文克尔地基模型下液化土桩基水平振动响应分析

在桩基顶部承受竖向荷载作用的条件下,将完全液化后的上层土体视为流体,将桩基等效为欧拉-伯努利梁模型,探讨了桩底嵌固时桩基顶部的水平振动阻抗。运用流体动力方程模拟顶部液化土层的运动,运用文克尔地基模拟下部非液化分层土的运动。结合传递矩阵法,利用液化土与非液化分层土交界面处的位移、转角和内力连续条件,得到桩基顶部和底部的相关位移?内力表达关系式。根据桩基底部的嵌固条件,求得桩顶阻抗的表达式。与已有文献解进行对比,验证了分析过程的正确性。对阻抗影响条件进行参数分析,表明液化深度、轴力和流体密度大小对桩顶阻抗有不同的影响。     

变基床系数弹性地基梁解法及其应用

从实测的P-S曲线（基地压力与沉降的关系）出发,将P-S曲线拟合成分段线性函数,把分段线性函数的斜率作为基床系数,推导出变基床系数弹性地基梁的基本理论方程式,并将它变换成与常基床系数弹性地基梁相同的方程形式,从而,可以用初参数法解出它的一般解。此方法可以推广到变截面梁和非均质地基的情况。     

边坡框架梁文克尔简化计算方法及工程应用

为了改进边坡框架梁的计算方法,基于文克尔地基梁假定,考虑框架梁与土体的互相作用,通过关键点拟合的方法,把指数函数和三角函数简化为一元二次函数,推导出边坡框架梁的简化计算公式。该方法被应用于福建一处边坡支护工程,采用锚索框架梁支护,施工过程中对边坡进行位移监测。研究结果表明,传统的文克尔地基梁计算需要求解微分方程,计算过程比较复杂,不适合设计中使用,而简化后的计算方法容易掌握,可以方便计算出框架梁的端部弯矩和跨中弯矩。边坡位移监测结果表明该简化计算方法安全可行。研究结果对边坡框架梁的工程设计有一定的参考作用。      

用Winkler地基模型估算地基沉降

通过对照计算,讨论选用较合理的基床系数,用Winkler地基模型估算地基沉降     

影响深基坑非线性地基梁法m值的因素研究

深基坑支护设计非线性地基梁法应用的关键是如何合理地确定地基土的水平基床系数的比例系数m.结合实例深入地研究了地基土的初始水平基床系数的比例系数m0、围护墙水平位移u及主(被)动土压力与静止土压力的差值e-e0对m的影响规律和程度,进而提出设计时将u和e-e0从m中分离出来,而仅确定m0的设想和方法,并进行了试验验证表明.     

非线性弹性模型的改进

本文在邓肯-张模型进行深入探讨的基础上,提出了切线模量实质物理意义是剪切模量的观点,并分别采用应力法和应变法推导了剪切模量和体积模量(或变形模量)公式,还进行了考虑Biot固结非线性弹性油罐地基有限元实例分析。对不同的变形模量计算方法进行了比较,提出了改进的非线性弹性模型。     

非线性矿床模型与非常规矿产资源评价

探讨了建立非线性矿床模型对难识别的非常规矿产资源评价的可能性.首先评述了非线性理论在成矿动力学和矿产勘查中的应用, 以及非常规矿床与非常规矿产资源评价的研究现状.然后引进了以岩浆结晶分异成矿作用为例的多维分形非线性成矿系统模型.在此基础上揭示了非线性成矿系统必然导致元素富集和聚集的奇异分布及矿床分布的广义自相似性规律.广义自相似性刻画了成矿的外在多样性和内在相似性.介绍了2种最新研究的“奇异分析”和“广义自相似性”异常分解方法.采用文中所建议的非线性矿床模型方法对加拿大北部Gowganda地区的热液型Co, Ni, Ag, As, Pb 5种元素矿产进行了预测和评价.结果表明, 以“广义自相似性”和“奇异分析”为基础的非线性矿床模型及GIS信息综合技术对非常规难识别矿产资源评价是有效的.      

高边坡变形非线性时变统计模型研究

基于高边坡长期变形监测资料,深入分析了边坡变形的影响因素,建立边坡非线形时变统计监控模型,并将模型应用于锦屏一级水电站边坡工程。通过典型测点长期监测资料的分析,确定时效和降雨是影响边坡变形的2个主要因素,并给出了各自的表述形式,在Matlab平台上,采用非线性回归方法得到边坡非线性时变统计模型的参数。在此基础上,根据边坡变形拟合残差时序,采用ARMA模型方法进行拟合和预测,对边坡非线性时变模型的拟合和预测进行修正。结果表明,模型能较好地描述高边坡的变形特征,并且具有很好的拟合和预测精度。     

