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1.
将地基视为多层各向同性弹性体,对Euler-Bernoulli梁进行有限单元离散分析,对地基-梁接触面采用边界积分法求解,根据地基-梁接触面的竖向位移协调和光滑接触条件,应用有限元与边界元耦合的方法推导出各向同性成层弹性地基上的Euler-Bernoulli梁的半数值半解析解。基于文中理论,编制了相应的程序,通过与现有文献对比,验证了文中理论的正确性,对比分析了分层地基与等效均匀地基两种模型上的弹性地基梁。研究结果表明,分层地基与等效均匀地基两种模型上弹性地基梁性状差异较大,实际弹性地基梁计算中应采用分层地基模型。 相似文献
2.
加固膨胀土路堑边坡中框架梁的内力计算 总被引：1，自引：0，他引：1
锚杆框架梁是一种较好的加固膨胀土路堑边坡方式,但其设计理论依据仍不统一,未形成成熟的规范,多依靠工程经验。Winkler地基梁和半无限弹性体理论被用来计算框架梁的内力,在Winkler假设的前提下,着重分析了现浇梁和预制梁在不同长度条件下的内力分布。结果表明：框架梁的设计完全依据膨胀力是欠合理的,建议采用Winkler地基梁和半无限弹性体理论计算框架梁的内力,并结合工程实例,提出了相关的建议。 相似文献
3.
Anchor frame beam is an excellent method for strengthening the expansive soil cut slope. It can effectively prevent cracks
and fissures of expansive soil slope from expanding. There are plentiful engineering experiences that are important for the
design of anchor frame beam. However its design theory is still not uniform and there is not any code to be followed. The
assumption of Winkler foundation beam and semi-infinite elastic theory are used for calculating the internal forces of the
frame beams. At the meantime FLAC3D software is used for simulating anchor frame beam strengthening expansive soil cut slope. Main parameters, such as length,
range interval and angle of the anchor, are researched so as to acquire how to influence slope deformation. The internal force
distributing of different length beams is analyzed. The results indicate that it is absurd to design frame beams just by expansive
force. It is suggested that the internal forces of pre-cast and cast-in-place beams be calculated with Winkler foundation
beam and semi-infinite elastic theory. The numerical results show that ratio of slope has an impact on the slope deformation,
and that the angle and the range interval of the two neighboring anchors influence the slope deformation. The pertinent proposal
for designing frame beam is offered based on an actual project so as to optimize the design. 相似文献
4.
This paper deals with the dynamic response of infinite double Euler–Bernoulli beam supported by elastic foundation with stochastic stiffness subjected to an oscillating moving load, which is the first research in relevant literature review. In this matter, equations of motion for double beam are formulated in a moving frame of reference. Moreover, by employing the first order perturbation theory and calculating contour integration, the response of double beam is obtained analytically and validated by a stochastic finite element model. Sensitivity analyses on the various parameters of closed form solution such as velocity, load frequency, coefficient of variation of soil foundation and rail and slab bending stiffness show the significant effect of load frequency on the dynamic response of the doubled beam. From practical point of view, the obtained results of the present study can be utilized efficiently in analysis and design of slab track systems. Copyright © 2013 John Wiley & Sons, Ltd. 相似文献
5.
对弹性地基上不同刚度的基础板,利用弹性地基上梁的计算方法进行了不同集中荷载工况下的变形计算。根据计算结果,分析了基础刚度对于弹性地基上基础的最大沉降的影响以及刚度对于基础整体变形的影响。 相似文献
6.
深基坑支护结构分析的共同变形法 总被引：3，自引：0，他引：3
在分析基坑工程通用弹性地基梁法优缺点的基础上,建立了考虑结构变形与土体相互作用的共同变形法计算模型及分析程序。通过分析及计算比较认为,运用共同变形法计算时,可采用与通用弹性地基梁法相同的地基反力系数,文中讨论了土体水平地基反力系数的取值方法对计算结果的影响。研究表明,共同变形法在实践中是可行的并较通用弹性地基梁法更合理。 相似文献
7.
Geocell reinforcement has been increasingly applied to road embankment engineering. Deformation calculation is one of the major concerns during the design process. In this paper, the power-series method was employed to investigate the performance of a geocell-reinforced mattress under symmetric loads. The geocell-reinforced mattress was idealized as a beam on a Winkler foundation. In the analysis, the soil–foundation beam interface resistance, related to the horizontal deformation coupling with the vertical deformation, was considered. Semi-analytic solutions were developed to assess the deformations and internal forces of the foundation beam and verified against an existing finite element method [9]. The results of the proposed method were close to the results from the finite element method. Moreover, the effects of various factors, such as height of embankment, horizontal and vertical foundation coefficients, composite elastic modulus and height of geocell-reinforced mattress, on the foundation beam settlement and the tension force within the beam are discussed. It was found that the interface resistance related to the horizontal deformation of the beam has a reduction effect on the embankment settlement, and it is beneficial to reduce the embankment settlement by increasing the beam rigidity and strengthening the subgrade soil body. 相似文献
8.
