数学分析

The main factors affecting the soil-structure interface behaviors were found experimentally and theoretically, including: 1 the thickness of the interface that is five to six times the average grain size of the soil; 2 the aeolotropy of interface, which is responsible for anisotropic response of the stress-strain response of the interface; 3 two physical states, including crashing and compression of the soil near the structure surface, which govern the stress-strain response of the interface strongly; 4 two shear deformation components due to sliding and constraint of the structure surface relative to the soil respectively, which forms the deformation of the interface; 5 the volumetric strain due to dilatancy, which is found to be composed of a reversible dilatancy component and an irreversible dilatancy component. 4. A unified constitutive model of the interface, based on new elasto-plasticity damage theory, was developed. It was confirmed to be effective for the conditions considering monotonic and cyclic shearing, coupling effect of shear and volumetric strains, evolution of physical state, micro-structure aeolotropy of the soil and the resulting aeolotropy of the interface as well as the three normal boundary conditions stated above. 5. 2D and 3D finite element formulations of the present model were derived and incorporated into the FEM codes. They were applied to the evaluation of practical engineering problems with different typical interfaces between soil and structure. The new model was shown to be reasonable and effective.

确定了粗粒土与结构接触面厚度约为5～6倍的平均粒径，首次揭示了接触面的细观结构异向性以及由此所引起的宏观剪切异向性，发现了在单调和往返剪切荷载作用下土颗粒破碎和剪切压密两种物态变化机制共同支配着接触面力学性质的变化，通过细观分析证实了接触面的变形可分解为一般同时发生的土与结构交界面上的滑移变形以及结构面位移约束范围之内土体本身的剪切变形两部分，观测到接触面受剪时表现出明显的相对法向位移，并可分解为可逆性和不可逆性两个分量；(4)建立了第一个能够统一地描述单调与往返剪切特性、剪应变与体应变耦合特性、细观结构和宏观剪切异向性以及土颗粒破碎等物态变化特性的土与结构接触面弹塑性损伤本构数学模型，并采用多种法向边界条件复杂加载路径的试验成果验证了新模型的合理性和有效性；(5)提出了新模型的二、三维有限元格式并结合实际边值问题进行了应用计算分析，比较了不同接触面本构模型对计算结果的影响，证实了新模型及其有限元格式不仅能够合理地描述土与结构接触面的主要力学特性，还能够较好地反映土体与结构物在接触面处的滑移、脱开等不连续现象。

As the analysis and measurement of yarn evenness occupies special importance to the quality controlling of many textile products, three main problems on the topic, which are: the mathematical modelling of the ideal slivers and yarns, the digital algorithms for measuring variance-length curves, spectrograms and imperfections, and the system design of the yarn evenness tester of a digital type, are studied in the dissertation mainly from the viewpoint of the subject of signal processing with the applications of the theory of stochastic processes and the technique of wavelet analyses.

纱线条干均匀度的分析和测量对纺织品质量的控制和提高具有重要的意义。本论文从信号处理的角度出发，应用随机过程理论和小波分析方法，着重研究了条干均匀度分析和测量中的二个主要问题，即理想纱条的数学建模问题和变异曲线、波谱图及疵点的数字测量问题，并进行了数字型条干均匀度测试仪的设计和研制工作。

This paper analyses and proves that the restoring saturation coefficient α of one dimension extra saturation sediment discharge method and the modified coefficient K of the quasi hydrostatic settlement method are reciprocals each other.

分析论证了一维超饱和输沙法恢复饱和系数α与准静水沉降法修正系数K互为倒数；在分析影响α值变化因素的基础上，建立了计算恢复饱和系数α的数学模型；经过误差分析验证，模型的精度、可靠度均满足设计要求，可供生产设计单位使

This text with system research for premise, pass analysis domestic and international related city development of success experience, with more analysis and point sampling etc. statistics method for foundation, and usage of game theory, lord composition analysis, artificial intelligence nerve dollar network, Logistic square distance etc. mathematics tool, rightness post industrialization under the mode of the mineral resource city predominance industry choice carry on research.

本文以系统研究为前提，通过分析国内外相关矿业资源城市的成功经验，以比较分析和重点抽样等统计方法为基础，运用博弈论、主成分分析、逻辑模糊神经元网络、Logistic方程等数学工具，研究后工业化时期矿业资源城市主导产业选择问题。

To research on quantitative relations between neutral aroma constituents and concentration and quality of aroma of flue-cured tobacco in Panxi tobacco-growing areas, and to offer a new and impersonality method of flue-cured tobacco quality assessment, the authors carried out partial correlation analysis, path analysis and stepwise regression analysis, and established mathematics model and studied the factors of neutral aroma constituents affecting concentration and quality of aroma of flue-cured tobacco in this paper.

