stiffness coefficient taking into account the rocking rotation of a rigid pile shaft. The relationship between horizontal displacement, rotation, moment, and shear force of a pile subjected to horizontal loads in nonhomogeneous soil is obtainable in the form of the recurrence equation. The formulation of the lateral displacement and rotation of the pile base subjected to lateral loads in nonhomogeneous soils is presented by taking into account Mindlin's equation and the equivalent thickness for soil layers in the equivalent elastic method. There is little difference between lateral, rocking, and couple stiffness coefficients each obtained from both the two‐dimensional and three‐dimensional methods except for the case of Poisson's ratio near 0.5. The comparison of results calculated by the current method for a pile subjected to lateral loads in homogeneous and nonhomogeneous soils has shown good agreement with those obtained from analytical and numerical methods. Copyright © 2017 John Wiley & Sons, Ltd.  相似文献   

14.
非饱和土中端承桩水平振动特性研究   总被引:1,自引:0,他引:1  
章敏  王星华  冯国瑞 《岩土力学》2015,36(2):409-422
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。  相似文献   

15.
An analytical approach using the three‐dimensional displacement of a soil is investigated to provide analytical solutions of the horizontal response of a circular pile subjected to lateral soil movements in nonhomogeneous soil. The lateral stiffness coefficient of the pile shaft in nonhomogeneous soil is derived from the rocking stiffness coefficient that is obtained from the analytical solution, taking into account the three‐dimensional displacement represented in terms of scalar potentials in the elastic three‐dimensional analysis. The relationship between horizontal displacement, rotation, moment, and shear force of a pile subjected to lateral soil movements in nonhomogeneous soil is obtainable in the form of the recurrence equation. For the relationship between the lateral pressure and the horizontal displacement, it is assumed that the behavior is linear elastic up to lateral soil yield, and the lateral pressure is constant under the lateral soil yield. The interaction factors between piles subjected to both lateral load and moment are calculated, taking into account the lateral soil movement. The formulation of the lateral displacement and rotation of the pile base subjected to lateral loads in nonhomogeneous soils is presented by taking into account the Mindlin equation and the equivalent thickness for soil layers in the equivalent elastic method. For lateral movement, lateral pressure, bending moment, and interaction factors, there are small differences between results obtained from the 1‐D and the 3‐D displacement methods except a very flexible pile. Copyright © 2015 John Wiley & Sons, Ltd.  相似文献   

16.
以苏通长江大桥主墩特大型群桩基础为研究背景,考虑地震动的不确定性,将地震激励作为平稳随机过程,采用随机地震反应分析方法,对深厚场地上群桩基础受上部桥墩荷载下的地震反应进行研究。土体动力非线性性能采用等效线性化方法考虑。由于桥墩惯性作用以及软土土层对桩身位移的约束作用,地震激励下桩身位移呈三角形分布。土体位移与土体和基础间距离有关,桥墩-桩-土相互作用对基础两侧1.5倍基础宽度的土体位移有较大影响。桩体内力反应结果表明,桩顶及桩身上部剪力及弯矩均较大,边桩剪力显著大于中间桩剪力。此外,基于强度破坏准则,对以桩身屈服剪力作为控制指标的群桩基础动力可靠性进行了分析。  相似文献   

17.
It is common in the analysis of piles under lateral loads to use a model of a beam on elastic foundation, or a finite element model with the pile represented by a one dimensional beam–column with its axis coinciding with the central line of the finite element mesh. In both cases the lateral stiffness of the pile itself, as a structural element, is a function of the product of its Young’s modulus of elasticity by the moment of inertia of the cross section (EI). For solid piles the moment of inertia is directly related to the radius but this is not the case when dealing with hollow piles where the value of the radius corresponding to a given moment of inertia is not unique. Both of the above models ignore the effect of the value of the radius of the soil cavity occupied by the pile. In this work a more accurate model of the pile with the soil around it represented. A consistent boundary matrix valid for static and dynamic analyses is used to evaluate the accuracy of the results provided by the model of a beam on elastic foundation. In addition, a 1D model of the pile is analyzed with finite elements for the soil. This analysis considers a fixed value of the product EI, but a variable radius in order to illustrate the importance of the radial dimension. Results are obtained for a pile fixed at the bottom, but long enough so that the top boundary conditions do not affect the results and for a shorter floating pile were the shear and moment at the bottom resulting from the underlying soil would not be zero. For the beam on elastic foundation model, the top of the pile was assumed to be fixed.  相似文献   

18.
以有限元程序ANSYS为工具,建立三维有限元模型,分析了劲性搅拌桩在竖向荷载下的桩身应力、位移和不同芯桩长度和截面含芯率的极限承载力以及劲性搅拌桩和混凝土桩单桩极限承载力的差异。对不同地震作用下劲性搅拌桩的桩-土-上部结构的相互作用进行了时程分析,并与桩基础做了对比,进而对影响劲性搅拌桩复合地基抗震性能的主要因素进行了研究。结果表明,劲性搅拌桩所承担的荷载主要由侧摩阻力分担;劲性搅拌桩存在一个最佳内外芯桩长度比和最优截面含芯率。在相同地震作用下,劲性搅拌桩单桩的最大弯矩和剪力均小于桩基础;单桩的最大弯矩出现在距桩顶(0.2~0.4)L 处;截面含芯率对劲性搅拌桩弯矩和剪力的影响程度较芯桩长度大,水泥土模量对之影响甚微。  相似文献   

19.
饱和土中管桩的水平动阻抗研究   总被引:3,自引:0,他引:3  
刘林超  闫启方 《岩土力学》2014,35(5):1348-1356
为了考察桩、土主要参数对饱和土中管桩水平振动的影响,将土体分为桩周饱和土和桩芯饱和土两部分,利用多孔介质理论的饱和土控制方程建立了饱和土-管桩的耦合振动模型。在考虑桩周饱和土和桩芯饱和土边界条件的情况下,运用势函数解耦的方法对桩周饱和土和桩芯饱和土的水平振动进行了求解。在考虑桩周饱和土和桩芯饱和土对管桩作用的情况下对饱和土中管桩的水平振动进行了求解,得到了管桩桩顶的水平动力阻抗,并分析了主要桩、土参数对管桩水平动力阻抗的影响。研究表明:管桩内外半径、桩周土和桩芯土剪切模量比、泊松比之比对管桩水平动力阻抗的影响较大,低频时液-固耦合系数比对管桩水平动力阻抗有一定的影响,而阻尼比之比对管桩水平动力阻抗阻尼因子有一定的影响。  相似文献   

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