数学基础

In this chapter the author expounded the origin of the concept of Free-form generators, pointed out that it is the certain result of the development of synchronous multi-axis CNC technology, explained the basic principle of the machining of extended epicycloid bevel gears on Free-form generators and the methods for both hardware and software implementation.

论文第2章是全文的基础，在这一章中，作者论述了Free-form型机床概念的由来，指出它是多轴联动数控技术发展的必然结果；阐述了Free-form型机床加工延伸外摆线锥齿轮的基本原理及其软硬件实现方式；将机床控制系统分解为包含两根虚拟主轴的有两组独立联动的八轴八联动系统；建立了Free－form型机床的数学模型；推导了展成运动速度、加速度及高阶加速度的表达式，为后续的理论分析奠定了基础。

The main problems researched in the dissertation and achievements are as follows: The dissertation explains the science background and the theoretical and actual meaning of the task. The progress and the problems of the flow imaging technique are briefly explained. The advantages of electrical capacitance tomography are discussed. The paper discusses the formation and operating principle of ECT, and builds up the definite mathematical model by detail theoretical analyse, and establishes the Finite Element Model of the system by changing the finite boundary value problem of ECT into equivalence variation problem according to variation principle. On the basis of the FEM of the system, the paper builds the finite element model of the capacitance sensitivity field distribution and programs its finite element simulation software and proves the validity of the FEM of the ECT from different aspects. With the FEM and the qualitative analyse of the effect of each structural parameter of the capacitance transducer on its capability, this paper optimizes the structural parameters of the capacitance transducer, and obviously improves its capability. The compare of the simulated result with the static experimental result shows that the error of them is less than 0.9%.

其主要研究内容包括：阐述课题研究的学术背景及其理论与实际意义，概括总结出流动层析成像技术的发展现状和存在的问题，指出电容层析成像技术的优点；讨论电容层析成像系统的组成及工作原理，进行详尽的理论分析，以变分原理为基础，将ECT的有限元边值问题转换为等价的变分问题，从而建立系统的有限元模型；在系统有限元模型的基础上，建立敏感场的数学模型，编制有限元的仿真软件，并从不同角度证明电容层析成像系统有限元模型的正确性；利用有限元模型，定性地分析电容传感器各结构参数对其性能的影响，并对传感器结构参数进行优化设计，使其性能得到明显的改善。8电极ECT系统的仿真和静态实验结果的比较表明，它们之间的相对误差小于0。

The index system was first set up, which reflected the economy, society, resources and environment conditions in the district. Then, factorization method was employed by using the software SPSS to obtain comprehensive index numbers. The linear regression method and fuzzy mathematics method were used to compute the coordination degree of economy, society, resources and environment. Finally, on the basis of the status of comprehensive evaluation indexes and coordination degree of the district, the main problems in the sustainable development of Beibei District were found out and some suggestions were also proposed.

为将北碚建设成为国家可持续发展示范区，探讨有北碚特色的可持续发展模式，首先建立反映北碚区经济、社会和资源环境发展状况的指标体系；在此基础上，利用SPSS软件对数据进行因子分析，得到三大体系的综合评价指数；将综合评价指数代入eview软件选择适合的回归方程，再利用模糊数学的方法，计算出成立试验区以来北碚的经济、社会和资源环境的协调发展度；最后在综合评价指数和协调度的基础上，发现北碚区协调发展的主要问题并给出建议。

On the basis of gathering data from previous study and researching the stabilization and reinforcing technique of the typical high slope in west approach road, through in-situ tracking investigation and monitoring to the west road, and by way of studying the interaction between slope body and anchoring structure, monitoring data, the result of grey prediction and fuzzy comprehensive assessment, and adopting the idea of integrating prototype investigation and indoor experiment analysis, mechanism analysis and simulation research method, safety factor analysis and interacting relationship study, in-situ monitoring and safety evaluation, and using the theories of engineering geology, geotechnique, rock body mechanic, finite element method and fuzzy mathematics, this paper studies the long-term safety of the typical high slope specially.

