共查询到19条相似文献，搜索用时 93 毫秒
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针对高边坡稳定性这一工程难题。本文采用拉格朗日法对高边坡在孔隙水压力下的稳定性进行了理论建模和数值模拟,计算结果表明:在孔隙水压力下,高边坡位移呈现环状,中心位置位移大,破坏严重,最容易出现失稳,需要重点防护;高边坡的上表面和深坑位置垂直应力比较大,容易失稳,要加强防护;同时利用计算得出的安全因数对边坡的稳定性进行了评价。 相似文献
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采用Bishop有效应力原理,将Fredlund土水特征曲线模型应用在固结方程中,提出了非饱和土一维固结理论。假定土体固结分为两个阶段。第一阶段为不排水、不排气阶段,土体的变形只是因为气体的被压密而引起的。第二阶段为排水、排气阶段,土体的变形是因为孔隙水和孔隙气的排出而引起的,在此过程的基础上,建立了非饱和土一维固结方程,并进行了数值求解。 相似文献
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《内蒙古科技与经济》2017,(13)
为了建立盾构施工同步注浆压力引起的土体变形模型,采用半无限弹性体内圆孔受内压扩张模型等效求解土体在注浆压力作用下的变形问题,借助镜像法和应力函数法推导了注浆压力引起的周围土体应力和变形解析公式。同时分析得出隧道上覆土体竖向位移随埋深增大而增大,隧道两侧土体水平位移随埋深先增大后减小的土体规律。 相似文献
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正根据分数阶微积分理论和微分算子方法推导了分数阶Burgers粘弹性流变模型的本构方程。利用弹性—粘弹性对应原理、Laplace变换和三参数Mittag-Leffler函数性质,推导了分数阶Burgers模型圆形隧道围岩位移解析解。将解析解用于模拟锦屏二级水电站引水隧洞西端绿泥石片岩隧道围岩的位移变化。结果表明:分数阶Burgers模型能够有效、稳定地模拟绿泥石片岩围岩位移的粘弹性变化过程。 相似文献
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侧向土压力的分析与计算是基坑开挖设计的重要内容之一,而土压力又受挡土墙变位方式,土体应力历史,地下水渗流等多种因素影响。经典土力学考虑这些因素时存在缺陷,而一般的室内模拟试验也往往不能反应实际工程情况。则主要从基坑开挖中的土体应力状态和应力路径分析入手,考虑其对侧向土压力的影响关系,并结合模拟基坑开挖实际受力状态的三轴试验,对考虑应力路径的土压力试验研究提出一点建议。 相似文献
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引言静压法沉桩由于具有无嗓音、无振动、无污染等优点,并且高强预应力管桩工艺简明、质量可靠、造价便宜、检测方便,故在我省已得到广泛应用,下面就其施工中有关问题作简明介绍,仅供参考。1,预应力管桩的挤土影响管桩在压入过程中要将桩周土向旁挤压排开而占据原来地基土体空间,原来土体受到很大的塑性剪切变形而使土的结构受到很大的扰动和破坏。在软弱土层中,挤土影响主要是桩入土时挤开相应体积的土体,在桩周饱和软粘土中产生较高的超孔隙水压力。大量的土体位移常导致邻近建筑物基础上抬,结构变形,以及损坏地下管线和设施或边坡失稳等… 相似文献
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在软土地基修建高等级公路中,"桥头跳车问题"是一个技术难题。低强度桩是一种新型处理桥头深厚软基工法,采用变桩长的思想,使沉降逐渐过渡。某大桥桥头段深厚软基采用该工法处理,对桩顶及桩间土沉降、土工格栅上沉降、深层土体水平位移、孔隙水压力、土压力等进行了现场监测,并进行了静载荷试验,对测试结果进行了分析。结果表明,该工法能大幅度减小沉降,形成沉降过渡,减小对桥台基础的水平推力,具有显著的经济效益。 相似文献
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运用力的平衡方程,考虑墙与土体接触面上的粘聚力及土体粘聚力,假设土体为刚体,滑裂面为直线且与水平方向成某个角度的条件下,得到墙前有限被动土压力的计算公式,通过origin软件试算得到滑裂角,从而确定有限被动土压力。 相似文献
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The propagation of elastic waves in a heterogeneous bar of variable cross-sectional area is investigated via use of the method of characteristics andthe Laplace transform technique. The Young's modulus and density are assumed to be representable as either power law or exponential distributions in the axial coordinate. The transform method is used to establish an infinite number of multi-parameter solutions in closed form for either a stress, velocity or displacement type boundary condition. The numerical characteristic computations show excellent agreement when compared to the transform solutions, and are then used to obtain additional solutions not attainable by the transform method. Detailed results and conclusions for a bar of ogival cross-section are given for a wide range of inhomogeneity. 相似文献
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初始孔压均布的饱和土一维热固结解析解 总被引：1，自引：0，他引：1
基于热弹性力学和饱和土固结理论,通过热固结方程的建立和求解,研究了饱和土的一维热固结问题.利用有限Fourier变换及其逆变换,得到土层内部超静孔压、温度增量的解析解,并依此求出地基沉降、平均固结度的表达式.根据所得解编制了计算程序,分析了饱和土的一维热固结性状,并与Terzaghi解进行了比较.结果表明,超静孔压随时间延长最终消散为零,但在热同结过程中可能会产生负孔压;地基沉降受温度影响而减小;平均固结度按变形定义和按孔压定义是不同的:热扩散系数与同结系数的比值的大小对热同结性状有重要影响. 相似文献
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Ibrahim Kocabas 《Journal of The Franklin Institute》2011,348(7):1339-1362
The Laplace transformation technique has been widely applied to modeling of tracer transport in oil and geothermal reservoirs, and in groundwater aquifers. However, mathematical models of many flow and transport problems could only be obtained as Laplace space solutions, and hence, their computations had to involve a numerical inversion technique.In this work, we employ the iterated Laplace transformation technique to develop novel closed form solutions to the tracer transport models in heterogeneous media. Two types of configurations have been considered: tracer transport in single fracture located in low-permeability matrix and tracer transport in a double porosity medium consisting of flowing and dead-end pore systems. In addition, both linear and radial flow geometries have been considered for both configurations. Applications of iterated Laplace transform technique to these four types of models are presented as fundamental examples and their numerical results were used as benchmarking for the numerical inversion results from Stehfest and Dubner and Abate algorithms.As the technique is quite versatile, we