查询词典 boundary element method

According to the fractional derivative model of viscoelastic damper and force-deformation-slip relation of friction element,a precise finite element model of FVD is constructed,and the method for forming element stiffness matrix and control force vector of FVD is deduced.

针对粘弹性材料的分数导数模型和摩擦单元的力-位移-滑移量的矩阵关系式，建立了FVD精确的有限元模型，推导了FVD单元刚度矩阵和控制力向量计算公式和求解方法；根据钢筋混凝土框架结构的非线性特性，建立了设置FVD非线性钢筋混凝土框架结构地震反应时程分析的控制方法。

The main contents include: Some preliminary theory (introduction to Sobolev spaces and variational formulations for differential equations); finite element methods for one-dimensional elliptic problems; the construction methods for general finite elements; error estimates for interpolation operators and inverse inequalities for finite element spaces; a priori and a posteriori error estimates for the finite element method for high-dimensional elliptic problems; some typical spectral methods for partial differential equations; error analysis for the spectral approximation for some linear and nonlinear partial differential equations.

主要内容有：准备知识（Sobolev空间的基本概念和主要结果，微分方程的变分描述）；一维椭圆型方程有限元方法；一般有限元的构造；插值算子误差估计和逆不等式；高维椭圆型方程的先验、后验误差估计；求解偏微分方程的几类谱方法；线性与非线性问题谱逼近的误差分析等。

The effect of the elastic-plastic matrix of friction soil with nonrelevant flow rule on the numerical convergence of finite element method is analyzed in this paper; and the effect of elastic modular, poisson ratio and earth pressure coefficient on numerical results are studied in this paper. At the same time, the hybrid element with a mixture of displacement and stress variables and the conventional element with solely displacement variable are compared when used in geomaterials.

在ABAQUS有限元分析软件的基础上，本文研究了服从非关联流动法则摩擦性土体的弹塑性矩阵对有限元数值算法的影响，并研究了弹性模量、泊松比以及地基土压、力系数对数值计算结果的影响，同时探讨了数值分析过程中常规位移元与杂交元在岩土工程中的应用。

In chapter 4,on the basis of chapter 3,a new formulation of hybrid/mixedsingular plate element based on Reissner's plate theory is set up,and 4-node arbitraryquadrilateral hybrid/mixed singular bending plate element formulas including theeffects of transverse shear deformation is derived,then by the use of this method,alarge quantity of numerical computations are carried out,at the same time,the resultsare compared with theoretical solutions and the results obtained by other singularfinite element methods.

第四章 在第三章的基础之上，建立基于Reissner型板理论之上的杂交/混合奇异板单元列式，推导出了考虑剪切效应的四节点任意四边形杂交/混合奇异弯曲板单元公式，并进行了大量的数值计算，同时与理论解析解和其它有限元解进行了比较，计算结果表明：本文提出的杂交/混合奇异板单元方法是可以用于计算含裂纹平板弯曲应力强度因子的一种高效、可靠、简便易行的方法。

Using linear elastic fracture mechanics and finite element method and window moving technique, a two-dimensional asphalt pavement crack propagation path simulator program has been developed with a combination of 8-node quadrilateral isoparametric element and 6-node triangular collapsed singular isoparametric element.

鉴于影响沥青路面早期裂缝的因素多而复杂，给出了影响沥青路面裂缝的因素及其相互作用关系图帮助识别裂纹形成机理。

In the second chapter several new concepts of elasto-plastic fuzzy stiffness and element are proposed. The fuzzy element matrixes corresponding to the elasto-plastic fuzzy element are also established. In order to use the bilinear and trilinear restoring force modles on analysis seismic responses of structures. A fuzzy mathematical method for dealing with the critical points of the restoring force curve is proposed too.

第二章针对结构在地震弹塑性分析中的刚度模糊性，提出了模糊刚度的概念，并进一步对平面和杆系的弹塑性问题提出了弹塑性模糊单元的概念，建立了相应的模糊单元刚度矩阵；为了利用现有的折线恢复力模型，并且更好地反映结构刚度的过渡性，还给出了用模糊数学处理折线恢复力模型刚度折点的方法。

According to the shell finite element theory, the proposed method was based on the simulation of corrugated steel web by orthotropic plate element and that of flange plate by isotropic plate element respectively.

为了提高波形钢腹板箱梁的结构计算精度，本文根据板壳有限元理论提出了一种新的空间计算方法。

The paper gives stiffness matrix and mass matrix in finite element analysis of the ground vibration problem caused by track traffic by using three-dimension finite element method. Because three-dimension finite element analysis is very difficult, it is transmitted into a quadratic programming, which can be calculated by neural network.

本文融合神经网络技术和遗传算法，对轨道交通引起的地面振动进行了正分析和反演，并利用计算机技术实现了地面振动的三维动画模拟，这主要包括：(1)研究了压缩映射遗传算法，利用Banach空间的不动点定理证明了压缩映射遗传算法可以收敛到全局最优值，弥补了标准遗传算法不能收敛至全局最优值的不足。

In this paper, finite element method is used to analyze the sinusoidal buckling of drill-strings with connectors in straight well bore. Three kinds of beam elements, one of them is a newly established transition element, are adopted in the finite element model.

本文运用有限元法分析了直井中考虑接头与井壁接触时钻柱的正弦屈曲，有限元模型采用三种不同类型的梁单元，其中一种是新建立的过渡单元。

It is an object of the present invention to provide a method for producing a magnetostrictive element which can give an anisotropic magnetostrictive element from a starting material containing Sm and a transition metal element.

本发明提供一种使用含有Sm和过渡金属元素的材料，能够得到具有各向异性的磁致伸缩元件的磁致伸缩元件的制造方法。

I hope that this success is just the first in a long series.

我希望这只是成功的开始。

Three dimensional stresses on the interface of tire and soil, tire deflection and soil sinkage are measured.

测试轮胎——沙土界面上的三向应力、轮胎变形和沙土沉陷；建立考虑剪切应力对沙土承载特性产生影响的车轮牵引性能预测模型；分析车轮作用下土壤的纵向稳定性。