本文在收集前人研究资料的基础上，采用原型调研与室内分析相结合、机制分析与模拟研究相结合、安全系数分析与相互作用关系研究相结合、现场监测与安全性评价相结合的思想，通过对鹧鸪山隧道西引道典型高边坡的现场跟踪调研与监测，运用工程地质、岩土工程、岩体力学、有限元理论、灰色系统理论、模糊数学等先进理论和方法，在对西引道典型高边坡的稳定性、整治与加固技术研究的基础上，通过边坡地质体与锚固结构相互作用分析、边坡监测数据分析、边坡变形灰预测分析以及模糊综合评判等途径，重点对治理后的典型高边坡的长期工程安全性进行了系统深入的研究。

In this article two functional modes of the Fly-back Converter (Continuous Conduct Mode and Discontinuous Conduct Mode) are particularly analyzed, which include their characteristics, applications, the critical pattern of two functional modes is argued, both the exact boundary from the angle of circuit parameters is crystallized, at the same time, basic principle of PFC under the DCM mode is introduced, which settle theoretical basis for the subsequent design; by establishing the mathematic model of the converter, a further investigation of the configuration is made, qualitatively and quantitatively, analyzed to settle exactly theoretical basis for the subsequent emulation and the experimental parameter; from the angle of steady-state analysis, the transfer function of the system is deduced to establish dynamic small-signal state equation, emulating the system with the help of matlab, then according to the simulation result and the theory of PFC revise the system, lastly, we adopt the project which add a zero-pole compensator to the voltage loop, by this way, a satisfied system performance is gained and the PFC scheme is ensured successfully; finally, based on the previously-done work, we combining with the situation of specific design requirement, acquired the numerical value of each unit devices in this converter

详细分析了反激式变换器的两种工作状态，连续模式(Continuous Conduct Mode ，简称CCM)和断续模式(Discontinuous Conduct Mode，简称DCM)以及各自的特点、应用场合，论证了两种工作状态的临界模式，从电路参数的角度明确了二者的界限，同时还介绍了DCM模式下PFC的基本原理，为后面的设计奠定理论基础；通过对整个变换器系统建立准确的数学模型，对此变换器的电路结构做了进一步的研究，定性、定量地分析了变换器各部分的工作状态，为仿真和实验参数的确定以及电路参数的优化提供理论依据；从稳态分析的角度，为系统建立了动态小信号状态方程并推导出系统的传递函数，利用matlab对系统进行仿真，进而根据仿真结果以及PFC的相关理论对系统进行校正，采用在电压环加入零点—极点补偿器的设计方案，得到了满意的系统特性并且保证了PFC的顺利实现；最后，在前面所做工作的基础上，结合设计要求计算出此变换器系统中每个元器件的数值，利用Pspice对其进行了仿真、优化，然后根据仿真结果搭建了硬件电路。

Applying combined method of quantitative analysis and qualitative analysis, on the basis of on ago research fruit, this paper firstly analyses main factors that affect the safe distance from friendly force to target for tank gun overhead firing systemically. Based on that, this paper builds math model of calculating the safe distance from friendly force to target separately aiming to the difference of tank gun overhead firing in plane and undulate terrain. At last, through applying Mathematica soft, this paper presents the safe distance from friendly force to target for a tank gun overhead firing used APFSDS, HEAT and HESH, combined qualitative analysis.

采用定量分析和定性分析相结合的方法，在以往研究成果的基础上，首先系统地分析并提出了影响坦克炮超越射击时友军至目标安全距离的主要因素；以此为基础，针对平坦地形和起伏地形上坦克炮超越射击的不同情况，分别建立了确定友军至目标安全距离的数学模型；最后通过运用Mathematica软件进行定量计算，并结合定性分析，提出了某型坦克炮使用尾翼稳定脱壳穿甲弹、空心装药破甲弹和杀伤爆破榴弹进行超越射击时友军至目标的安全距离。

I graduated from Tianjin University of Technology accountancy profession in the school curriculum of junior majoring in financial accounting intermediate financial accounting senior financial accounting cost accounting tax revenue management planning statistically financial management Audit Inspection Company Law Economic taxable property assessment University English Higher Mathematics linear algebra probability and mathematical statistics computer text basis of management information systems accepted all of the University of basic education, be a good professional training and capacity-building in financial management and administration and human resource planning and other fields, have a theoretical basis and practical experience, and a strong research and analysis capability.

