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1.
本文采用横观各向同性层状弹性模型,模拟半空间上的层状场地,用阻尼器模拟透射边界代替半空间以吸收能量。利用薄层元素法和于结构法,并利用在这种边界下受水平简谐荷载作用下的格林函数,推导了这种场地中竖直单桩在水平—摇摆简谐荷载作用下的横向动力阻抗函数,并用实例计算了不同横观各向同性性质场地下的动力阻抗函数,并由此分析了场地的横观各向同性性质的强弱对单桩的横向动力阻抗函数所将产生的影响。计算表明:弱横观各向同性场地对阻抗函数的影响很小,以至可以忽略这种影响;而强横观各向同性场地对阻抗函数的影响较大,必须考虑其影响。另外,桩头约束的存在与否,对单桩的横向阻抗函数值也有较大的影响,桩头有约束的阻抗函数值要明显大于无约束的阻抗函数值。  相似文献   

2.
选用更具广泛性的层状横观各向同性弹性地基模型,来分析四边自由各向异性矩形地基板的弯曲解析解。先基于直角坐标下横观各向同性体的静力胡海昌通解,借助双重傅里叶变换及矩阵传递法,获得层状横观各向同性地基的静力位移场和应力场;然后将异性薄板的弯曲控制方程,与基于层状横观各向同性弹性地基的位移解建立的板与地基变形协调方程相结合,先按对称性分解,再用三角级数法,得出层状横观各向同性弹性地基上四边自由各向异性矩形薄板的弯曲解析解,包括地基反力、板的挠度及板的内力的解析表达式。克服了数值法的弊端,取消了对地基反力的假设,且避免了矩阵指数函数的计算;同时考虑了地基的层状性及板和地基的各向异性,从而得到板的内力及地基反力更切实际的分布规律。算例结果与文献的有限元结果吻合良好,证明本文方法是切实可行的。  相似文献   

3.
选用更具广泛性的层状横观各向同性弹性地基模型,来分析四边自由各向异性矩形地基板的弯曲解析解。先基于直角坐标下横观各向同性体的静力胡海昌通解,借助双重傅里叶变换及矩阵传递法,获得层状横观各向同性地基的静力位移场和应力场;然后将异性薄板的弯曲控制方程,与基于层状横观各向同性弹性地基的位移解建立的板与地基变形协调方程相结合,先按对称性分解,再用三角级数法,得出层状横观各向同性弹性地基上四边自由各向异性矩形薄板的弯曲解析解,包括地基反力、板的挠度及板的内力的解析表达式。克服了数值法的弊端,取消了对地基反力的假设,且避免了矩阵指数函数的计算;同时考虑了地基的层状性及板和地基的各向异性,从而得到板的内力及地基反力更切实际的分布规律。算例结果与文献的有限元结果吻合良好,证明本文方法是切实可行的。  相似文献   

4.
层状横观各向同性饱和土的非轴对称动力响应   总被引:2,自引:1,他引:1  
黄义  王小岗 《力学学报》2005,37(2):215-224
通过方位角的Fourier变换,将圆柱坐标系下横观各向同性饱和土的Biot非轴对称波动方 程转化为一组一阶常微分方程组. 然后基于径向Hankel变换,建立问题的状态方程;求解状态方程后,得到传递矩阵. 进而利用传递矩阵,结合饱和层状地基的边界条件、排水条件及层间接触和连续条件,求解 了任意震源力作用下层状横观各向同性饱和地基频域动力响应问题. 时域解可通过频率的Fourier积分得到.  相似文献   

5.
横观各向同性层状场地对环形简谐荷载的位移响应   总被引:2,自引:0,他引:2  
陈Rong  薛松涛 《力学季刊》1999,20(2):139-147
本文采用横观各同性层状粘弹性模型拟半空间上之的层状场地,用阻尼器取代其下部的半空间以吸收振动能量。  相似文献   

6.
首先引入状态向量,将直角坐标系下横观各向同性饱和土的Biot波动方程转化为一组状态方程,然后基于双重Fourier变换,求解了状态方程,得到传递矩阵.进而利用传递矩阵,并结合饱和地基的边界条件、排水条件及层间接触和连续条件,求解了横观各向同性饱和层状地基的稳态动力响应问题.  相似文献   

