数值分析

In this paper we combining connecting tunnel project of Subway Line 4 at Xidan-lingjing bystreet in Beijing. To aim at the difficulties of building large-span connecting tunnels in the fine sand layer, through roads and underground pipelines, construction nearby buildings and other project difficulties. Using theoretical analysis, numerical simulation, field tests and other research methods to comprehensive and systemic research the stratum deformation mechanism and process control techniques of shallow excavation method, and a series of results were obtained. Firstly, use the stochastic media theory to analyze the stratum deformation mechanism, concretely analyze the analytic equation of surface horizontal displacement and deformation which were caused by the excavation of single-hole and double-hole tunnel, and further discussion on ground settlement, vertical deformation, surface horizontal displacement and horizontal deformation. Analyzing the main influence factors of surface displacement, and combined with practical work to proof the theory which was applied to shallow buried single-hole tunnel in fine sand layer was scientific.

本文结合北京地铁四号线西单～灵境胡同渡线隧道工程，针对在粉细砂地层中修建大跨渡线隧道，下穿道路和地下管线，临近建筑物施工等工程难点，利用理论分析、数值模拟、和现场监测等多种研究手段，对浅埋暗挖隧道地层变位机理及控制技术，深入地进行全面和系统的研究，并取得以下成果：(1)引入随机介质理论，对地层变位机理进行了分析，具体分析了单、双孔隧道开挖引起的地表位移及变形的解析方程，并深入探讨了地表沉降、垂直变形、地表水平位移和水平变形的特点，同时分析了影响地表位移的主要因素，并结合工程实例，佐证该理论应用于粉细砂地层浅埋暗挖单孔地铁隧道的科学性。

Firstly, this paper investigated roundly the basic theory of the ambient vibration method, analyzed systematically the main methods of ambient vibration identification, and discussed their advantages and disadvantages. Then we established the finite element model of structural dynamics and test model and analyzed their mutual relation, improved MUSIC method and correlation function method in the harmonic identification, and gave the subspace method and correlation function method based on continuous model, which is multi-harmonic retrieve technique. And then, this paper also puts forward least-squares method to estimate directly structural physical and modal parameters; this approach replaced the derivative operator in the continuous time model with an equivalent approximation, and estimated the physical parameters of structures by the least-squares method. And then, we discussed the approximation methods of derivative and their convergence. Finally, this paper researched the modal parameters of a frame structure by the simulation and test. The results demonstrated that subspace method, correlation function method and the least-squares method are effective and stable respectively.

全面地研究环境振动识别方法的基本理论，系统地分析环境振动识别方法的主要方法，讨论它们的优点和不足；建立结(来源：6666AB44C论文网www.abclunwen.com)构动力学的有限元模型和试验模型，分析有限元模型与试验模型之间的相互关系；改进谐波识别中的MUSIC识别方法和相关函数识别方法，给出大型结构模态识别的连续型的子空间分解识别方法和相关函数识别方法，这个方法是多元谐波识别方法；提出直接识别结构的物理参数和模态参数的最小二乘方法，这个方法利用导数的近似值代替导数值，并运用最小二乘方法识别结构的物理参数，讨论导数近似值的选择方法，分析算法的收敛性；通过仿真计算和模型实验，研究高层框架结构的模态参数识别，验证子空间分解识别方法、相关函数识别方法和最小二乘识别方法的有效性，算法的稳定性；从理论和试验两个方面分析和研究噪声对识别精度的影响，影响识别精度的因素，以及部分模态成分的模态参数不能够被识别的原因。

The selection of fracture splitting forceparameter mainly depends on experience and no theory can abide by.In this paper aim at the technique of fracture splitting of engine connectingrod, the materials fitting to fracture splitting have been analysed, according tosome influence factors that the former has researched. The influence that thechemistry compositions to the mechanics function and the physical function insteel have been analyzed. The theory of quasistatic fracture splitting of suitableconnecting rod for engine EA827 has been studied. Aimed at the new materialC70S6, the quasistatic procedure has been numerical simulation analyzed bySPH non-mesh method. The solved stress intensity factor module andparameterize model building module have been developed based ANSYS byAPDL.

