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LIU Hui's Cyclotomic Method is one of the greatest achievements in the history of mathematics in China,even in the world,in which the special approach to understand the infinity and the method to solve it are presented.

有的著作认为在极限公式limx→0sinxx=1的证明中,要用到圆的面积公式S=21Lr,而对后者的证明中必须要用到重要极限limx→0sinxx=1,从而犯了循环论证的错误。魏晋刘徽的"割圆术"是对无限问题的独特认识和致用的处理方式,是为证明圆面积公式而设计出来的一种方法。

The experiments conducted on the diameter of circle and coordinates of circle center reveal that this method is practical.

通过对圆的直径和中心坐标的测量实验,结果表明,该方法切实可行。

Finally it analyzes the feasibility that using hydromechanics to analyze traffic flow by contrasting various characters between traffic flow and fluid flow. It analyzes influence of road alignment to basic expressway segment capacity by hydromechanics, and obtains viscous resistance and viscous movement differential equation when the vehicle drives on circular curve segment of expressway. And it infers that viscous resistance is correlated with sideway force coefficient, slope of crown and radius of circular curve. Radius of circular curve, sideway force coefficient and slope of crown are bigger, viscous resistance is smaller, the influence to capacity is smaller when the vehicle is running on nearside lane of circular curve; but radius of circular curve and sideway force coefficient are bigger, slope of crown is smaller, viscous resistance is smaller, the influence to capacity is smaller when the vehicle is running on fast lane of circular curve.

最后通过对比交通流与流体流的相似性,运用流体力学分析了道路线形对快速路基本路段通行能力的影响,求出了车辆在曲线路段的粘性阻力,建立了车辆在曲线路段的粘性运动微分方程,并由此推知,粘性阻力与横向力系数、路拱横坡度和圆曲线半径都有关系,当车辆在圆曲线外侧车道上行驶时,圆曲线半径、横向力系数和路拱横坡度越大,粘性阻力就越小,对道路的通行能力影响就越小;而当车辆在圆曲线内侧车道上行驶时,圆曲线半径和横向力系数越大,路拱横坡度越小,粘性阻力就越小,对道路的通行能力影响就越小。

Thus, evaluation of the minimum zone circle could be solved effectively.Three methods of assessment of roundness error were proposed in this dissertation. Based on the criteria of the minimum zone circle, minimum circumscribed circle and maximum inscribed circle and convex hull, a unified approach was proposed to evaluate roundness error of the minimum zone circle, minimum circumscribed circle and maximum inscribed circle. Evaluation of the minimum zone circle, minimum circumscribed circle and maximum inscribed circle was fulfilled with rotation based the contact pattern. The minimum circumscribed circle and maximum inscribed circle were evaluated with curvature and the curvature circle.

本文提出了三种圆度误差评定的方法:根据最小区域圆、最小外接圆、最大内接圆在极坐标系下的判别准则,利用计算几何中的凸壳理论,提出了一种统一的评定方法,实现了对最小区域圆、最小外接圆、最大内接圆的误差评定;基于接触斑点的检验原理,利用旋转法,实现了最小区域圆、最小外接圆和最大内接圆的误差评定;利用曲率和曲率圆,实现了对最小外接圆和最大内接圆的误差评定。

Based on the mechanical analysis of rotary pan, the axisymmetrical model and non-axisymmetrical one were proposed respectively by simplifying the effect of lacing wires on pan into ring distribution uniform load or force and were solved according to the flexure theory of thin plate with small deflection.

在分析工作状态下转子圆盘受力的基础上,将拉筋对圆盘的作用分别简化成环形均布载荷和集中载荷,建立承压圆盘的轴对称模型和非轴对称模型,并根据薄板的小挠度弯曲理论,对力学模型进行求解。

By the aid of a example, the parameters were solved with the tangent line of a circle, the intersection point of tangent and thecoordinates defined by the geometrical relationship of the image based on two propositions proposed in the paper.

借助实例,在文中建立的2个命题的基础上,通过对圆的切线、切线交点及所成像的几何关系确定的的坐标进行参数求解,得到确定模型的二维像和三维像。

LIU Hui's Cyclotomic Method is one of the greatest achievements in the history of mathematics in China,even in the world,in which the special approach to understand the infinity and the method to solve it are presented.

有的著作认为在极限公式limx→0sinxx=1的证明中,要用到圆的面积公式S=21Lr,而对后者的证明中必须要用到重要极限limx→0sinxx=1,从而犯了循环论证的错误。魏晋刘徽的&割圆术&是对无限问题的独特认识和致用的处理方式,是为证明圆面积公式而设计出来的一种方法。

Three important contents (the phase relation between stator voltage and magnetic flux, the magnetic flux of stator approximating a round and SVPWM overmodulation) are simulated, and the gotten simulation results all accord with theoretical analysis.

通过对定子电压与磁链的相位关系、磁链对圆的逼近及过调制现象三个重要内容的仿真研究,结果表明与理论分析都很一致,从而为SVPWM技术的实际应用及研究提供了一定的参考价值。

In order to obtain better characteristics of photonic crystal lasers, the wafer bonding technology is introduced to integrate MQWs wafer with different uncompatible wafers. We utilize the direct bonding method and glue bonding method to integrate the 1550nm long-wavelength MQWs with DBR wafer or sapphire. The effect factors of bonding process and choice of bonding materials are discussed. At last, we measure the photoluminescence spectra of our membrane devices and bonding samples.

为了得到更好的光谱特性,我们介绍了各种晶圆接合技术去整合含有多层量子井结构的晶圆与其不相容的材料,我们利用直接接合和溶胶接合的方法去接合1550nm长波长的多层量子井晶圆与含有DBR结构的晶圆或sapphire,并对於各种接合影响因素与材料的选择加以讨论,最后再对我们的层状光子晶体雷射和晶圆接合后的样本做量测。

Furthermore, the performance of half right circular corner filleted flexure hinge was analyzed, including the effect of its geometric parameters on its performance. Compared with symmetrical right circular corner filleted flexure hinge, the compliance and sensitivity to the load of half right circular corner filleted flexure hinge were better than those of symmetric right circular corner filleted flexure hinge. The above results provide a new idea for the applications of flexure hinge, which is used in compact structure and structure with large displacement.

同时对单边直圆导角复合柔性铰链的性能进行分析,分析了结构参数对其柔度性能的影响,通过与双边直圆导角复合柔性铰链比较,得出了单边直圆导角复合柔性铰链的转动能力、对载荷的敏感性均优于双边直圆导角复合柔性铰链,为柔性铰链在结构紧凑、大位移场合的工程应用提供了新的思路。

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