需要一份英文自我介绍，情况如下：毕业于天津工业大学会计专业在校主修课程有初级财务会计中级财务会计高级财务会计成本会计学税法税收筹划统计学管理学财务管理学审计学公司法经济法纳税检查资产评估大学英语高等数学线性代数概率与数理统计计算机文化基础管理信息系统等接受过全方位的大学基础教育，受到了良好的专业训练和能力培养，在财务管理和行政管理及人力资源筹划等各个领域，有一定的理论基础和实践经验，并有较强的研究和分析能力。

Based on the eight Chinese traditional yin and yang contradiction categories to analyze among the open and close areas in mathematics to achieve the triple unity of opposite composing relation of identical,resemble,diversity and contrary,the four basic types of logical inference.

用中华传统8大阴阳矛盾范畴分析数学中的开闭区间，得出相同、相似、相异、相反这4大逻辑推理基础类型间存在着三极对立统一的组成关系，进而提出涉及此组成关系的逻辑推理基础类型的互蕴公理及其描述内涵的反演算和逻辑外延的非演算。

This paper summarizes the domestic and overseas study status and developing direction of cam. On basis of the problem that the idler wheel which is the driven part of the cam machine in CT36-110 spring operating mechanism is destroyed easily, the author get much fact material through inner research, and presents a optimal design imagine of disc cam. Through enough compare and argumentation, this paper presents the optimal design model of the disc cam.

本论文阐述了目前国内外对凸轮的研究状况、发展动态和发展方向，根据云南开关厂CT36-110型弹簧操动机构中盘形凸轮机构的从动件——滚轮易损坏的生产实际，深入调查研究，在掌握大量生产应用实际资料的基础上，提出了对盘彤凸轮进行优化设计的思想，并在充分比较和论证的基础上提出了盘形凸轮的优化数学模型。

In order to overcome the technological difficulties encountered in the course of insulation fault diagnosis on the base of dissolved gases analysis, several kinds of mathematic models and actualized methods are brought forward to improve the reliability and veracity of fault diagnosis of transformers. The research works are shown mainly as followings:1 A modified fuzzy multi-criteria method is brought forward for insulation fault diagnosis of transformer. Furthermore, a new method for insulation fault diagnosis is proposed on the base of fuzzy multi-criteria together with rule reasoning. With fuzzy diagnosis in the method, fault reasons are filtrated and then the reasons in low probability are prohibited, Moreover, the left reasons are testified by using rule reasoning and then final concludes are drawn in much less misjudge probability and better results.2 On the base of geometry characteristics of C- partition to sample set of DGA data of transformer, a method is put forward to compute effective radius of neighbor field of a sample, number of clusters and values of initial centers. Moreover, the fuzzy C- means cluster model with adaptive weight is brought forward in the first time and then the fault classifier is designed for insulation fault diagnosis of transformer.3 According to the weakness of the degree of gray of gray incidence, a new formula to compute DGI is put forward and then incidence order criterion is ascertained. Moreover, a new DGI model for fault diagnosis is proposed according to the further analysis to relationship between fault reason and content of oil dissolved gases of transformer.

为解决在应用油中溶解气体分析方法（Dissolved Gases Analysis，简称DGA）诊断变压器内部绝缘故障时所遇到的主要技术难题，论文提出了用于提高变压器故障诊断准确性和可靠性的数学模型及实现方法，主要研究工作如下：1）提出了一种改进的变压器绝缘故障诊断模糊综合评判方法；进一步提出了将模糊综合诊断与规则推理相结合进行绝缘故障诊断的方法，该方法采用模糊推理对故障原因进行"过滤"，滤掉可能性极小的原因，然后进一步利用规则推理验证剩下的可能原因，得出最终结论，大大减少了误判比率，获得了较好的效果。2）根据以变压器DGA数据为特征量的样本空间的c-划分几何特性出发，提出了一种求取样本有效邻域半径和聚类数及聚类中心初值的方法，在此基础上，首次提出了一种自适应加权的变压器绝缘故障诊断的模糊c-均值聚类模型，并设计出故障分类器。3）针对常用灰色关联度的不足，提出了一新的灰色关联度计算公式及确定关联序的准则；并在此基础上，通过深入分析变压器发生绝缘故障时的原因与油中溶解特征气体含量的关系，建立了一种新的故障诊断灰色关联模型；通过实例分析证明，该方法能有效地诊断出变压器绝缘故障及故障部位，大大提高了诊断的准确性。

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。