数学分析

The following points are emphasized:The operation models of adiabatic and diabatic distillation have been set up and the operation block, thermodynamics model and mathematical model in the simulation have been determined as well;(2)Based on the simulation and exergy analysis with Aspen Plus program, shortcut distillation design—DSTWU model and rigorous distillation design—RADFRAC model, the author has determined the heat duty, exergy losses and the distribution of exergy losses along the adiabatic column, which will help the simulation and optimization of the diabatic distillation;(3)Diabatic distillation under various operation conditions has been simulated by using energy balance method and exergy analysis;(4)How the different mixture and the various degree of separation, number of trays and feed location influence exergy saving in diabatic distillation have also been discussed;(5)On the basis of the total exergy losses along the column, different schema of the heat transfer distribution along the column have been compared and analyzed;they can be classified in three categories: heat duty equipartition approach, empirical approach, separation degree matching approach. In conclusion, different heat transfer distribution along the column will have effect on total exergy losses. In particular, most satisfactory results have been obtained by using separation degree matching approach. In order to diminish the exergy losses, heat transfer distribution should meet the needs of the request of separation degree.And on this premise, the author makes his suggestion in increasing the proportion of heat supplied to the tray with minimum exergy losses and decreasing the proportion of heat supplied to the tray with the maximum exergy losses.

本文对透热精馏过程进行了模拟并对其节能效果的影响因素做了较为全面的分析和深入的研究，主要研究内容如下：(1)建立了常规精馏和透热精馏过程的模拟操作模块、热力学模型以及数学模型；(2)利用化工模拟软件Aspen Plus并分别采用DSTWU简捷模型和RADFRAC严格计算模型对常规精馏进行模拟计算和有效能分析，确定常规精馏塔的公用工程热负荷、有效能损失及有效能损失在塔内的分布，为透热精馏的模拟和优化提供数据参考；(3)对不同物系在不同分离度条件下进行透热精馏的模拟，分别采用能量衡算法和有效能分析法进行计算和分析；(4)探讨了各种因素如物系的选择、不同分离度、塔板数、进料位置对透热精馏节能效果的影响；(5)以全塔总有效能损失为比较基准，对热量在塔内的三种分布方案即热负荷平均分配法、经验法和分离度匹配法进行了对比分析并得出结论：塔内热量的不同分布方案对于全塔总有效能损失会产生影响，其中以分离度匹配法的节能效果最为理想，为减少有效能的损失，应使塔内的热量分布满足各塔板的分离度要求，并在此前提下，尽量减小有效能损失大的塔板的热负荷和增加有效能损失小的塔板的热负荷。

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。

Based on consider hereinbefore, this dissertation discusses several aspects on the problem of the sustainable and optimum exploitation of groundwater resources as follows:①reviewed entirely the origin and evolvement of the concept "sustainable development", stated and commented the study status in queue on"sustainable development"around national and international range, thorough discussed the science connotation about the concept "sustainable development";②looked back and commented across-the aboard some furthest basic concept and proposition related to groundwater resources, put forward self opinions on a few existent mistake points of view and chaos understandings;③expatiated entirely on the content and meaning of the theory of changeable groundwater resources system, contrast with the traditional methods of groundwater resources calculation and evaluation, combined example to show the application of this theory;④thorough analyzed the difficult and complexity to forecast the groundwater resources, fully stated the traditional methods of groundwater resources forecasting, pointed out the characteristic and applying condition of these forecasting method, introduced the main ideas and methods of wavelet analysis developed recently, and the MATLAB software be known as the fifths era computer language, and its accessory wavelet analysis toolbox, applied these methods and tools to analyze the groundwater dynamic curve, adopted the B-J method and Morte-Carlo method, combined with the theory of changeable groundwater resources system, discussed the new view on the forecast of groundwater resources;⑤synthetically analyzed the characteristics and limitations of the present all kind of groundwater manage model, combined mathematical programming, mathematical statistics, random process and the theory of variation system of groundwater resources on the unite optimum attempter of surface water and groundwater, emphasized how to make the model more nicety, more simple, more practicality;⑥analyzed the inside condition and outside condition to assure the sustainable and optimum exploitation of groundwater resources, the inside conditions are the follows: correct resources idea, scientific methods of resources calculation and evaluation, credible forecast methods of resources, exercisable measures of resources management, the outside conditions are the follows: the development idea of high layer, the transform of manage system, the matched policy and rule of law, the adjusted of economy lever, the improve of cultural diathesis, the boosting up of water-saving consciousness and detail measures, the control of population rising, the prevention and cure of water pollute, the renew and rebuild of ecology;⑦scan the sustainable and optimum exploitation of groundwater resources from the high level of metagalaxy, earth system science, and philosophy;⑧point out the more directions on groundwater resources.