为了探究攀西烤烟烟叶中性致香成分与香气质和香气量的定量关系，并为客观准确评价烟叶质量提供新方法，该文采用偏相关分析、通径分析和逐步回归的分析方法，建立数学模型，研究了影响烤烟香气质量的中性致香成分。

How to build proper arithmetic models of the market. The target of a BASS is to find out the way that how to attract the customers, design different type of service suite which target different group of people and help the CEOs to make the max goals.

经营分析主题的选择与数学建模经营分析系统的存在意义是找到如何吸引用户的方法，通过细化分析用户的消费行为，制定出针对性的服务套餐和商业企划，以达到最大限度吸引客户，为企业创造最大的效益。

To achieve high-performance PMSM position servo system, advanced control scheme, which is static precision, transient responses and self-adaptation and anti-disturbances, is needed in practice. Based on the analysis on the features and control principles of PMSM, this thesis established its math model using id=0 vector control method. Three close loops control system, which includes current loop, velocity loop and position loop, was built up. For position loop, the main feedback loop, we chose a new adapted-fuzzy CMAC intelligent controller, which includes self-learn ability of neural net and quick response merit of fuzzy controller. Finally, the author simulates PMSM position servo system by the simulink of matlab, an advanced computer simulation tool.

本文对PMSM的控制机理和特性作了较为深入的分析；建立了PMSM的数学模型，并采用了id=0的矢量控制策略；对控制系统组成及控制方式作了分析和比较，在此基础上建立了电流环、速度环和位置环的三闭环控制系统，对作为反馈主回路的位置环采用了模糊CMAC神经网络控制方法，该方法兼具模糊控制器的快速性和神经网络的自学习能力；构建了针对PMSM位置伺服系统的模糊CMAC控制器结构及其相应的算法；利用先进的计算机仿真工具（Matlab下的Simulink）对所提出的控制策略进行了数字仿真和分析；仿真和实验结果表明本文所提出的控制策略对PMSM位置伺服系统进行控制具有良好的鲁棒性能和快速性。

The conclusion that dissolved gases in gas composition and content of transformer could embody the inside of the transformer"s situation about "the insulation fault effectively is concluded.In the research of power equipment fault diagnosis based dissolved gases in transformer oil, the fault type increase clearly with the fault development. Traditional way is inability to faults diagnose of electrical equipment such as transformer that the fault reason, phenomenon and principle are indeterminacy etc.

在以油中溶解气体分析电气设备故障的模式识别研究中，当故障进一步发展，待判别的类型将显著增加，由于传统的诊断方法缺乏对样本数据的科学分析，不能够真实体现特征量数据的规律，将不可避免的面临准确率下降的问题，且不可能提供类间相互关系或演变过程的信息，因此用新的诊断方法来解决此类问题十分必要；本文在对目前变压器内部绝缘故障常用诊断方法总结分析的基础上，利用模糊数学的思想，提出以油中溶解气体为特征量，采用模糊聚类的方法对变压器内部绝缘故障进行诊断。

This paper analyses and proves that the restoring saturation coefficient α of one dimension extra-saturation sediment discharge method and the modified coefficient K of the quasi-hydrostatic settlement method are reciprocals each other.

分析论证了一维超饱和输沙法恢复饱和系数α与准静水沉降法修正系数K互为倒数；在分析影响α值变化主要因素的基础上，建立了计算恢复饱和系数α的数学模型；通过误差验证分析和经过几年生产设计部门的使用情况证明，模型的研究思路正确，精度、可靠度均满足设计要求，可供生产设计单位使用。

This paper analyses and proves that the restoring saturation coefficient a of one dimension extra-saturation sediment discharge method and the modified coefficient K of the quasi-hydrostatic settlement method are reciprocals each other.

分析论证了一维超饱和输沙法恢复饱和系数 a与准静水沉降法修正系数K互为倒数；在分析影响a值变化主要因素的基础上，建立了计算恢复饱和系数 a的数学模型；通过误差验证分析和经过几年生产设计部门的使用情况证明，模型的研究思路正确，精度、可靠度均满足设计要求，可供生产设计单位使用。

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。