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By using ideologies of logistic planning and methods of linear programming, the mathematic model of logistics distribution is established to study rock dumping scheme optimization for hypaethral mines with three-dimensional block structure.

以矿山的三维块状模型为基础，将物流规划思想和线性规划方法相结合，建立物流运输线性规划数学模型，研究露天矿山的排岩优化问题，得出在最小运输功下开采境界内所有岩块去往各排岩场的流向和流量。

Incurrent research, aiming at the rupture problem engendered in the shooting process of acertain 5.56mm automatic rifle, the strain and stress distributions on the cartridge caseunder the action of axial pull have been analyzed. Based on the theories of elastic-plasticmechanics and contact mechanics, a mathematic and physical model of the cartridge-caseand chamber system has been set up; and based on the platform of the general softwarepackage APDL of ANSYS for finite element analysis, a parameterized model of thecartridge-case and chamber system has also been established. The method for nonlinearFEA has been adopted to analyze the stress distribution on the entire cartridge-case andchamber system, and the method of contact element has been employed to investigate thecontact stress between the cartridge case and chamber, and then the influences of frictioncoefficient and locking space on the static and dynamic stress and strain response of thecartridge case and chamber to the action of power gas have also been discussed. On thebasis of a lot of numerical tests, a kind of element Plane13, which is concentrated incoupled computation of heat and construction, has been used finally to simulate thetransient response of the cartridge-case and chamber system to the power gas. Throughloading the temporary thermal characteristics of explosive gas in the procedure of emulate, the corresponding transient thermal stress distributed on the entire system under thecombined load of transient thermal stress and transient pressure has been obtained. Owingto these comprehensive considerations, the numerical results obtained in this paperrepresent the actual situations comparatively exactly.

本文针对某5.56mm自动步枪在工作中出现断壳的问题，分析了弹壳在轴向拉力作用下的应力应变；基于弹塑性力学及接触理论，建立了弹壳弹膛系统的数学、物理学模型，在通用有限元ANSYS软件的参数化建模工具APDL平台上，建立了弹壳弹膛系统的参数化模型；采用非线性有限元法计算了弹壳弹膛系统的整体应力，引入接触单元法分析弹壳和弹膛的接触压力，探讨了在不同的摩擦系数和不同的闭锁间隙对弹壳弹膛静、动态响应的影响；本文进行了大量的尝试，最后确定采用热、结构耦合单元Plane13，在计算中加载了火药气体的温度历程，成功的获得了弹壳弹膛系统在瞬态的热载荷和瞬态的压力载荷同时作用下弹壳弹膛系统的热应力数值解，考虑因素全面，比较真实的反映了弹壳弹膛系统在火药气体压力和热载荷下作用的情况。

Establish its mathematic model, and carry on correlative calculation, to confirm that the accuracy of firing data by mortar-howitzer cannon can work effectively under indemnificatory conditions of fire control system.

建立迫榴炮火控系统决定诸元精度的数学模型，并进行相应计算，由此确定在火控系统保障条件下，某型迫榴炮精密法决定诸元精度可以进行效力射。

At the early 1980s, is an effective mathematic tool to deal with the uncertain or fuzzy knowledge. Rough rule theory has been widely used in information retrieval, digital library, software engineering and knowledge discovery. Its main idea includes acquisition of rough decision rules by reduction of data under the condition of keeping an invariability of classification capacity. And it basically represents a concept by a pair of approximation sets according to the partition on the given data based on the indiscernibility relation. Rough sets theory is well suited to deal with inconsistency of the rough approximations. So it is a new mathematical tool dealing with vagueness and uncertainty, and has found its applications in many areas such as AI, KDD, pattern recognition and classification and fault diagnosis.

主要完成了以下几个方面的工作：(1)对于高速移动机器人车道线跟踪问题中的规则知识获取，首先阐述了模糊逻辑系统的基本特点、工作原理和基本作法，分析了模糊规则知识获取过于依赖专家经验知识、对于每一个细节几乎都需要人工主观经验的参与、难以处理大数据集样本等方面的不足，进而阐述了粗糙集合理论的基本特点、基于粗糙集合理论的规则获取的关键技术和工作原理，为后续章节中经典粗糙集合模型的扩展及粗糙决策规则集的性能分析做好基础；(2)在经典粗糙集理论及其一般扩展的可变精度粗糙集VPRS的基础上，提出了非均匀可变精度粗糙集模型k-VPRS。

First, the mathematic models of equidistant and inequidistant difference schemes are founded. Then, the range of influence, criteria and process of damage location detection are obtained. The index is also used to detect concrete damage with microcrack, namely without macrocrack.