它将为制定水资源的可持续发展目标和战略决策提供科学依据，为制定社会、经济可持续发展战略提供理论基础。基于以上考虑，论文主要从以下几方面对地下水资源可持续开发问题进行了比较深入的探讨：①全面回顾了"可持续发展"概念的由来与演变，对国内外"可持续发展"的研究现状进行了述评，并对"可持续发展"概念的科学内涵进行了深入探讨；②对涉及地下水资源的一些最基本的概念和命题进行了全面的回顾和评述，对目前仍然存在的一些错误观点和混乱认识提出了自己的见解；③全面阐述了地下水资源变值系统理论的内容和意义，并与传统的地下水资源计算评价方法进行了对比分析，结合实例具体说明了方法的应用；④深入分析了地下水资源预测预报工作的极端重要性和复杂性，对传统的地下水资源动态预测方法进行了全面的评述，指出了各类预测预报方法的特点及适用条件，对最近二十多年刚发展起来的小波分析技术的主要思想和方法及其应用范围，以及号称第五代计算机语言的MATLAB软件和附带的小波分析工具箱进行了介绍，并应用于地下水动态过程线的分析，采用时间序列中的B-J法，蒙特卡罗方法，与地下水资源变值系统理论相结合，探讨了地下水动态资料分析和地下水资源预测预报的新思路；⑤综合分析了现今各类地下水管理模型的特点及缺陷，将数学规划、数理统计、随机过程等与地下水变值系统理论相结合进行地表水地下水或多水源的联合优化调度，使模型更准确、更实用；⑥对保证地下水资源可持续开发的内部条件和外部条件进行了分析，内部条件主要是正确的资源观，科学的资源计算与评价方法，可靠的资源预测预报技术，可操作的资源管理措施，外部条件主要是高层发展思路、管理体制的变革、配套的政策法规、经济杠杆的调节、人文素质的提高、节水意识的增强及具体节水措施、人口增长的控制、水体污染的防治、生态的恢复和重建等；⑦从宇宙科学、地球系统科学及哲学的高度审视地下水资源的可持续开发；⑧指出了地下水资源可持续开发的进一步研究方向。

Existing literature on the inquiry,collation and analysis,this article had the following major tasks:1st,finite element simulation of the current analytical methods are summarized,and system introduction finite element software ADINA and ANSYS applied in the reinforced concrete built-up section.2nd,system introduction reinforced concrete component material performance as well as reinforced concrete nonlinear analysis main mathematical model. 3rd,the use of ANSYS and ADINA software simply supported beam simulation were compared.4th,uses the ANSYS analysis software,conducted 7 radical center bearing reinforcing steel-side steel pipe concrete short stump simulation test research,the research had indicated the reinforcing steel the existence strengthened the pillar ductility greatly.5th,based on ANSYS,has conducted 2 radical center bearing reinforcing steel-side steel pipe concrete member in bending simulation test research.

通过对现有文献的查询、整理及分析，本文进行了以下主要工作：1、对目前有限元模拟分析方法进行了总结，并系统的介绍了有限元软件ADINA和ANSYS在钢筋混凝土组合结构中应用。2、系统的介绍了钢筋混凝土构件的材料性能以及钢筋混凝土非线性分析的主要数学模型。3、利用ANSYS和ADINA软件对简支梁进行了对比模拟分析。4、利用ANSYS分析软件，进行了7根轴心受压钢骨-方钢管混凝土短柱的模拟试验研究，研究表明钢骨的存在大大加强了柱子的延性。5、利用ANSYS分析软件，进行了2根轴心受压钢骨-方钢管混凝土受弯构件的模拟试验研究。

