数学分析

Integrated the section and member analysis a program, an integrity analysis program is designed, which could analyze a simple supported beams bearing concentrated load in trisection point or uniform load.

Mathematica软件的符号式解答，使得程序的分析可以得到描述无粘结预应力混凝土特性的分析数学表达式，为进一步的理论分析研究奠定了基础。

The paper analyzes the fundamental characteristics of walking beam reheating furnace"s velocity control system in theory, and exactly builds the mathematical model of walking-beam-type reheating furnace"s velocity control system by mechanics analysis. It analyzes capacity speed governing systems dynamic characteristic and anti-interference performance in load. It also simulinks the system.

本文从理论上分析了步进梁加热炉速度控制系统的基本特性，并通过力学分析比较精确的建立了步进梁加热炉速度控制系统的数学模型，分析了泵控容积调速系统的动态性能和抗负载干扰特性，并进行了仿真。

That attical is to appty the regression analysis and the colleet analy- sis in the mathematics statistics method to make the first definite mea- sure analysis for recationship of physical geography factor and divis on of geographical type.

本文应用数理统计方法中的回归分析和聚类分析，对自然地理要素间关系和地理类型的划分作了初步的定量分析。在回归分析中，应用我国山地的降水资料建立了地形高度对降水影响的数学模型，得出山地降水垂直分布规律服从于线性、幂函数、指数函数和对数律。

The testing, answering system was developed out by the ASP.net. Two test papers were abstracted from the system by the combination of the certain proportion and binominal distribution mathematical models stragety. The two test papers were tested by 52 students through the cross design. The difficulty and discrimination of items and the reliability and validity of the test papers were worked out with Education Statistics, factor analysis, relative analysis etc.

运用ASP.net技术开发了组卷、答卷、阅卷系统，应用重点等级定额比例分配与难度等级二项分布数学模型相结合的组卷策略随机抽出2套试卷，采用交叉设计对52名预防医学本科学生进行测试，用教育测量学原理、因子分析、相关性分析等方法分析两套试卷试题的难度、区分度和试卷的信度、效度。

Using numerical analysis method and GLSFA the paper researches into the plane, conicoid and three cubed anti error fitting model.

利用数值分析方法和GPS水准拟合过程分析软件对相关平面、二次曲面和三次曲面抗差推估数学模型进行对比分析研究。

Mathematical model was set up,on the basis of dynamics formulation,normal expanse of the target interface ,and supposed concrete medium was constringent material.

根据弹体动力学基本方程和假定混凝土为可压缩材料，基于弹靶接触表面处靶体材料的法向膨胀性，对跳弹现象进行理论分析，在合理假设的前提下，建立了跳弹现象的数学模型； 2）针对该模型编制计算机程序，在给定初始入射速度、入射角后可以判断出能否产生跳弹现象，输出产生跳弹现象时所对应的初始侵彻条件，并通过穷举法得出跳弹临界相图，对于斜侵入情况，能计算出弹体在不同侵彻阶段下的运行时间并能绘制出侵彻轨迹，结合现有的试验数据，进行对比分析，二者符合良好，证实了理论分析模型的合理性； 3）开展了跳弹现象的数值模拟研究。

In this paper, taking one 1900t/h supercritical pressure once—through boiler installed in East boiler company as subject investigated, analyzing the structure and characteristic of unit, from the mechanism of units, based on the law of quality conservation, energy conservation and momentum conservation, having Lagrange fluid particle tracing idea in hydrodynamics field application in analyzing of unit operational characteristic, author build up the nonlinear distributed parameter general dynamic mathematical model of single-phase heating surface or diphase heating surface in the steam-water system for supercritical pressure once—through boiler, which is suitable numerical calculation and simulation for large scale disturbance and full working conditions change, and enough materializing distributed characteristic of thermodynamic parameter in process and time lag characteristic of energy transportation in tache. The transient responses curve of the system main variables under several disturbance are computed by Computer Simulation for the model, and theoretical analysis shows that the simulation results are reasonable.

