查询词典 solution plane

This paper presents the boundary value problem solved as the biharmonic equation of upper plane and strip domain with Green functional method and it deals with the numerical solution of bihormonic equation, using the Matlab program calculation to realize the visualization of numeric solution.

用Green函数法求解了区域为上半平面和带形区域的双调和泊松方程的边值问题；以及探讨了双调和方程的数值解，并用Matlab编程计算实现了双调和方程数值解的可视化。

In order to reasonably depict four basic problems with friction, one Coulomb friction new form in first Kirchhoff stress is proposed to deal with finite deformation problems, other Coulomb friction form in incremental mode to elastoplastic flow theory; Hilbert function spaces concerning elastoplastical problems with friction are established, so it makes all operations and calculations in the treatise standardized within the scope of reasonably topologic structure; In view of functional extremum, the equivalence between generalized variational inequalities principles in elastoplasticity with friction and corresponding basic problems are testified by inducing Lagrangian multipliers, so it provides a rationally theoretical basis for numerical methods in elastoplasticity with friction; From the viewpoint of variational inequality, the theory of generalized variational inequalities in elasticity and elastoplasticity with frictional constraint is studied, and the uniqueness and existence of the solution of FEM is proofed under the proposed conditions of stress compatibility, and them FEM approximation and a discrete solution are discussed; Based on the principles of generalized variational inequalities in elastoplasticity with friction, direct generalized variational inequalities methods is pretended, which is a natural generalization and development of direct variational methods; Using generalized variational inequalities methods, some examples in metal forming including plane deformation, upset and extrusion are analyzed and the results prove that all the theories and methods in the paper are right, feasible, accurate and advanced.

主要内容有：为了合理地描述金属塑性成形中摩擦约束弹性、弹塑性基本问题，提出和研究了有限变形下以Kirchhoff第一应力表示的Coulomb摩擦定律形式和弹塑性流动理论下以增量形式表示的Coulomb摩擦定律表示形式；系统建立了摩擦约束弹塑性问题的Hilbert函数空间，使本文规范在一个具有合理的代数拓扑结构内进行一切操作和运算；利用Lagrange乘子，从泛函极值的角度系统地阐述和论证了一系列摩擦约束弹性、弹塑性广义变分不等原理与相应的实际问题之间的等价性，它为处理摩擦约束的弹塑性力学数值方法提供了合理的理论基础；从变分不等式的角度出发，阐述了对应于摩擦约束弹性、弹塑性问题的广义变分不等式理论，首次提出了在应力相容性条件下，它的有限元解具有存在唯一性，进而讨论了其有限元近似及离散解法；基于摩擦约束弹塑性广义变分不等式原理，首次提出了直接广义变分不等式方法，这一方法是直接变分法的合理推广和发展；利用直接广义变分不等式方法对金属压力加工中的平面变形问题、镦粗、挤压等塑性成形问题进行了分析计算，验证了该理论和数值算法的正确性、实用性、精确性和优越性。

It is proved that the two-dimensional non-hydrostatic Boussinesq equations on the x ? z plane with the kinetic viscous term and the thermal dissipative term are unstable equations in the C 2 function class.2. If we replace the influence of the kinetic viscous term by Rayleigh friction and the thermal dissipative term by Newton cooling, the new generalized equations are stable equations in the C 1 function class. The construction of the solution space and the discriminating method for well-posedness of the problem of determining solution are given.

本文的主要结果如下：1证明了在y方向上均匀的带有运动粘性项以及热耗散项的两维非静力、Boussinesq近似的x-z面上两维旋转流体的控制方程组在C 2函数类中是一个不稳定的方程组。2如果以瑞利摩擦来代替粘性的影响，以牛顿冷却来代替热量的耗散，则所获得的一个新的方程组在C 1函数类中是一个稳定的方程组，给出了其解空间的构造和各种定解问题的适定性的判别方法。

Regarding to the multi-granularity of and analysis demand of stock index futures transaction data, this article proposed a classification method based on support vector machines. Tangent plane solution of support vector machines is established by introducing geometrical solution. Therefore, investors can be classified based on straightforward transaction data.

针对股指期货成交数据的多粒度性以及成交数据分析的需求，本文提出在解决噪声、多粒度数据分类问题方面有突出优越性的支持向量机分类方法，引入几何求解方式，提出了支持向量机的切平面解法，根据成交数据直观地对投资者进行分类。

A calculation method for the ultimate tip resistance of rock socketed pile was conducted. The geostatic stress of soil and rock was considered as homogeneous load on the tip plane of the pile, and then the force of the pile tip was decomposed into some simple forces. According to the theory of slipping line, the most dangerous point on the tip plane of the pile was confirmed, and the stress of the point was obtained according to Mindlin solution.

