几何基础

Based on the analysis of the process of free orthogonal metal cutting, the theory of elastic-plastic distortion and temperature field was discussed. Yield rule, intensify rule, fluxion rule, types of contact and diathermanous model of metal cutting were also analyzed detailedly. The FEA model of stress field and temperature field of free orthogonal metal cutting were established by the fundamental idea of FEA. State nonlinear, material nonlinear and geometry nonlinear thermal-stress coupling were analyzed by FEA technology. The separate criterion of chip and dispose of contact types were research emphatically.

本文在直角自由切削过程分析的基础上，讨论了金属切削过程中的弹塑性变形理论和温度场理论，详细分析了屈服准则、强化准则、流动准则、金属切削传热模型、接触类型等问题，并利用有限元的基本思想，建立了直角自由切削应力场和温度场的有限元模型，进行了状态非线性、材料非线性和几何非线性的热力耦合分析，重点研究了切屑分离标准的确定、表面接触类型的处理等问题。

According the experiential formulas of headbox to design the stepped diffuser headbox's geometry parameters. Supposing Paper suspension flow as potential flow and basing on hydrokinetic and computational fluid dynamics theories, we can solve the elliptoid partial differential equations which are followed by the flow functions and the potential functions by finite element method and simulate the flow's speed distribution with pde toolbox of matlab software. The simulate results and the flow analysis have good precision.

按照流浆箱的经验设计公式，设计阶梯扩散式流浆箱的各组件几何参数，以流体动力学、计算流体力学等理论为基础，假定浆流的流动为势流，采用有限元法求解浆流流动时其流函数和速度势函数所符合的椭圆型偏微分方程，应用matlab软件的偏微分方程工具包pde toolbox，模拟出所设计的流浆箱各组件内的浆流的流场流速分布，模拟结果与数值计算流动分析结果吻合。

In chapter 5, based on nine-parameters, orbit parameters of many satellites are calculated. Then some conclusions are drawn, and parameters used in GPS broadcast ephemerides are evaluated.

第五章以九参数法所得结果为基础，进行了初步分析，得出了一些初步结论，并采用几何图解分析法分析了日、月引力摄动的长周期，还对GPS广播星历采用的参数进行了评估。

Through the simulation and analysis, the thermal characteristics of the medium and the thermal effects of laser beam are obtained. A superior pump cooling structure was selected and designed, and it is to be demonstred in this dissertation. 2 The thermal distortion effects in the slab mediam are experimently studied using auxiliary lens、Shearing Interferometer and Mach-Zehnder interferometer.

建立热效应分析模型，从热效应理论基础出发，就适合板条激光介质泵浦源的两种泵浦安排和三种常见的泵浦几何结构进行详细的理论分析，分析比较激光介质的热特性以及对激光束热效应的影响，最终选择出较优越的泵浦冷却结构，为传导冷却板条激光振荡器的设计提供参考依据。

He later assimilated German expressionistic style, and a geometrical approach, with traditional drawing and Chinese painting techniques.

后来他在写实素描和中国画的基础上，注入德国表现主义以线条为主的手法，以及几何形体结构的素描理念。

This paper addresses the problem of real-time position and orientation estimation of networked mobile robots in two-dimensional Euclidean space with simultaneous tracking of a rigid unknown object based on exteroceptive sensory information extracted from distributed vision systems.

以知觉的数据从分配的视觉系统吸取了的 exteroceptive 为基础的硬未知的物体和同时追踪的二维欧几里得几何的空间的这一个纸住址即时位置的问题和被网络的移动机械手的定方位判断。

In chapter 3 as the end of this paper, conclusions and expectation based on forenamed analysis is given, especially for Geometric Phases features.

第三章主要在前面计算的基础上做了一些归纳总结以及对几何相的物理解释。

Moreover, we discuss some geometrical properties about helicoidal surfaces in Minkowski 3-space.

在此基础上，讨论了螺旋面的一些几何性质。

From this theorem, we prove the existence of the recurrence for the admissible q-proper hypergeometric sums, and obtain an estimate of the order J of the recurrence.

在此基础上证明admissible q-proper超几何和的迭代关系的存在性，并且得到迭代关系阶数J的一个估计。

Based on the equations, a new method for the geometrical design of hypoid gears is presented.

在这组方程的基础上，提出了一种几何设计的新方法，以大轮的节锥角和节圆半径以及小轮的螺旋角这三个参数为自由变量，以准双曲面齿轮副的偏置角为中间变量，用数值求解方法能够非常方便可靠地确定节锥的参数。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。