Based on consider hereinbefore, this dissertation discusses several aspects on the problem of the sustainable and optimum exploitation of groundwater resources as follows:①reviewed entirely the origin and evolvement of the concept "sustainable development", stated and commented the study status in queue on"sustainable development"around national and international range, thorough discussed the science connotation about the concept "sustainable development";②looked back and commented across-the aboard some furthest basic concept and proposition related to groundwater resources, put forward self opinions on a few existent mistake points of view and chaos understandings;③expatiated entirely on the content and meaning of the theory of changeable groundwater resources system, contrast with the traditional methods of groundwater resources calculation and evaluation, combined example to show the application of this theory;④thorough analyzed the difficult and complexity to forecast the groundwater resources, fully stated the traditional methods of groundwater resources forecasting, pointed out the characteristic and applying condition of these forecasting method, introduced the main ideas and methods of wavelet analysis developed recently, and the MATLAB software be known as the fifths era computer language, and its accessory wavelet analysis toolbox, applied these methods and tools to analyze the groundwater dynamic curve, adopted the B-J method and Morte-Carlo method, combined with the theory of changeable groundwater resources system, discussed the new view on the forecast of groundwater resources;⑤synthetically analyzed the characteristics and limitations of the present all kind of groundwater manage model, combined mathematical programming, mathematical statistics, random process and the theory of variation system of groundwater resources on the unite optimum attempter of surface water and groundwater, emphasized how to make the model more nicety, more simple, more practicality;⑥analyzed the inside condition and outside condition to assure the sustainable and optimum exploitation of groundwater resources, the inside conditions are the follows: correct resources idea, scientific methods of resources calculation and evaluation, credible forecast methods of resources, exercisable measures of resources management, the outside conditions are the follows: the development idea of high layer, the transform of manage system, the matched policy and rule of law, the adjusted of economy lever, the improve of cultural diathesis, the boosting up of water-saving consciousness and detail measures, the control of population rising, the prevention and cure of water pollute, the renew and rebuild of ecology;⑦scan the sustainable and optimum exploitation of groundwater resources from the high level of metagalaxy, earth system science, and philosophy;⑧point out the more directions on groundwater resources.

它将为制定水资源的可持续发展目标和战略决策提供科学依据，为制定社会、经济可持续发展战略提供理论基础。基于以上考虑，论文主要从以下几方面对地下水资源可持续开发问题进行了比较深入的探讨：①全面回顾了&可持续发展&概念的由来与演变，对国内外&可持续发展&的研究现状进行了述评，并对&可持续发展&概念的科学内涵进行了深入探讨；②对涉及地下水资源的一些最基本的概念和命题进行了全面的回顾和评述，对目前仍然存在的一些错误观点和混乱认识提出了自己的见解；③全面阐述了地下水资源变值系统理论的内容和意义，并与传统的地下水资源计算评价方法进行了对比分析，结合实例具体说明了方法的应用；④深入分析了地下水资源预测预报工作的极端重要性和复杂性，对传统的地下水资源动态预测方法进行了全面的评述，指出了各类预测预报方法的特点及适用条件，对最近二十多年刚发展起来的小波分析技术的主要思想和方法及其应用范围，以及号称第五代计算机语言的MATLAB软件和附带的小波分析工具箱进行了介绍，并应用于地下水动态过程线的分析，采用时间序列中的B-J法，蒙特卡罗方法，与地下水资源变值系统理论相结合，探讨了地下水动态资料分析和地下水资源预测预报的新思路；⑤综合分析了现今各类地下水管理模型的特点及缺陷，将数学规划、数理统计、随机过程等与地下水变值系统理论相结合进行地表水地下水或多水源的联合优化调度，使模型更准确、更实用；⑥对保证地下水资源可持续开发的内部条件和外部条件进行了分析，内部条件主要是正确的资源观，科学的资源计算与评价方法，可靠的资源预测预报技术，可操作的资源管理措施，外部条件主要是高层发展思路、管理体制的变革、配套的政策法规、经济杠杆的调节、人文素质的提高、节水意识的增强及具体节水措施、人口增长的控制、水体污染的防治、生态的恢复和重建等；⑦从宇宙科学、地球系统科学及哲学的高度审视地下水资源的可持续开发；⑧指出了地下水资源可持续开发的进一步研究方向。