7.
基于饱和介质的三维波动理论的Biot模型,利用Fourier展开和Hankel变换,并借助算子理论,给出了圆柱坐标系下横观各向同性饱和土波动方程的非轴对称通解;利用通解,建立了饱和土层及饱和半空间的精确动力刚度矩阵;借助刚度矩阵,给出层状横观各向同性饱和地基中,作用沿土层深度方向分布的竖向和水平柱面载荷时的动力Green函数,进而解决了利用间接边界元法分析桩-饱和土动力相互作用的关键问题.  相似文献   

8.
本文从横观各向同性梁的二维问题出发,研究了横观各向同性热弹性梁的精化理论。首先,在不作任何预先假设的条件下,利用横观各向同性热弹性理论和Lur’e算子函数,获得了由梁中线上的物理量表示的位移场和应力场。对热弹性梁上下表面承受非齐次边界条件的情况,推导出梁的近似控制微分方程。再舍去温度项,则横观各向同性热弹性梁的精化理论退化为横观各向同性梁的精化理论。  相似文献   

9.
将与板相关的各力学量展开为Fourier-Bessel级数,利用解析法对弹性圆板下横观各向同性弹性地基的轴对称问题进行了分析。这些级数中的待定系数由板的边界条件、板的控制方程、地基-板的相容条件加以确定。数值计算结果表明:横观各向同性地基的沉降比各向同性地基的沉降要小,而地基反力则变化不大,说明按各向同性地基进行分析偏于保守。该分析方法将原问题简化为求解代数方程组的问题,且该方法可以推广到板的一般弯曲及层状地基与板的相互作用问题。  相似文献   

10.
岩土介质横观各向同性的模拟   总被引:4,自引:0,他引:4  
评述了岩土介质横观各向同性模拟的进展状况,包括横观各向同性弹塑性及其屈服准则的模拟,并给出了相应的力学模型及其数学表达式.  相似文献   

11.
IntroductionWhenanalyzingthedynamicinteractionofasoil_structuresystem,thekeystepistocalculatethedynamicstiffnessmatrixoftheso...  相似文献   

12.
数字图像相关法在相似材料模拟试验中的应用   总被引:3,自引:0,他引:3  
利用相似材料模拟试验研究印度某矿长壁开采采场厚硬顶板的破断规律,针对试验中传统的位移测量法的不足,引入了数字图像相关法。通过恰当布设模型、合理控制光照强度,实时用高分辨率数码相机拍摄模型在开采过程中的表面变形图像,借用数字照相图像分析与结果可视化应用软件系统GeoDPDM对序列照片进行相关性分析,得到了开采过程中上覆岩层变形的位移场和应变场。将分析结果与传统测量方法所得结果对比,得到两种方法具有较高的一致性,并将测试精度提高到0.6mm/pixel,成功实现了大范围模型变形的全场、非接触式测量。  相似文献   

13.
Summary Analytical closed-form solutions are proposed in a rather compact form for the stress and displacement fields induced by out-of-plane loading of a semi-infinite anisotropic material with inclined strata. The solutions are then extended to include the case of a bimaterial with a planar interface. Several boundary conditions are considered for the interface which may be between two anisotropic half-planes with different elastic properties, or two different orientations of the strata in the same material.  相似文献   

14.
瓦屋山水电站厂房区红层岩体古滑坡稳定性研究   总被引:3,自引:0,他引:3  
王子忠  许模  杨绍平 《力学学报》2011,19(2):213-218
红层岩体以其岩体结构的软硬相间及软弱夹层发育而在边坡稳定方面表现为"易滑地层"。瓦屋山水电站厂房区边坡为顺向坡,砂岩类岩石与黏土岩类岩石呈缓倾、互层状(倾角10°~20°)产出。构造与表生改造作用下,在这两类软硬相间的岩石界面上常形成分布较为连续的软弱夹层,这类岩体较易沿软弱夹层产生顺层滑动。地质历史时期,瓦屋山厂房区就是在这样的地质背景下,形成了多个古滑坡体,如颜湾和庙子岩古滑坡,它们在自然状态下已基本稳定。随后因风化剥蚀等作用,古滑坡体形态被改变或被来自后缘斜坡的坡残积层所掩埋,使其在勘察期间难以被发现。庙子岩滑坡即是这样一个被掩埋的古滑坡体坡,施工开挖过程中,由于切脚及降雨作用,使其重新滑动复活。本文以反复剪试验得到的滑动面抗剪参数,采用边坡稳定极限分析能量法(Energy Method Upper Baond Limit Analysis),简称EMU法,对庙子岩古滑坡在各种工况下的稳定作了计算,并据其结果采取了相应的抗滑处理。本文可作为红层岩体地区该类型滑坡勘察和工程处理设计的参考。  相似文献   

