基于复阻尼模型水平剪切型结构的时域解析算法          下载免费PDF全文

焦浩鑫  丁肇伟  陈龙珠 《地震工程学报》2021,43(3):720-727

近些年来提出的数值方法虽克服了应用复阻尼模型求解动力响应时可能出现的发散现象,但其计算过程繁杂且不能表达出结构动力特性及响应随结构参数的变化规律。论文参照三对角Toeplitz矩阵特征值问题的数学解法,推导出水平剪切型结构各阶自振频率、振型函数的解析形式。通过对运动方程进行Fourier变换,得到复阻尼理论下结构的传递函数解析式,直观地表达出结构动力特性及响应随结构参数的变化规律。最后通过算例对比分析,结果表明:提出的复阻尼模型的解析计算方法克服了时域发散问题,并与时域数值计算方法的位移响应时程对比发现,两种方法得到的时程曲线吻合程度较高,位移峰值也基本一致。同时,对比两种方法在底层刚度变化时的动力响应,解析方法的计算曲线更光滑,避免了数值方法的离散误差问题。  相似文献   

SAR 图像中不同特性条纹噪声的滤除   总被引：1，自引：1，他引：1  

寇光杰  王贞松  姚萍 《遥感学报》2011,15(1):1-12

分析Burst工作模式星载SAR 系统中, 采用全孔径成像算法会产生周期性明暗条纹噪声的原因, 提出一种简单高效的一维频域滤除算法, 并给出包含该操作的改进距离多普勒成像算法流程。对于因雷达系统本身原因而产生的一些非周期不规则条纹噪声进行讨论, 针对此类噪声提出一种二维频域区域滤波的算法。通过对实际星载SAR 数据的处理, 验证算法的有效性。  相似文献   

基于中心点距离的居民地面要素聚类     

宋昊璘  杨敏华 《测绘与空间地理信息》2020,(4):154-157,162

空间聚类是将空间实体根据某些相似的特性聚类成为一个集合,这个集合称为簇。本文研究了一种基于中心点距离的居民地面要素聚类算法:通过获取面状要素的数据,运用基于其几何中心的距离计算方法,判断面要素之间距离的可达性,并将距离小于阈值的面要素进行聚类,最终以凸包的形式将该集合绘制出来。本文的算法是在VS2010以及ArcGIS Engine开发环境下通过编程实现,并进行多组实验,实验结果表明,该应用程序可以实现居民地面要素的自动聚类。  相似文献   

Poro‐elasto‐plastic response of an unconsolidated formation confined with stiff seal rocks under radial injection          下载免费PDF全文

K. Atefi Monfared  L. Rothenburg 《国际地质力学数值与分析法杂志》2016,40(13):1799-1826

In this article, we evaluate geomechanics of fluid injection from a fully penetrating vertical well into an unconsolidated formation confined with stiff seal rocks. The coupled behavior of an isotropic, homogeneous sand layer is studied under injection pressures that are high enough to induce plasticity yet not fracturing. Propagation of the significant influence zone surrounding the injection borehole, quantified by the extent of the plastic domain in the elasto‐plastic model, is examined for the first time. First, a new fully coupled axisymmetric numerical model is developed. A comprehensive assessment is performed on pore pressures, stresses/strains, and failure planes during the entire transient period of an injection cycle. Results anticipate existence of five distinctive zones in terms of plasticity state: liquefaction at wellbore; two inner plastic domains surrounding the wellbore, where failure occurs along two planes and major principal stress is in vertical direction; remaining of the plastic domain, where formation fails along one plane and major principal stress is in radial direction; and a non‐plastic region. Failure mechanism at the wellbore is found to be shear followed by liquefaction. Next, a novel methodology is proposed based on which new weakly coupled poro‐elasto‐plastic analytical solutions are derived for all three stress/strain components. Unlike previous studies, extension of the plastic zone is obtained as a function of injection pressure, incorporating plasticity effects on the subsequent elastic domain. Solutions, proven to be a good approximation of numerical simulations, offer a huge advantage as the run time of coupled numerical simulations is considerably long. Copyright © 2016 John Wiley & Sons, Ltd.  相似文献   

Estimation of LNAPL saturation in fine sand using time-domain reflectometry / Estimation de la saturation en LPNAL dans du sable fin grâce à la réflectométrie en domaine temporel     

《水文科学杂志》2013,58(6)

Abstract

Abstract Recently, substantial progress has been made in detection and observation of non-aqueous phase liquids (NAPLs) in the subsurface using different experimental techniques. However, there is still a lack of appropriate direct methods to measure the saturation of NAPL (θ_NAPL). This paper provides a guide for estimating θ_NAPL and water content (θ _w ) in unsaturated and saturated sand based on direct measurements of soil dielectric constant (K_a ) and electrical conductivity (σ _a ) using time domain reflectometry (TDR). The results show that the previously used dielectric mixing model fails to predict θ_NAPL in the case of a four-phase system. A new methodology is suggested and exemplified by showing that the measured K_a gives accurate estimation of θ_NAPL for a three-phase system while in a four-phase system, both θ _a and K_a need to be measured. The results show that using the suggested methodology, accurate predictions of θ _w (R ² = 0.9998) and θ_NAPL lower than 0.20 m³ m^-3 (average R ² = 0.9756) are possible.  相似文献   

Unconfined seepage analysis in earth dams using smoothed fixed grid finite element method     