According to the research object and core, the competitory power of bio-industry, this thesis was unfolded from four aspects: Firstly, we put forward the competitory power of bio-industry theory, its concepts and categories, analytical frame and theories structure from analyzing its influence and determinant system; Secondly, appraisal models, based on deciding factors, composing factors and realizing factors, were respectively established, by using related mathematics method, cooperate theories, management and economics theories; Thirdly, according to the research on life cycle of bio-industry, we analyzed the characteristics and countermeasures of its competitory power changing at different stages; Fourthly, we focused on the core carrier of the bio-industry andits competitory power--the bio-industry cluster (life science industry park and biologicvalley), the bio-industry cluster theories and the park-area competitive factors and the capital market and the financing competition which are important drive factors of the competitory power of bio-industry. Firthly, making use of the evaluation model of bioindustrial competition ability, we carry on bioindustrial competition ability comparison of the United States and Chinas, and evaluate a substantial evidence.

针对本论文的研究对象和研究核心——生物产业竞争力，从五个方面展开研究：一是构建生物产业竞争力理论，提出和界定生物产业竞争力的概念和范畴，从影响和决定因素系统分析入手，研究生物产业竞争力的分析框架和理论结构；二是创建生物产业竞争力分析评价指标体系与模型，运用相关数学方法、协同理论、经济学和管理学理论，以生物产业竞争力的决定因素、构成要素和实现要素为依据，分别建立分析评价模型；三是研究生物产业竞争力生命周期，针对生物产业发展的不同阶段和特点，分析生物产业竞争力变化特点和应对策略；四是研究生物产业及其竞争力的核心载体——生物产业集群(生命科学产业园、生物谷)，研究生物产业集群理论和园区竞争要素，对生物产业竞争力的重要驱动因素——生物产业资本市场和融资竞争，进行分析探讨，并提出生物产业竞争的战略路径。

It introduces a kind of novel loading test system, based on the operation principle of damper. this loading system is operated by the driving motor. it realizes the loading, in that the damper has a negative drive force that puts on the motor. Based on the ordinary electromagnetic damper, the thesis presents a novel hybrid excitation electromagnetic damper which has adjustable work characteristic, analyses the working principle and structural feature of the electromagnetic damper, deduces the formulas to calculate the eddy current density through the Electromagnetic theory, analyses the distribution of the eddy current in the cotyloid rotor, and also studies the method of calculating the damp torque, establishes the mathematical model of the electromagnetic damper, analyses the relationship between the electromagnetic damper structural parameter and damp torque, researches the engineering design and analysis method of the electromagnetic damper, provides theory foundation for the design and analysis of the electromagnetic damper, contrives a hybrid excitation electromagnetic damper that satisfies the target request, designs a set of compound excitation electromagnetic damping loading control system whose control core is AT89C51 monolithic integrated circuit, analyses the electric circuit part, and carries on the experimental test to this set of electric circuits. Finally it debugs this electromagnetic damping loading system, this system satisfies the target request proposed.

论文提出了一个全新的加载测试系统种类，该加载系统是在阻尼器工作原理基础上，利用电动机拖动阻尼器运转，从而阻尼器产生一个与运动方向相反的阻尼力矩，该力矩作用在电动机上实现对电动机加载测试；同时，论文在一般电磁阻尼器基础上提出了一种新型的可调式复合励磁电磁阻尼器结构，该种阻尼器的工作特性在一定范围内可进行调节；论文分析了电磁阻尼器的工作原理和结构特点，运用电磁场理论分析推导了电磁阻尼器的涡电流密度公式，分析了涡电流在转子杯内的分布图，并对阻尼力矩计算方法进行了研究，建立了电磁阻尼器的数学模型，分析了电磁阻尼器结构参数和阻尼力矩之间的关系，对电磁阻尼器的设计和分析方法进行了研究，为电磁阻尼器的工程设计建立了理论基础；设计了满足技术指标要求的复合励磁电磁阻尼器和一套以AT89C51单片机为控制核心的复合励磁电磁阻尼加载控制系统，对该控制系统硬件电路各部分进行了分析和设计，对软件进行了设计，并对控制电路进行了试验调试，该系统满足所提出的加载指标要求。