反循环气体钻井非线性温度模型

在反循环气体钻井中,循环介质与地层之间不断进行着热交换,因此井内温度分布是影响气体反循环钻井流体动力学参数的重要因素。基于反循环钻井技术特点,考虑循环介质与地层间热量的交换,沿钻孔径向取传热平衡微分单元作为研究对象,建立中心通道内流体和环状间隙内流体热平衡方程。通过求解线性非齐次方程推出反循环气体钻井非线性温度模型,并给出了模型求解的边界条件。通过算例可知,按照自然地层温度计算的井底温度比采用该模型计算的井底温度高21.14 K,这是因为随井深增加,热量由温度较高的地层向温度较低的气体传递,但是热传递并不完全,考虑地层与井眼流体热交换的反循环气体钻井非线性温度模型符合井内温度分布。     

载荷试验确定基床系数修正方法的讨论

Winkler地基模型是目前工程界应用最广的一种地基模型，但对其关键参数——基床系数k的确定，许多文献的表述并不一致。该文在大量试验资料的基础上，通过对该问题的深入研究，阐明了通过载荷试验确定基床系数修正方法的有关概念。对于砂性土地基，载荷板试验得出的基准基床系数仅需要进行基础大小修正，而对于粘性土地基，则需要进行基础大小和基础形状两项修正。     

基于广义Winkler弹性地基梁理论的梯形渠道冻胀力学模型

寒区渠道衬砌冻胀破坏现象普遍,而渠道的防冻工程设计大多依赖工程实践经验和定性认识,具有一定的随意性和盲目性,对衬砌结构所受的冻胀力计算缺乏简明、合理的方法。考虑冻土与衬砌的相互作用和冻土地基的连续性,基于广义Winkler地基梁理论并结合有限差分法,推导了渠道衬砌板冻胀挠曲线微分方程,建立了梯形渠道冻胀力学模型,给出了衬砌渠道法向冻胀力及切向冻结力的计算方法。同时,考虑渠道衬砌冻胀破坏的极限承载力以及冻胀过程中坡脚上抬位移对实际冻胀力的削减和释放效应,避免了冻胀力及衬砌结构内力计算值过大。为验证模型的合理性,以甘肃省靖会总干渠梯形渠道为研究对象,对其进行冻胀破坏计算。结果表明：模型由于考虑了衬砌结构与冻土间的相互作用,渠道衬砌板法向冻胀力呈非线性分布,修正了工程力学模型线性分布假设;与工程力学模型相比,冻胀力数值在坡脚处增大、跨中减小、底板上增大,计算结果更符合工程实际。研究提出的冻胀力学模型科学合理,简便快捷,具有更好的通用性,可为寒区渠道的抗冻胀设计提供参考。     

Deformation analysis of geocell reinforcement using Winkler model

Geocell reinforcement has been increasingly applied to embankment engineerings. Deformation calculation is one of the major concerns during the design process. Using Winkler foundation model and with consideration of the interface resistance effect, a deformation control differential equation for the geocell reinforced mattress under the vertical symmetric loads is presented in this paper. The corresponding power-series semi analytic solutions for the displacements and the internal forces of geocell reinforcement are also presented. Furthermore, the influence factors such as loads, length and flexural rigidity of geocell reinforcement, coefficient of subgrade reaction and the interface resistance on the stress-deformation characteristic of geocell reinforcement are discussed. Finally, two examples are employed to verify the presented method. This study suggests that the effect of the interface resistance on the deformation of geocell reinforcement should be considered in engineering design.     

Settlement analysis of rectangular piles in nonhomogeneous soil using a Winkler model approach

An analytical approach using a Winkler model is investigated to provide analytical solutions of settlement of a rectangular pile subjected to vertical loads in nonhomogeneous soils. For a vertically loaded pile with a rectangular cross section, the settlement influence factor of a normal pile in nonhomogeneous soils is derived from Mindlin's solution for elastic continuum analysis. For short piles with rectangular and circular cross sections, the modified forms of settlement influence factors of normal piles are produced taking into account the load transfer parameter proposed by Randolph for short circular piles. The modulus of subgrade reaction along a rectangular pile in nonhomogeneous soils is expressed by using the settlement influence factor related to Mindlin's solution to combine the elastic continuum approach with the subgrade‐reaction approach. The relationship between settlement and vertical load for a rectangular pile in nonhomogeneous soils is available in the form of the recurrence equation. The formulation of settlement of soils surrounding a rectangular pile subjected to vertical loads in nonhomogeneous soils is proposed by taking into account Mindlin's solution and both the equivalent thickness and the equivalent elastic modulus for layers in the equivalent elastic method. The difference of settlement between square and circular piles is insignificant, and the settlement of a rectangular pile decreases as the aspect ratio of the rectangular pile cross section increases. The comparison of results calculated by the present method for a rectangular pile in nonhomogeneous soils has shown good agreement with those obtained from the analytical methods and the finite element method. Copyright © 2014 John Wiley & Sons, Ltd.     