expect that the method should gain widespread acceptance to develop solutions to a wide range of problems in flow and transport in porous media and improve the application of nonlinear regression technique to these solutions.This work has achieved four important objectives: first, two novel Laplace transform relations that are useful in tracer studies are presented. Second, the present work serves to verify/invalidate the results of numerical inversion algorithms. In addition, it provides better insight into tracer transport mechanisms. Finally, it serves as a powerful tool of design and interpretation of tracer tests. All four objectives are illustrated in this work. 相似文献
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A new method for the calculation of time responses of lumped time invariant networks is presented. It is based on the numerical inversion of the Laplace transform and involves the computation of the frequency domain function at pre-assigned complex points and forming a weighted sum. The method exactly inverts a certain number of terms of the Taylor expansion of the time response and is thus equivalent to the methods used for the integration of differential equations. This equivalence is established on two examples. The order of integration can be changed between 1 and 46 without any difficulty. Additional properties resulting from the application of the numerical Laplace transform inversion are also discussed and some novel applications indicated. 相似文献
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Laplace transform technique has been considered as an efficient way in solving differential equations with integer-order. But for differential equations with non-integer order, the Laplace transform technique works effectively only for relatively simple equations, because of the difficulties of calculating inversion of Laplace transforms. Motivated by finding an easy way to numerically solve the complicated fractional-order differential equations, we investigate the validity of applying numerical inverse Laplace transform algorithms in fractional calculus. Three numerical inverse Laplace transform algorithms, named Invlap, Gavsteh and NILT, were tested using Laplace transforms of fractional-order equations. Based on the comparison between analytical results and numerical inverse Laplace transform algorithm results, the effectiveness and reliability of numerical inverse Laplace transform algorithms for fractional-order differential equations was confirmed. 相似文献
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By use of the multiple Laplace transform a partial differential equation and its associated boundary conditions characterizing a boundary value problem in n independent real variables can be transferred directly into an algebraic equation in n independent complex variables. This algebraic equation can be solved for the multiple transform of the solution of the boundary value problem. Multiple inversion of this transform then gives the desired solution. The general theory underlying such solution of boundary value problems in two and three independent variables is advanced in detail. Use of this theory is illustrated by solution of two specific problems. 相似文献
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土钉墙面层承受部分土(水)压力,文中把土钉墙面层看作是弹性地基上的有限长梁,在试验的基础上,推导了基于双参数地基的成层土层分布的土钉墙面层在土钉拉力作用下的挠曲线、转角、弯矩和剪力方程,并与实测数据进行了比较分析,验证了模型的合理性,得到的解析解基本上可以反映土钉墙面层土压力的分布.在此基础上,探讨了不同土性土层中土钉墙面层土压力的分布.面层土压力在土层的分界面上位移连续土压力突变;作用在软弱土层的面层土压力比硬土层上的面层土压力大;上软下硬型较上硬下软的土层分布更能使面层土压力得到充分发挥;同时文中计算了面层土压力换算成荷载与土钉拉力的比值,面层对于土压力的作用随着深度的增加表现得愈加明显,提出针对不同地区不同深度和不同土性条件下应给出比值的建议值,以使土钉墙的设计更符合其真实的作用机理.文中得到的结论和计算方法对于进一步研究土钉墙的作用机理及设计中如何充分发挥面层的作用等具有重要的理论意义和实际应用价值. 相似文献
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Pa-Yee Tsai 《Journal of The Franklin Institute》2010,347(10):1850-1862
In this paper, a hybrid method which combines the Adomian decomposition method (ADM), the Laplace transform algorithm and the Padé approximant is introduced to solve the approximate analytic solutions of the nonlinear Riccati differential equations. This hybrid method demonstrates accurate and reliable results, and has a great improvement in the ADM truncated series solution which diverges rapidly as the applicable domain increases. Three examples herein are given to demonstrate good accuracy and fast convergence in comparison with the exact solution. 相似文献