Due to the complexity of the cell jitter, the NonSynchronous Tining Recovery methods are currently not mature With the emphasis being given to the Class A CBR traffic, this paper analyzes the performance of the queueing delay and cell jitter at the source node and intermediate nodes, and discusses the Source Timing Recovery at the destination node in ATM networks Firstly, this paper presents a description of the cell jitter of CBR traffic, and gives the definitions of two kinds of cell jitter regarding the Source Timing Recovery for CBR traffic Then, by using exact mathematical models and analysis methods, this paper analyzes the impact of the factors, such as the capacity of the queueing buffer, the randomness, the deterministic nature and the correlation in cell arrivals of the background traffic sources, on the queueing delay and cell jitter performance of the CBR traffic through Statistical Multiplexitng To obtain an insight into the power spectral distribution and look for better schemes for the depression and filtering of the cell jitter, within the analyses we succeed deriving the power spectrum of the cell jitter for CBR traffic Hence, not only the power spectral distribution of the cell jitter can in the frequency domain be qualitatively understood, but also can the rms (root-meansquare) value of the cell jitter be quantitatively obtained so as to more accurately measure the amplitude of the jitter In the end-to-end performance analysis of the queueing delay and cell jitter, we propose a kind of quasi-periodic cell stream model to characterize the jittered CBR traffic, and present an initial queueing analysis of the CBR traffic following such a model at a generic intermediate node Additionally, we briefly discuss the buildout/playout and Source Timing Recovery functions of the destination node Finally, regarding the Source Timing Recovery of CBR traffic, this paper systematically discusses several important principles of the cell jitter filtering and depression reported in the literature, introduces several implementation schemes of the Source Timing Recovery e.

由于信元抖动的复杂性，非同步定时恢复方法目前还很不成熟。本文针对A类CBR业务流在ATM网络源节点和中间节点的排队时延和信元抖动性能，以及在目的节点的源定时恢复问题作了较为全面的研究。首先，文中描述了CBR业务流的信元抖动，并具体地给出了两种与CBR业务源定时恢复有关的信元抖动的定义。然后，采用了精确的数学模型和分析方法，有针对性地分析了业务背景中信元到达的纯随机性、确定性和相关性以及排队缓存器容量等因素对CBR业务流经过统计复用后的排队时延和信元抖动性能的影响。为了了解信元抖动的功率频谱分布和寻求更好的抑制和滤除抖动的方法，在性能分析中，我们成功地完成了CBR业务流信元抖动的功率谱分析，使得不但可以从频域定性地认识信元抖动的能量分布特性，而且还可以定量地求出信元抖动的均方根值(rms：root-mean-square)，以更为准确地衡量抖动的大小。在CBR业务流的多节点端-端排队时延和信元抖动性能分析中，我们提出了一种准周期性(quasi-periodic)信元流模型来描述感染了信元抖动的CBR业务流，并基于这一模型进行了CBR业务流中间节点的初步排队分析。

In this paper,the correlativity between the Brinell hardness and the Rockwell hardness has been investigated by regression analysis,the regression equation between the Brined hardness and the Rockwell hardness is obtained,therefore the quantitative analysis can be carried out.

本文根据布氏硬度与洛氏硬度之间的相关关系，采用数学回归分析方法，求出它们之间的数学表达式──数学回归直线方程，从而能定量地阐述两者之间的关系

Low level radwaste disposal problems are complex. Many important issue, such as radionuclide migration in the geosphere, must be carefully evaluated before making decision. This project will explore the use of a hydrogeological decision support system for solving these complex problems. The system will integrate hydrogeological analysis tools, geographic information system, mathematical models, stochastic and statistic methods, graphical interface, and decision system. By using the system, it is expected that many different alternatives can be efficiently analyzed and evaluated, and results can be presented much more effective to decision makers, while compared with the conventional presentation. Basing on the prototype system developed in the last two years, this project will integrate more analysis tools and improve the functions of the system.

中文摘要低放射性废料处置所牵涉之问题甚为广泛且复杂，其中又以放射性核种於地下水中迁移所造成之风险性分析最为重要，一般而言，一个水文地质决策支援系统将结合水文地质、地理资讯系统、数学模式、序数及统计、图形介面、优化及决策分析等理论及工具，方能使该系统迅速分析各种不同方案，并以最有效方式将分析结果呈现於决策者；因此，本计画预计延续八十二年至八十三年间，初步完成之整合风险分析模式之决策分析系统刍形，并於其基础上继续整合及发展一些关键技术及工具，以增加系统必备之功能，使其系统更趋完善，达到实用之目的。

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。