查询词典 boundary element method

A new method relying on the Stroh formulism and the theory of the surface impedance tensor was developed to investigate the dynamic instability of interfacial slip waves.The concept of the surface impedance tensor was extended to the case where the wave speed is of a complex value,and the boundary conditions at the frictionally contacting interface were expressed by the surface impedance tensor.Then the boundary value problem was transformed to searching for zeroes of a complex polynomial in the unit circle...

基于Stroh公式和表面阻抗张量理论，提出了研究界面滑移波动态失稳问题的一种新的方法·该方法将表面阻抗张量概念推广到复波速域，并将摩擦接触界面上的边界条件以表面阻抗张量表示·最终将边值问题化归为求解一个复多项式在单位圆内的根·以弹性半空间与刚体平面相对稳态摩擦滑移为例进行了详细的分析，导出了一个4次复特征方程并讨论了方程在单位圆内解的特性，给出了滑移界面波失稳条件的显式解析表达式

The second chapter is the main part of this paper, in which the formulation of the Riemann boundary value problem of non-normal type on the real axis, the solution method of homogeneous problem, the relation between the two kinds of different derivatives and the inhomogeneous problem will be thoroughly given. In this paper, the solution and the solvability of the Riemann boundary value problem of non-normal type on the real axis will be given. Furthermore, it is shown that the twokinds of derivatives of the function Ψ are existing and equivalent in the case ofthe solution about the original problem, therefore, we get uniformly Hermite interpolatory polynomial. The relation between the two kinds of different derivativesof the function Ψ are similar for smooth closed contours by means of the same proof.

第二章是本文的主要部分，分别给出了实轴上一类非正则型Riemann边值问题的提法、齐次问题的解法、两种导数的关系及非齐次问题的求解，本文运用杜金元教授[11]的方法获得了实轴上非正则型Riemann边值问题的封闭解及可解性条件，且在问题可解的情况下论证了函数Ψ的非切向极限导数和Peano导数存在且相等，从而获得了统一的Hermite插值多项式，同样关于封闭曲线上非正则型Riemann边值问题，采用本文论证方法证得了函数Ψ的非切向极限导数和Peano导数存在且相等，从而较好地统一了[10]、[11]中的Hermite插值多项式。

In this thesis,the voltage stability boundary is the combined boundary which correspond to Saddle-node bifurcations and Hopf bifurcations.The closest Hopf bifurcation point is found through the proposed iterative method under the assumption that the Hopf hypersurface is continuous and convex.

因此在本论文中，在多维参数空间下，将稳定边界推广到鞍点和Hopf分岔点构成的混合稳定边界，探索性寻求Hopf分岔超平面的法向量，采用迭代算法求取系统发生最近振荡型电压失稳的负荷增长方式。

It has been solved to deal with the boundary when using interpolation function method to evaluate boundary value problem.

解决了插值函数法的边界（以及求解区域内不同介质间分界线）处理问题，其结果已得到实际计算的验证。

Then, the methods used for elastic mixed boundary problems, and the inverse integral transformation method may be employed to solve viscoelastic mixed boundary problems in time domain.

结合在求解粘弹性边值问题中的应用，对各类方法的特点进行了评述，并指出存在的问题及发展新的数值方法的研究重点。

The present method is applied to two-dimensional potential problems and the corresponding discrete equations are derived. Because the shape functions so-obtained possess the Kronecker delta property, the essential boundary conditions can be enforced as the FEM; furthermore, the Heaviside step function is used as the test function, there is no domain integral, and only a regular boundary integral is involved.

因为滑动Kriging插值方法构造的形函数满足Kronecker函数性质，所以本文建立的改进的无网格局部Petrov-Galerkin法可以像有限元法一样直接施加边界条件；由于采用Heaviside分段函数作为局部弱形式的权函数，因此在计算刚度矩阵时只涉及边界积分，而没有区域积分。

The conversion boundary of self-incompatibility was researched by sowing by stage. Sunshine of day and temperature was studied critically by investigating leafage and researching traits indoors. The results showed that the daily minimum temperature was the principal factor of affinity conversion and the affinity conversion boundary was 16.5~18.1℃.HE97 was primarily regard as self-incompatible line in this research. The method was by inbreeding and sib HE97, Half the silk of HE97 and Zheng58. Inbreeding and cross have been done simultaneously. The extending condition of pollen tube was observed by dying the silk after pollinating 4 hours. The individuals with pollen tube were observed having seeds, while the individuals without pollen tube were observed having few seeds or no seeds. So this study regard HE97 as sporophytic self-incompatibility .The planting ration of female parent HE97 and male parent 87-1 was 4:1.The nature cross-pollination was studied by the theory of endosperm xenity, the study show that the setting percentage of HE97 was 625%, in which the seed in self was 70% and the seed in hybrid was 30%. This was consistent with the study of silk anatomy structure, then come to the same conclusion: compatible pollen germination and fertilization can stimulate the self-incompatible pollen germination and fertilization in the same corn cob.