建立了基于等间距、不等间距差分格式的损伤应变模态差分数学模型及其损伤位置直接指标法，提出了损伤位置判定准则、判定步骤及损伤影响区确定方法。

Operations are given and testified in this paper. The research methods of intrinsical linear nonholonomic dynamics are similar to those of holonomic dynamics.The rationality and equivalence of Chetaev model and Vacco model in the intrinsical linear nonholonomic system are testified from the mathematic and mechanical aspects. The essential reason is the nonlinear property of intrinsical nonlinear nonholonomic constrain that bring on Chetaev model and Vacco model inequivalent. Chetaev model is a linear approximate method in intrinsical nonlinear nonholonomic system. Vacco dynamical equations are not satisfied to the ideal constraint force conditions, but it gives a significative ponderation on the realizations of intrinsical nonlinear nonholonomic constrain.

本文比较研究了一般非完整系统的Chetaev模型和Vacco模型，首次从力学和数学的角度论证了这两种模型在完整系统和本质线性非完整系统中的合理性和等价性；同时给出了在本质非线性非完整系统中，Chetaev模型和Vacco模型不等价的根本原因，是由本质非线性非完整约束的不确定性非线性本质所导致的；指出在本质非线性非完整系统中，Chetaev模型是一种线性近似的结果，Vacco动力学方程虽然不满足约束力的理想性质，但是为我们研究本质非线性非完整约束的物理实现提供了有益的思考。

Some interferent effects of calcium determination by atomic absorption spectrometry has been eliminated by a computational method and described in terms of a general mathematic model.

本文研究了火焰原子吸收法测定钙时某些化学干扰的计算消除方法，提出了一个普遍性的数学模型。

It researches on the approach to achieve continuous connections of container multimodal transport logistics system. Based on the idea of continuous connections the paper discusses the container transport choosing route problem. It combines the appropriate adimensionalize method in the appraisement method and mathematic model and resolves the problem that the unit of time and cost disunite and sets up the time-cost transportation route optimizing model which is an innovation on the basis of previous studies and gives an example to validate the model using the LINDO software.

在&无缝衔接&的思想下研究集装箱运输路径选择问题，在前人的研究上进行了创新，将评价方法中的合适的无量纲化方法与数学模型结合，解决了时间和成本单位不统一的问题，建立了时间—成本运输径路优化模型，并举例验证应用LINDO软件进行求解，说明了此模型的正确性。

The mathematic relationship between coking coal's characters and coke reactivity index and coke strength after reaction was studied.Main effect factors were analyzed by dynamics model formed by metaplast and mesophase.Taking metamorphic degree of coal, coal maceral, caking property, ash and the content of K_2O and CaO as independent variable, forecasting model was set up by the coking tests with 25 kinds of coals used in the industries.It concludes that exinite in coal makes CRI increase and CSR...

以研究炼焦煤性质与焦炭反应性、反应后强度之间的数学关系为目的，通过胶质体和中间相形成动力学解析导出模型的主要影响因子，以煤的变质程度、煤岩组成、粘结性、灰分及K2O和CaO含量等因素为自变量，由25种工业用煤的炼焦试验，建立出预测模型，并得出壳质组使反应性增大及反应后强度降低；K2O催化作用强于CaO，且两者的催化作用均随煤的变质程度不同而不同等重要结论。

In the purpose of system can adapt to all kinds of geography condition, mathematic model of microseismic signal generated by a target moving on the ground has been made at the end of this article. The model has been used to emulating stress signal of different target to ground, Rayleigh wave in different terrain. This is an effective means to obtain and considerate microseismic signals of moving target in various terrain.

为了系统适应不同地域环境，文中最后对目标运动引起的地震动信号进行了理论建模和仿真，建立的数学模型可以对不同目标对地面的激励函数、不同地形地质条件的地震波进行模拟仿真，这为获取不同地域环境的目标运动引起的地震动信号提供了一种有效的方法。

Chinese traditional virtue is humility and wariness,the compliment and praise to the others should be declination

中国人的传统美德是谦虚谨慎，对别人的恭维和夸奖应是推辞。如

We bought this house on the never-never.

我们以分期付款的方式买下这座房子。