为求出桩端极限承载力的表达式，本文将嵌岩段以上岩土层自重视为作用在基岩半平面上的均布荷载，把桩端合力分解为相对简单的荷载作用于基岩平面上，利用滑移线理论并通过叠加的方法分析出桩端基岩破坏时的最危险点。

Our result shows that the best double couple solution of this Mw5.2 event is 315°,64°and 19°for strike,dip and slip angles respectively,the second nodal plane solution is 214°,74°, and 152°.The focal depth is 25±2km,suggesting that this quake occurred in the lower crust which is much deeper than most continental earthquakes.This lower crust earthquake requires that the rock should be colder than expected.We proposed generation mechanism of this deep earthquake and its implications in rock strength and thermal state.

我们以此速度结构作为模型，利用中国国家地震台网5个台站的宽频带地震数据，采用CAP方法反演2003年8月16日赤峰地震震源机制解并初步确定震源深度：再利用IRIS 9个台站远震体波数据，通过对比高频(0.7～2.0Hz)理论地震图和观测记录的方法进一步精确确定震源深度并验证反演得到的机制解，得出此次地震矩震级为5.2，震源机制解为：节面I：315°/64°/19°，节面Ⅱ：216°/74°/152°，震源深度为25±2km，已深达下地壳。

With this velocity model and broadband records from 5 CDSN stations, we inverted focal mechanisms of Chifeng earthquake on August 16th, 2003 with the "Cut and Paste" method. Then we confirmed focal depth and the source mechanisms by comparing synthetic body waves at teleseismic distance with broadband records of 9 IRIS stations. Our result shows that the best double couple solution of this M w5.2 event is 315°, 64° and 19°for strike, dip and slip angles respectively, the second nodal plane solution is 216°,74°, and 152°. The focal depth is 25±2 km, suggesting that this quake occurred in the lower crust which is much deeper than most continental earthquakes.

我们以此速度结构作为模型，利用中国国家地震台网5个台站的宽频带地震数据，采用CAP方法反演2003年8月16日赤峰地震震源机制解并初步确定震源深度；再利用IRIS 9个台站远震体波数据，通过对比理论计算和观测记录的方法进一步精确确定震源深度并验证反演得到的机制解，得出此次地震矩震级为5.2，震源机制解为：节面I：315°/64°/19°，节面II：216°/74°/152°，震源深度为25±2 km，已深达下地壳。

The complexes areneutral as shown by values of molar conductivity in aqueous solution, namely,〓 The crystal structure determinations show that, in complexes, metal ions werecoordinated by four nitrogen atoms and form slightly distorted square planar configuration,relationship between fluorene ring plane and coordination plane is similar to those betweenpeptide planes of β-folding in proteins. The complex molecules linked by hydrogen bonds formone dimension chain or two dimension network structure.

摩尔电导测定表明他们都是二氧四胺中酰胺氮去质子化后形成的产物。X-射线衍射晶体结构测定表明〓的铜、镍配合物的配位多面体都是稍微畸变的平面正方形，配合物分子中芴基平面与配位平面的关系类似于蛋白质β-折叠结构中肽平面之间的关系，配合物分子之间通过氢键连接成一维链状或二维网状结构。

By using this solution, a plane curved beam subjected to uniform vertical loads and torsions was analyzed. The accuracy and the efficiency of present theory were demonstrated by comparing its numerical results with Hems' solution.

将该解答应用于受均布扭矩和竖向分布荷载的平面曲线梁的分析，将所得结果与Heins解答进行比较，证明了理论的正确。

The results have better correspondence between the presented approach and elasticity solution of plane stress and plane bending problems under thin plate theory, which has a high accuracy.

计算结果与运用平面薄板理论的平面应力问题和平面弯曲问题的弹性力学解之间具有较好的对应关系和精度。

Cynanchum Lingtai apricot production in the average weight 65 grams, the brightly-colored fruit, juicy rich, sweet-sour taste, sweet from the nucleolus, when the late Qing Dynasty famous Shaanxi, Gansu provinces, the Qing imperial court Tongzhi tribute for years.

灵台生产的牛心杏平均单果重65克，果实色泽鲜艳，汁多味浓，甜酸适口，离核仁甜，清末时就驰名陕、甘两省，清同治年间曾为朝廷贡品。

Chenopodium album,Solanum nigrum, and Amaranthus retroflexus were very susceptible to the herbicides. Polygonum persicaria and Abutilon theophrasti were relatively less susceptible to the herbicides, and Lycopersicon esculentum was not susceptible to it. The relationship between reduction rates of weed biomass and PPM values of weed leaves 2,4, and 6 days after treatment was established.

供试的6种杂草对该混剂的敏感性存在显著差异：红心藜Chenopodium album、龙葵Solanum nigrum和反枝苋Amaranthus retroflexus对该混剂最敏感，ED90值分别为47.65、71.67和29.17g/hm2；春蓼Polygonum persicaria和苘麻Abutilon theophrasti敏感，ED90值分别为96.91、114.20g/hm2；而番茄不敏感。