通过分期播种，进行了光温敏自交不亲和材料HE97亲和性转换区间的研究，依据田间跟踪调查叶龄及室内考种研究了HE97亲和性转换区间的光温临界值，结果表明：1日最低温度是影响HE97自交不亲和性的主要原因，亲和性转换区间在16.5℃～18.1℃之间。2通过HE97自交和姊妹交以及将HE97与郑58作为双亲，各自的花丝一分为二，分别正反交，授粉后4个小时分别取其花丝进行固定、染色，观察花粉管的伸长情况，根据结实率与花粉管伸长的对应关系，结果发现观察到花粉管的对应植株收获到了种子，而没有观察到花粉管的对应植株结实率极低或没有结实，本研究把HE97初步划为孢子体自交不亲和类型。3以HE97为母本，87-1为父本，按4母：1父行比，通过花粉直感效应研究天然异交率，结果母本HE97结实良好(62%)，其中自交粒占70%，异交粒占30%，结合花丝切片观察表明，亲和花粉的萌发及受精会导致落在同一果穗柱头上不亲和花粉的萌发不再受抑制。

Corresponding mathematics model was developed, hole-edge stress analysis on composite material plate with multiform holes was carried out, accurate boundary conditions was founded by conformal mapping method, boundary problems of the two stress functions could be treated by affine transformation in the same way synchronously.

建立了相应的数学模型，对含不同孔型复合材料板进行了孔边应力分析，通过保角映射方法建立精确的边界条件，解决了复杂孔型的边界条件问题，借助仿射变换能同时并且同方法的处理这两个应力函数在边界上的问题。

In this dissertation, the dynamic nonlinear layered soil-structure interaction problems are analyzed using a coupling method of finite elements -boundary elements -infinite elements -infinite boundary elements .

本文用有限元—边界元—无穷元—无限边界元耦合法研究了结构-非线性层状地基动力相互作用问题，用频域等效线性化方法处理土壤非线性特性，研究工作的主要内容包括

In this dissertation, we construct the Bariev model with nine kinds of boundary fields by the matrices K_± defining the boundaries. And then the Lax operator is given in the form ofmatrix, as well as the basic quantities, e.g., the R -matrix, the monodromy matrices and the transfer matrices are defined. By using the expression of the local Lax operator of the model,the action of the monodromy matrices T, T~(-1), U_ on the pseudo-vacuum state is given outin detail. Furthermore, the main fundamental commutation relations are obtained through the reflection equations, the recursive n-particle state as well as the one-particle exact solution is given and the Bethe ansatz equations are found accordingly. Finally, we list the nesting boundary K matrices, which play a crucial role for obtaining the n-particle solution and finding the Bethe ansatz equations, the eigenvalues of the transfer matrices and the energy spectrum of the system by means of the nested algebraic Bethe ansatz method.

在这篇文章中，我们利用边界K_±矩阵构造出了具有九种边界场的Bariev模型，同时给出了该模型L算子的具体矩阵表示形式，并定义了R矩阵，monodromy矩阵以及转移矩阵；接着利用L算子的矩阵形式，给出了其对应monodromy矩阵T、逆矩阵T~(-1)作用到真空态上的值，并利用Yang-Baxter关系及反射方程得到了双行monodromy矩阵U作用到真空态上的值；然后利用反射方程通过复杂的计算得到了一系列重要的基本对易关系式，并给出了模型的递推的多粒子波函数、单粒子解及Bethe ansat方程；最后给出了模型的嵌套的边界K矩阵的具体形式，从而为运用嵌套Bethe ansatz方法求解该模型的多粒子解、Bethe ansatz方程以及系统的能谱打下了很好的基础。

The statistical analysis of this large set of mutations has led us to propose a diagnostic strategy that should help with the molecular work-up of optic neuropathies.

这一大系列基因突变的统计学分析引导我们提出一个诊断策略，可以帮助我们对视神经病变进行分子学的诊断检查。

The results show that the pipe grouting changes the mechanical parameters of surrounding rocks to achieve the security of engineering objectives by reinforcing surrounding rocks and bolcking the water.

研究表明：小导管注浆一方面改变了围岩的力学参数，另一方面利用浆液的固结特性可以实现堵水和加固围岩的工程目标，使隧道在开挖过程中的安全得到保障。