15.
The consolidation of a saturated porous medium submitted to a vertical load is a classical problem, and has been given a complete analytical solution within the framework of linear poroelasticity. For a layer constituted by several homogeneous strata, the problem can be dealt with by means of analytical as well as numerical methods, provided that the contrast between the properties of the strata remain moderate. In this paper, we consider a layer constituted by two strata and discuss the situation in which the contrast between the properties of the strata becomes very large and fluid conduction exhibits very different characteristic times in each stratum. The method used consists in introducing a double time scale, and gives an analytical solution, which makes it possible to discuss the influence of the ratio between strata thicknesses on the overall consolidation time of the layer.  相似文献   

16.
为了分析不同压实矸石的充填体置换``三下'煤柱所引起的岩层移动及稳定性等问题, 采用弹簧原理和弹塑性理论分析了上覆岩层和矸石充填支撑体的压缩机理, 并推导了矸石充 填体的初期压缩量; 根据充填体的压实原理、岩层力学及相关理论, 推导了不同矸石充填体 压实度所对应的压缩值及等价采高的解析式; 结合工程实例, 采用理论计算和数值模拟方法 分析了不同矸石充填体置换煤柱所对应的上覆岩层移动规律. 结果表明, 随着充填体压实度 的减小, 二次岩层移动所引起的顶板下沉值和等价采高都是不断增大的, 而当孔隙比达到 0.55左右, 所得到的等价采高$H_{e}$增长速度更加灵敏, 并且最大侧向位移增加趋势明显 加快.  相似文献   

17.
The problem of calculating regions of residual viscoplastic oil with a critical pressure gradient is considered. This problem has hitherto been solved mainly for uniform strata (see, for example, [1–3]) but in the present paper, which follows the work of Entov, Pankov, and Pan'ko [4], the problem is considered not only for uniform strata but also for layered strata and vertically nonuniform strata. It is shown that for sufficiently thin strata allowing free flow between individual seams the formulation of the problem is the same for the piston model and the Buckley-Leverett model and reduces to a two-dimensional boundary value problem with a continuous nonlinear effective flow law for the water. An approximate numerical method of calculating regions of residual oil that is suitable for the three listed types of strata is described and illustrated by examples.  相似文献   

18.
Boundary-value problems of two-dimensional flows in porous media are investigated in finite form for a broad class of strata with harmonic conductivity. The conformal covariance of the conjugation problem formulated is demonstrated. This makes it possible to reduce it to a canonical problem whose solutions are represented by quadratures. The solutions obtained are applied to new problems associated with the operation of a well in soil strata under complex geological conditions.Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 3, pp. 102–112, May–June, 1995.  相似文献   

19.
During longwall mining, the intact strata start to deform and fracture as the mining face progresses. Gob gas ventholes (GGVs) are drilled from the surface over a longwall panel before mining to capture methane from the fractured zone. Due to fracturing and bedding-plane separations, reservoir properties change extensively. This poses a major problem for venthole designers and methane control engineers and may become a safety and health concern for underground work force due to unexpected methane emissions: it is difficult to predict the location of major strata separations and their temporal magnitudes to best locate the ventholes. Measurements obtained at different times during longwall mining may not be helpful for this purpose as strata deformation is a dynamic process and the results from different tests may not be lumped together to analyze the data collectively. This article uses a combination of Monte Carlo (MC) simulation and well testing methods to analyze multiple data sets obtained from a GGV at different longwall face locations. The aim was to determine the magnitude of average strata separation before conducting well test analyses to determine the properties of a deformed reservoir. MC simulation was used to process cross-correlated and uncertain data distributions obtained from measurements to generate a set of normally distributed values for each data type. These values were further used to project the amount of strata separation to the timing of well test. Finally, well-test analyses were used to interpret test data and to evaluate reservoir properties.  相似文献   

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