Analysis of piled raft with nodular pile subjected to vertical load using a Winkler model approach

An investigation is made to present analytical solutions provided by a Winkler model approach for analysis of piled rafts with nodular pile subjected to vertical loads in nonhomogeneous soils. The vertical stiffness coefficient along a piled raft with the nodular pile in nonhomogeneous soils is derived from the displacement given by the Mindlin solution for elastic continuum analysis. The vertical stiffness coefficients for the bases of the raft and the nodular part in the nodular pile in a soil are expressed by the Muki solution for the 3‐D elastic analysis. The relationship between settlement and vertical load on the pile base is presented considering the Mindlin solution and the equivalent thickness in the equivalent elastic method. The interaction factor between the shaft of the nodular pile and the soil is expressed taking into account the Mindlin solution and the equivalent elastic modulus. The relationship between settlement and vertical load for a piled raft with the nodular pile in nonhomogeneous soils is obtained by using the recurrence equation of influence factors of the pile for each layer. The percentage of each load carried by both nodular pile and raft subjected to vertical load is represented through the vertical influence factors proposed here. Comparison of the results calculated by the present method for piled rafts with nodular piles in nonhomogeneous soils has shown good agreement with those obtained from the finite element method and a field test. Copyright © 2016 John Wiley & Sons, Ltd.     

A Winkler model approach for vertically and laterally loaded piles in nonhomogeneous soil

An investigation is made to present analytical solutions provided by a Winkler model approach for the analysis of single piles and pile groups subjected to vertical and lateral loads in nonhomogeneous soils. The load transfer parameter of a single pile in nonhomogeneous soils is derived from the displacement influence factor obtained from Mindlin's solution for an elastic continuum analysis, without using the conventional form of the load transfer parameter adopting the maximum radius of the influence of the pile proposed by Randolph and Wroth. The modulus of the subgrade reaction along the pile in nonhomogeneous soils is expressed by using the displacement influence factor related to Mindlin's equation for an elastic continuum analysis to combine the elastic continuum approach with the subgrade reaction approach. The relationship between settlement and vertical load for a single pile in nonhomogeneous soils is obtained by using the recurrence equation for each layer. Using the modulus of the subgrade reaction represented by the displacement influence factor related to Mindlin's solution for the lateral load, the relationship between horizontal displacement, rotation, moment, and shear force for a single pile subjected to lateral loads in nonhomogeneous soils is available in the form of the recurrence equation. The comparison of the results calculated by the present method for single piles and pile groups in nonhomogeneous soils has shown good agreement with those obtained from the more rigorous finite element and boundary element methods. It is found that the present procedure gives a good prediction on the behavior of piles in nonhomogeneous soils. Copyright © 2011 John Wiley & Sons, Ltd.     

隧道开挖条件下地埋管线的非线性响应分析

隧道开挖引起的地层不均匀沉降造成附近的地埋管线产生额外的变形,甚至破坏。被动管线与土体的相互作用的研究表明,不考虑土体的刚度衰减,较大的土体弹性模量使得管线的最大弯矩计算结果过大,偏于保守,造成不必要的浪费。在被动管线Winkler地基模型分析基础上,引入土体刚度衰减模型考虑土体非线性特性,提出了隧道开挖作用下管线响应的等效线性分析方法。基于自由土体位移场计算管周土体由于隧道开挖引起的附加应变,基于水平受荷桩的环状弹性介质模型考虑由于管土相互作用引起的管周土体应变,从而对被动Winkler地基模型的土体弹性参数进行修正,计算得到管线的最大弯矩。通过与现有的弹性理论方法、离心模型试验结果的对比,验证了针对隧道开挖引起的被动管土相互作用问题,该方法考虑土体非线性特性的合理性。     

饱和砂性土非线性蠕变模型试验研究

采用单向压缩试验研究了常州不同含水层饱和砂性土的蠕变特性。试验结果表明,饱和砂性土的变形既与应力有关,也与时间有关。在一定应力作用下,其变形随时间的增加而增加,经过一段时间后才能达到稳定,应变与应力、时间都呈非线性关系。对试验结果的统计分析表明：用幂函数可以很好地拟合饱和砂性土的应力-应变-时间关系。这一结论有助于更深入地研究长期抽水作用下的地面沉降问题。     

Winkler地基上材料非线性矩形薄板主参数共振-主共振研究

研究Winkler地基上材料非线性矩形薄板的参数共振-主共振问题。建立Winkler地基上材料非线性矩形薄板的动力学方程。利用Galerkin方法将其转化为非线性振动方程。应用非线性振动的多尺度法求得系统满足主参数共振-主共振条件的近似解,并进行数值计算。分析激励、调谐值、阻尼系数、非线性参数、几何参数对共振响应曲线的影响。