Farhang Daneshmand 《国际地质力学数值与分析法杂志》2012,36(6):780-797

One major difficulty in seepage analyses is finding the position of phreatic surface which is unknown at the beginning of solution and must be determined in an iterative process. The objective of the present study is to develop a novel non‐boundary‐fitted mesh finite‐element method capable of solving the unconfined seepage problem in domains with arbitrary geometry and continuously varied permeability. A new non‐boundary‐fitted finite element method named as smoothed fixed grid finite element method (SFGFEM) is used to simplify the solution of variable domain problem of unconfined seepage. The gradient smoothing technique, in which the area integrals are transformed into the line integrals around edges of smoothing cells, is used to obtain the element matrices. The solution process starts with an initial guess for the unknown boundary and SFGFEM is used to approximate the field variable. The boundary shape is then modified to eventually satisfy nonlinear boundary condition in an iterative process. Some numerical examples are solved to evaluate the applicability of the proposed method and the results are compared with those available in the literature. Copyright © 2011 John Wiley & Sons, Ltd.  相似文献   

空域矢量地理数据水印算法及攻击方法分析   总被引：1，自引：0，他引：1  

郭思远  朱长青  阚映红  杨成松 《测绘科学》2009,34(3)

本文提出了一种数据精度较高的基于灰度图像的空间域矢量地理数据水印算法,总结了一些矢量地理数据水印的常用攻击方法,并通过实验证明该算法对数据精度的影响较小鲁棒性较强,文中的攻击方法能比较全面地评价矢量地理数据水印算法的优劣。  相似文献   

A non‐linear coupled finite element–boundary element model for the prediction of vibrations due to vibratory and impact pile driving     

Hamid Reza Masoumi  Stijn François  Geert Degrande 《国际地质力学数值与分析法杂志》2009,33(2):245-274

This paper presents a non‐linear coupled finite element–boundary element approach for the prediction of free field vibrations due to vibratory and impact pile driving. Both the non‐linear constitutive behavior of the soil in the vicinity of the pile and the dynamic interaction between the pile and the soil are accounted for. A subdomain approach is used, defining a generalized structure consisting of the pile and a bounded region of soil around the pile, and an unbounded exterior linear soil domain. The soil around the pile may exhibit non‐linear constitutive behavior and is modelled with a time‐domain finite element method. The dynamic stiffness matrix of the exterior unbounded soil domain is calculated using a boundary element formulation in the frequency domain based on a limited number of modes defined on the interface between the generalized structure and the unbounded soil. The soil–structure interaction forces are evaluated as a convolution of the displacement history and the soil flexibility matrices, which are obtained by an inverse Fourier transformation from the frequency to the time domain. This results in a hybrid frequency–time domain formulation of the non‐linear dynamic soil–structure interaction problem, which is solved in the time domain using Newmark's time integration method; the interaction force time history is evaluated using the θ‐scheme in order to obtain stable solutions. The proposed hybrid formulation is validated for linear problems of vibratory and impact pile driving, showing very good agreement with the results obtained with a frequency‐domain solution. Linear predictions, however, overestimate the free field peak particle velocities as observed in reported field experiments during vibratory and impact pile driving at comparable levels of the transferred energy. This is mainly due to energy dissipation related to plastic deformations in the soil around the pile. Ground vibrations due to vibratory and impact pile driving are, therefore, also computed with a non‐linear model where the soil is modelled as an isotropic elastic, perfectly plastic solid, which yields according to the Drucker–Prager failure criterion. This results in lower predicted free field vibrations with respect to linear predictions, which are also in much better agreement with experimental results recorded during vibratory and impact pile driving. Copyright © 2008 John Wiley & Sons, Ltd.  相似文献   

以等高线为特征约束的Delaunay TIN的构建     

钟美  杜清运  徐德军 《地理空间信息》2009,7(6):73-76

首先回顾了构建D-TIN常用的三种算法,然后采用改进了的凸包算法建立等高线离散数据点的无约束D-TIN,提出了基于影响域对角线交换的局部调整算法,运用该算法将等高线作为特征约束嵌入到D-TIN中,建立以等高线为特征约束的CD-TIN。  相似文献   

Calculating the macrodispersion coefficient of the ensemble averaged solute transport equation in the discrete domain     

I. Haltas 《水文研究》2012,26(22):3448-3458

Recognizing the spatial heterogeneity of hydraulic parameters, many researchers have studied the solute transport by both groundwater and channel flow in a stochastic framework. One of the methodologies used to up‐scale the stochastic solute transport equation, from a point‐location scale to a grid scale, is the cumulant expansion method combined with the calculus for the time‐ordered exponential and the calculus for the Lie operator. When the point‐location scale transport equation is scaled up to the grid scale, using the cumulant expansion method, a new dispersion coefficient emerges in the dispersive term of the solute transport equation in addition to the molecular dispersion coefficient. This velocity driven dispersion is called ‘macrodispersion’. The macrodispersion coefficient is the integral function of the time‐ordered covariance of the random velocity field. The integral is calculated over a Lagrangian trajectory of the flow. The Lagrangian trajectory depends on the following: (i) the spatial origin of the particle; (ii) the time when the macrodispersion is calculated; and (iii) the mean velocity field along the trajectory itself. The Lagrangian trajectory is a recursive function of time because the location of the particle along the trajectory at a particular time depends on the location of the particle at the previous time. This recursive functional form of the Lagrangian trajectory makes the calculation of the macrodispersion coefficient difficult. Especially for the unsteady, spatially non‐stationary, non‐uniform flow field, the macrodispersion coefficient is a highly complex expression and, so far, calculated using numerical methods in the discrete domains. Here, an analytical method was introduced to calculate the macrodispersion coefficient in the discrete domain for the unsteady and steady, spatially non‐stationary flow cases accurately and efficiently. This study can fill the gap between the theory of the ensemble averaged solute transport model and its numerical implementations. Copyright © 2011 John Wiley & Sons, Ltd.  相似文献