提出一种层状地基中柔性筏板-群桩共同作用分析方法,探讨筏板刚度对桩筏基础沉降的影响,并成功预测了往复荷载下桩筏基础的长期沉降。筏板刚度采用Mindlin板理论的有限单元法分析;桩-土体系的刚度矩阵中,桩顶面-桩顶面、桩顶面-土表面以及土表面-土表面的相互作用分析采用层状剪切位移法借助层状地基的Burmister位移解求得。基于层状地基中柔性筏板-群桩的沉降计算方法以及往复荷载下土体压缩模量的衰减特性得到了桩筏基础的长期沉降预测方法。与已有文献方法和离心模型试验结果的对比分析表明,柔性筏板-群桩共同作用方法得到的沉降值具有较高的精度。 相似文献
9.
10.
等效附加应力法的基本思路是把加筋土中筋的作用等效成外力加在土骨架上,取加筋土中的土体进行计算。这种方法能够适用于纤维加筋、分层加筋和土钉墙等不同情况,且能够克服一般复合材料方法中复合材料本构模型难以建立,和把筋土分开考虑的方法中接触面单元过多的弊病。但以前的等效附加应力法需要迭代计算,这给有限元编程带来困难,而且不利于已有程序的改编。对等效附加应力法进行改进,只要在原有土的弹性矩阵或弹塑性矩阵中加上一个附加矩阵就可以直接求解。这就使得不需要迭代就可以直接应用等效附加应力法进行加筋土计算,大大简化了编程难度,改进方法的提出有助于等效附加应力法的推广应用。 相似文献
11.
This paper mainly investigates the influences of compressible parameters on the vertical vibration of a pile embedded in layered poroelastic soil media. The pile is treated as a 1D elastic bar by the finite element method, and fundamental solutions for the layered poroelastic soils due to a vertical dynamic load are obtained by the analytical layer element method. Based on the compatibility conditions, the pile-soil dynamic interaction problem is solved. The numerical scheme has been compiled into a Fortran program for numerical calculation. Influences of the pile-soil stiffness ratio, compressible parameters, vibration frequency and the soil stratification are discussed. 相似文献
12.
用弹性板理论分析顺层岩质边坡的失稳 总被引：10，自引：2，他引：10
根据弹性板的稳定理论，利用能量法对缓倾角顺层岩质边坡的弯曲失稳机理进行了探讨，特别考虑了边坡长度的影响，推导了相应的计算公式，并通过计算实例，将文中的方法与用平面应变问题的弹性梁分析得出的结果做了对比，验证了文中方法的可行性。 相似文献
13.
Priti Maheshwari 《国际地质力学数值与分析法杂志》2008,32(12):1479-1494
In this paper, a beam subjected to end concentrated loads has been modeled and analyzed to estimate its flexural response. The beam has been assumed to rest on reinforced earth beds with reinforcing elements having some finite bending stiffness. The reinforcing elements have been idealized as beams with smooth surface characteristics. The foundation system has been assumed to react only in compression (tensionless foundation), i.e. the separation between the upper beam and the ground surface has been taken into consideration. Winkler springs of different stiffnesses have been used to idealize the upper dense and lower poor soils. As the analysis considers the separation between the upper beam and the soil, the weight of the upper beam has been taken into account. The governing differential equations have been derived and presented in a non‐dimensional form. These equations have been solved using finite difference method with the help of appropriate boundary and continuity conditions. The response of the foundation system has been compared with the case when the beam is in perfect contact with the ground surface. The parametric study shows that the response of the model is greatly affected by the length ratio of beams, ratio of stiffness of upper and lower soil layers, ratio of flexural rigidity of upper and lower beams and weight of the upper foundation beam. Copyright © 2008 John Wiley & Sons, Ltd. 相似文献
14.
弹性地基梁法常用于研究土和结构的相互作用,对于均布荷载和边界条件简单的弹地基梁,采用理论解即可方便地进行计算。侧向荷载作用下桩体、嵌入式挡墙一般根据弹性地基梁理论进行分析,并假定基床系数随深度增加。对于基床系数呈线性分布或呈均匀分布但边界条件复杂的弹性地基梁理论求解困难,通常采用有限差分法或有限单元法近似求解。采用有限单元法计算线性分布基床系数弹性地基梁时,若单元划分数量不够,就存在计算精度不足的问题。采用加权余量法推导了更为精确的2节点5次位移函数和相应的单刚矩阵,得出了线性分布荷载作用下挠度的5次多项式近似解,从而实现只需划分很少的单元数,节点位移及单元内位移的分布即可达到较高的计算精度,极大地提高了计算效率,单元内力的分布可直接由位移函数导出,简化了后处理计算程序。 相似文献
15.