本论文主要研究发动机连杆裂解工艺，根据已知的一些连杆裂解影响因素，对适合裂解的连杆材料进行了综合分析，分析了钢中各组成化学成分对力学性能和物理性能的影响，针对新型裂解连杆材料C70S6钢，对捷达EA827发动机配套连杆进行了准静态裂解理论分析，并且利用SPH无网格方法对此进行了数值模拟分析，利用APDL开发了基于ANSYS的求解连杆裂解应力强度因子模块和参数化建模模块。

Key words:the three dimensional contact problem with friction;nonlinearcomplementary;nonsmooth equations;generalized derivative;nonsmoothmethod;convergence analysis

给出了三维摩擦接触问题的一个非光滑混合不动点模型及算法，这种算法无须求导数，没有引进任何额外变量，并且可视为一种三维摩擦接触问题的迭代法，利用非光滑分析和不动点理论对算法做了分析，给出了算法的不动点理论背景及算法的理论分析，为模型解的存在性及算法收敛性提供分析依据，最后给出了相应的数值算例。

This paper analyze and study the influence of the superimposition in depth based on the previous achievements and combined with the theoretical qualitative analysis and project instances. The main contents as follow:Chapter 1: Indicate the significance and objective of this paper, review the previous achievements of the transient process and superimposition, and then present the study purpose of this paper.Chapter 2: combined with the physic knowledge of the fluctuation and the superimposition, Indicate the physical essences and the influence of the superimposition phenomena that exist in the diversion pipe system, and take one hydraulic turbine owning only one diversion tunnel and two hydraulic turbines sharing one tailrace conduit for instance to study out the numerical calculation superimpose operations.Chapter 3: From the calculation theory of the parameter of the guaranty calculation of regulation of the hydro-turbine, qualitative analyze the influence of the superimposition on them and the superpose time, combined with some project instances, get the numerical value of the influence of the superimposition and the superpose time.Chapter 4: Based on the previous achievements of the calculation and theoretical analysis of the surge-chamber ground swell, analyze the influence of the superimposition on it and the superpose time.

本文在前人研究成果的基础上，结合理论定性分析及工程实例，对波动叠加带来的影响进行深入分析研究，其主要内容如下：第1章，指出本文研究的意义和目的，回顾前人对水电站过渡过程及波动叠加方面的有关研究成果，在此基础上提出本文的研究内容；第2章，结合物理学中有关振动与波动叠加方面的有关知识，阐述水电站引水发电系统中存在的波动现象的实质及其影响，并以两机一洞和一机一洞具有上游调压室或下游调压室的水电站拟定其数值计算叠加工况；第3章，从机组调保参数的理论出发，定性的分析波动叠加对机组调保参数的不利影响及叠加时间，结合几个工程实例，得到波动叠加带来的影响大小及叠加时间；第4章，在前人对调压室涌浪进行计算和理论分析的基础上，分析波动叠加对调压室涌浪的影响及其叠加时间。

In the deformation analysis, equilibrium hyperelastic constitutive equations which are obtained by our experiments are applied; In the dissipation energy analysis, dissipation energy is calculated by combining the stress-strain distributions derived from the deformation analysis and viscous dissipation characters; In the heat transfer analysis, combining temperature on tire side tested by drum test, a numerical inverse method is described for determining the heat convection boundary on tire side.

变形分析中，采用了平衡态的超弹性材料模型；损耗分析中，依据变形分析获得的应力应变场，结合材料粘性损耗特性来获得损耗能量；热传导分析中，依据实测的轮胎胎侧温度场，提出了一种基于实验的数值反演方法来确定胎侧的对流热边界条件。

Based on the load transmission mechanism of space truss, and referenced theanalysis of test materials, a formula for calculating the bearing capacity of reinforcedconcrete compression strut is introduced. By using the theory of plastic hinge-line, anupper limit solution of bent bearing capacity for four-pile cap, which coincidesprecisely with the practical measurements, is obtained. By utilizing the reaction ofthe soil under cap and by basing on the method of plastic ultimate analysis, an upperlimit solution of punching shear bearing capacity for pile cap is acquired, which. coincides precisely with the practical measurements, and the formula is similar to thecode.A brief discuss on cooperative work of strip beam of foundation and single rankof piles is made. Separately considering the pile-cap and the pile-group, thencoupling their matrix of rigidity, the inner force of pile-cap is solved by the numericalmethod under some reasonable supposition. In comparison with other method, thecalculating results are exact, reliable and convenient in using. The method provides apowerful tQol fOr further analysis and research on this kind of structure.