本文以东方锅炉集团公司的一台1900 t /h超临界压力直流锅炉为研究对象，在分析机组结构和特性的基础上，从机组的工作机理出发，以质量、能量、动量守恒定律为依据，将流体力学领域中的Lagrange流体质点追踪思想用于机组运行特性的分析上，建立了适用于超临界压力直流锅炉汽水系统单相、双相受热面的非线性分布参数通用动态数学模型，该模型适合于大扰动全工况变化的数值仿真计算，充分体现了过程热力参数的分布特性和环节中能量输送过程的时滞特性，并对模型通过计算机仿真得出各种扰动下系统主要变量的响应曲线，从理论上分析了仿真结果的合理性。

This thesis investigates the profile extraction and shape optimization on the result of topology optimization of planar compliant mechanisms. The main context includes the following work:(1) summarizing and analyzing the recent research status, some harvest and unsolved problems;(2) analyzing the conceptual design of planar path-generating compliant mechanisms and its mathematical model and tools;(3) Modifying the method of density contour as the method of profile extraction, and developing a method to optimize the density function in the profile extraction according to the requirement of the design of compliant mechanism;(4) developing a method to abstract the compliant mechanism into a form of links and joints by using the principle of connectivity on topology;(5) developing a method of shape optimization of planar path-generating compliant mechanisms, by representing the profile of the abstracted compliant mechanism as simple curves such as straight lines and arcs, establishing the models of the size optimization of the parameters of these curves, so that the compliant mechanism has a machinable shape;(6) At last, proving the feasibleness and effectiveness of the design method by making simulation design and validating it in FEA software.

主要工作包括：(1)分析了柔顺机构拓扑优化和形状优化的研究现状，分析了目前柔顺机构的研究重点、主要成果和尚未解决的问题；(2)分析了基于SIMP的柔顺机构概念设计方法及其相关工具和模型；(3)针对柔顺机构轮廓提取的特殊要求，提出了密度等值线法的改进方案，对密度函数插值点密度值进行优化，提出优化模型和选择优化算法；(4)根据轨迹输出平面全柔顺机构自身的形状特点，提出了轨迹输出平面全柔顺机构的抽象方法，即应用拓扑学上的连通性原理将柔顺机构抽象成杆件和结点形式，并对相应的数学原理进行了证明；(5)提出了平面全柔顺机构的形状还原和尺寸优化方法，对抽象的柔顺机构进行还原，将其轮廓还原成简单曲线的连接，从而建立尺寸优化模型，对机构进行尺寸优化设计，在得到可加工的机构轮廓的同时又能对关键部位进行特别处理；(6)进行了柔顺机构的数值仿真设计，并将所得设计结果导入商用有限元软件中进行仿真实验，证明了设计方法的可行性和有效性。

In this paper, arrangement scheme of a novel multi-star phase shifted pole changing coil was given and the methods to determine coil split ratio were analyzed. According to electromagnetic theory, 2D electromagnetic mathematical model in which stator windings were spitted coil was developed, and magnetic field distribution of the novel motor at starting was solved by finite element method, starting performance of motor was calculated. Based on energy method, rotor slot leakage reactance under different poles and different loads were calculated, and the variation of rotor slot leakage reactance with loads was gotten. Based on time-step finite element method, distribution of branch current in stator windings and operating performance were calculated and analyzed when branch was unbalance, the method to calculate circulating loss in stator windings of novel multi-star phase shifted pole changing motor was given, and the effects of the loads variation and degree of unequilibrium on circulating loss in stator windings were calculated and analyzed.

论文系统的给出了采用分裂线圈法新型多星形移相变极绕组的排列方案，进一步分析线圈分裂比的确定方法；根据电磁场理论，建立了定子为分裂线圈绕组的电机二维电磁场数学模型，并采用场路耦合法求解了新型多星形移相变极电机起动时的磁场分布，计算了电机起动性能和基于能量法计算了不同极数下起动时转子槽漏抗和不同负载时转子槽漏抗，得出转子槽漏抗随负载变化的规律；采用时步有限元法计算分析了定子绕组支路不平衡时支路电流的分布情况及运行性能，给出了新型多星形移相变极电机定子绕组环流损耗的计算方法，分析比较了负载的变化和支路不平衡度大小对定子绕组环流损耗的影响。

After verification of the program, the mathematical models of the suspension bridges were studied by means of the program, as well as the determination of the main cable's shapes and its internal forces at different stages, the calculation of the cable's unstrained length and the analysis of the construction processes, of which some new approaches were presented in the mean time. Thus makes the structural analysis results of suspension bridges more reliable and in accordance with reality.

在用算例验证了程序分析结果正确性的基础上，应用该程序对悬索桥的数学模型、各阶段缆索几何形状及内力状态的确定以及缆索无应力长度的计算和施工过程分析进行了研究，提出了确定缆索在成桥状态下的几何形状及其内力状态以及缆索无应力长度计算的新方法，使悬索桥的结构分析结果更加符合实际情况。

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。