Priti Maheshwari P. K. Basudhar S. Chandra 《Geotechnical and Geological Engineering》2006,24(2):313-324
The paper describes a mechanical model for estimating the flexural response of a strip footing, supporting a column (imposing
a concentrated load), resting on a compacted granular bed overlying a reinforcement layer for example, geogrids, geomats etc.
below which lies a loose soil deposit. The footing is idealized as a beam and the reinforcing element is assumed to have finite
bending stiffness and negligible frictional resistance. The upper and lower soil layers are idealized by a series of linear
and discrete springs (Winkler springs) of different stiffness values. To find the response of such a model the governing differential
equations have been derived and expressed in a nondimensional form. A closed form analytical solution of the same has been
obtained subjected to appropriate boundary conditions. Using the present approach the resulting solution for a degenerated
case of a long beam is found to be identical to the same of Hetenyi (1946, Beams on elastic foundations, University of Michigan
press, Ann Arbor, MI). Parametric studies reveal that the ratio of flexural rigidity of upper and lower beam and the ratio
of stiffness of the upper and lower soil layers affect significantly the response of the foundation. 相似文献
16.
地基土承受超载作用时就会产生沉降,在土体沉降作用下埋置于其中的管道,管壁就会产生变形甚至破裂。为分析地面超载对临近地下管线的影响,基于温克勒（Winkler）弹性地基短梁理论,应用Boussinesq解,考虑地面超载引起下卧层的沉降及地基土体的侧向移动对管道的影响,建立地面超载对埋地管道影响的分析计算模型,并采用有限差分法进行求解;通过算例分析了超载大小、位置,管道刚度、埋深、管径以及土体性质对埋地管道位移的影响;结果表明：超载大小、管道的刚度、埋深、管径对地下管道位移的影响较大,而当地基基床系数和超载离管道的距离增大到一定值时,地面超载对其影响将减弱。因此,需要考虑邻近超载对管道的影响,合理制定埋地管道的保护措施。 相似文献
17.
隧道开挖会降低邻近桩基承载力,如何更为合理评价桩基水平附加响应是需要解决的问题。基于Pasternak双参数地基模型和三折线弹塑性荷载传递模型,采用两阶段分析法,并考虑侧向土体作用及地基土层的非均质特性,提出了更符合实际的单桩水平反应简化分析方法。通过与Winkler地基梁法及边界元法的对比分析,验证了方法的合理性。结合对单桩水平反应的多种影响因素进行参数分析,通过各因素相应的修正系数来对基准工况中单桩最大水平反应进行修正,得到计算工况中单桩的最大水平位移和最大弯矩。分析结果表明,桩基水平位移计算时可忽略侧向土体作用,而弯矩计算时应予以考虑;桩基计算工况的最大水平位移 最大弯矩 与平均地层损失比 呈现线性关系,而与隧道半径R、隧道轴线深度H、桩距隧道中心线距离x及桩身柔度系数 均呈现非线性关系。 相似文献
18.
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
19.
The paper presents a model for the analysis of granular foundation beds reinforced with several geosynthetic layers. Such
reinforced granular beds are often placed on soft soil strata for an efficient and economical transfer of superstructure load.
The granular bed is modeled by the Pasternak shear layer and the geosynthetic reinforcement layers by stretched rough elastic
membranes. The soft soil is represented by a series of nonlinear springs. The reinforcement has been considered to be extensible
and it is assumed that the deformation at the interface of the reinforcements and soil are same. The nonlinear behavior of
the granular bed and the soft soil is considered. Plane strain conditions are considered for the loading and reinforced foundation
soil system. An iterative finite difference scheme is applied for obtaining the solution and results are presented in nondimensional
form. The results from the proposed model are compared to the results obtained for multilayer inextensible geosynthetic reinforcement
system. Significant reduction in the settlement has been observed when the number of reinforcement layer is increased. In
case of inextensible reinforcements as the number of reinforcement layer is increased the settlement is decreased with a decreasing
rate, but in case of extensible reinforcement the reduction rate is almost constant. Nonlinear behavior of the soft soil decreases
as number of reinforcement layer is increased. The effect of the stiffness of the geosynthetic layer on the settlement response
becomes insignificant for multilayer reinforced system, but the mobilized tension in the reinforcement layers increases as
the stiffness of the geosynthetic layers increases. 相似文献
20.
考虑桩土效应的双排桩模型及参数研究 总被引：1，自引：0，他引：1
双排桩作为一种新型的深基坑支护结构,目前尚无简单而有效的设计方法。首先,借助Winkler地基梁基本思想,在忽略桩土竖向摩擦效应及空间效应的前提下,对双排桩支护结构力学机制进行分析,建立了考虑桩土效应的双排桩平面杆系有限元模型。接着围绕双排桩平面杆系有限元模型的关键参数土压力分布及弹性抗力系数展开了研究,针对连梁拉力将使传统的坑后土体滑移面临界距离增加特征,利用滑动比例系数法获得了土压力分配规律;针对弹性抗力系数正分析取值不确定性,提出了采用位移反分析优化方法获得弹性抗力参数的取值。最后,根据杆系有限元及反分析中位移最优准则函数的求解步骤,分别编制了doublerowpile及doublerowpileparameter计算程序,并进行了相应的工程计算,工程计算结果表明,计算位移与监测位移趋势一致,计算内力符合规范要求,且能较准确获得弹性抗力系数取值。 相似文献