本文以空间桁架传力机理为基础，结合试验资料分析，推导了钢筋混凝土等边三桩承台受冲切承载力计算公式；根据塑性铰线理论，导得了与试验结果吻合良好的四桩承台受弯承载力的上限解；利用承台底土反力分布，根据塑性极限分析方法，导得了桩基承台受冲切承载力的上限解，在此基础上，通过简化假定，得到与规范公式相类似的承台受冲切承载力实用公式，该公式能方便考虑台底土反力作用，与试验结果的吻合程度比规范公式好；简要讨论了桩基条形承台梁与单排桩的协同工作分析；在一些合理假定的基础上，将承台与群桩分开考虑，分别得到其刚度矩阵后进行耦合，通过数值方法求解承台内力，算例表明，该方法结果准确，使用方便，为该类结构的进一步分析研究及工程设计提供了强有力的工具。

The long-term seepage control effects of the surrounding rocks of the underground powerhouse are performed by a stationary seepage analysis method combining the variational inequality formulation of Signorini's type with an adaptive penalty Heaviside function to guarantee the numerical stability and convergence. Meanwhile, the difficulty in finite element mesh generation is reduced and the calculation time and modeling accuracy are balanced with a global model of equivalent modeling and a submodel of accurate modeling for drainage hole array.

为确保数值计算的稳定性和收敛性，采用Signorini型变分不等式和自适应罚函数相结合的稳定渗流分析方法，对厂房围岩的长期渗控效应进行计算分析；同时，采用基于等效模拟的整体模型分析和基于精细模拟的子模型分析相结合的方法，以减小有限元建模难度并协调计算量和计算精度之间的矛盾。

The presterssed anchor cable frame combined with backwall, drainage is necessary due to longtime sability and permanent utilization.Firstly,according the study of engineering of geology situation of the high slope, the mechanism of deformation failure and the major hazard of the high slope of PanMei is analysed comprehensively.And the whole slope is divided into two different geology enginnering areas:Western slope(1160 section plane -1240 section plane)and Eastern slope(1240 section plane -1320 section plane). The result of 3D numerical simulation is the same as geology judgement. Later,slope cut (1:0.75) is implemented based on the engineering comparison and criterion.Meanwhile, Limit equilibrium method , Monte Carlo Probabilistic slope stability the stability , Sensitivity analysis and Finent element method of for assessing the cutted slope stability is carried out. The result indicates that Western slope is instable, Eastern slope is relatively stable.So much attention should be paid to Western slope.Different reinforcement measures in different areas are given according to its stability and meet economical request. Gravity wall is introduced in accordance with landform in order to prevent small falling at the foot of the high slope ,which will be a threat to the high slope stability. Handling measure is also applied to Eastern slope. At last,FLAC3D numerical analysis shows the feasibility and reasonableness of the handling measure of the high slope.

论文首先研究了边坡的工程地质条件，全面分析边坡的变形破坏机制和边坡的主要地质灾害，将边坡分为西段不稳定边坡区(1160剖面～1240剖面)和东段相对稳定边坡区(1240剖面～1320剖面)，通过三维数值模拟再现了边坡在自重作用下的破坏机制和过程；在此基础上通过工程类比和规范要求，确定按照1：0.75进行放坡处理，并分析了放坡后边坡的稳定性状况，分别通过极限平衡法、蒙特卡洛法概率分析、参数敏感性分析和有限元稳定性计算等多种方法对边坡在各种工况下的进行稳定性研究，计算结果表明，西段边坡较之东段边坡稳定情况差，是边坡支护的关键之处，而东段边坡相对是稳定的；边坡的综合治理措施选用的是框架锚索并结合挡土墙和排水工程，治理设计根据不同区段的稳定性情况采用不同的支护结构，做到了经济合理的要求；在边坡的坡脚设置重力式挡土墙，防治边坡小规模的崩塌，会对上部的锚索支护护造成不利影响，进而影响边坡的稳定；东段边坡的填方区也给出了治理对策；最后通过三维显示拉各朗日有限差分程序(FLAC3D)模拟了高边坡放坡和支护效果，论证了治理措施的有效性和合理性。

The inperfect crystal structure and its analysis for materials, is an elective course for the master graduate student, which include the crystallology principle, development of crystal diffraction, crystal determination and computer simulation of new phase, analysis of solid solution and superstructure, correction of crystal structure and bondvalent theory, analysis of inperfect crystal structure, analysis of amorphous structure and so on.

材料不完整晶体结构及其分析方法，为材料科学及工程等专业硕士研究生的选修课，内容包括晶体学基础、晶体衍射技术最新进展、新相晶体结构测定与数值模拟、固溶体与超结构分析、晶体结构修正与价键理论、不完整晶体结构分析、非晶结构分析等。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。