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First the math theory of machining simulation is studied, and the set structure of NC machining simulation system whose components, including time, input, output and so on, are defined. Hereby we set up the hierarchy structure, the logical structure, the static model and the dynamic model of simulation system. The construction method of sweep entity of cutter and rotation parts is researched, and their differential geometry invariants are calculated. NC code is unscrambled, and the recursion division arithmetic of time segment is put forward, which is the driven data of the movement or rotation parts. The CLDATA should be interference-free. To examine if there is interference between cutter flank and the work piece, an arithmetic that discussed the existence of intersecting curve between them is put forward. To examine if there is interference between two turrets, an arithmetic that discussed the existence of intersection set between two polygons is put forward.

首先研究加工过程仿真的数学基础,然后定义数控加工仿真系统的集合结构及时间集、输入集、输出集等概念,建立加工仿真的层次结构和逻辑结构,阐述双刀车削仿真系统的静态模型和动态模型建立方法,分析刀具扫描体和旋转部件扫描体的建立方法及其微分几何性质;研究NC代码解读技术和双刀加工时间段递归子分划技术,为驱动各仿真单元作数据准备;通过讨论后刀面和工件表面交线的存在性判断刀具后刀面与工件间是否干涉,通过求多边形的交集判断刀架与刀架是否干涉。

The symcenter of conoscopic interference pattern is corresponding to vertical incident light and crystal birefractive index is proportional to interference order m. Decimal fraction of interference order m is calculated by the placement of central dark fringe and integer part is ascertained by self-consistent method.

干涉图的对称中心对应于正入射光线,双折射率正比于此点的干涉级m,m的小数部分主要由中央暗条纹的位置决定,m的整数部分由自洽的办法求出。

In the aspect of Opto—electrical signal processing, because the heterodyne interference signal is a high frequency fringe signal, how to measure the phases change of this signal——including the integer part of phases change over 2π and decimal part of phases change within 2π, is a difficult problem in electrical circuit technique.

一方面,该电路能同时测量出相位改变量的2π整数部分和2π以内的小数部分,从而实现了大量程和高精度的统一;另一方面,由于该电路是模拟电路,其最高工作频率可以远大于由数字集成电路组成的条纹计数电路,故在实际应用中,其工作频率的设计范围能够适应较宽的外差干涉差频范围,这就为高速激光外差干涉测量打下了基础。

To realize automatic measuring of this method and improve it's precision, in this thesis the liquid crystal cell is used as a phase-shifter for the traditional DSSPI successfully. The phase-shifting DSSPI system is designed based on the liquid crystal phase-shifter and Wollaston prism.

为了进一步实现该方法的自动化检测,提高测试精度,在本论文中,成功的把液晶体做相移器应用于传统的数字错位散斑干涉计量,设计了基于液晶相移器和渥拉斯顿棱镜的数字错位散斑干涉系统。

Based on the interference theory of light wave and Mie′s scattering, atheory of the quasi-waveguide has been developed for the first time,which,in two aspects,represents the property of the mode spectrum in aquasi-waveguide e.g.the analytic expression of the reflection intensity asa function of the incident angle,and that of the scattered intensity as afunction of the output angle.

基于平面波的光波簇干涉理论和米氏散射,发展了准波导理论,首次给出了从两个不同侧面表征准波导模谱特性的反射光强度与入射角以及散射光强度与输出角的函数关系解析式,并确认其m-线的产生源于米氏散射光及其干涉效应所致的选模作用。

For the first time, we observe the polarization effect in two-core fiber interferometers, for which we give our analyses and explanations in the thesis. This effect can be used to improve the S/N ratio and the stability of the system. Meanwhile, we did experiments to measure strain within a deformed cantilever, and the results are in agreement with our theory.

本文分析探讨了双芯光纤应变干涉测量的基本原理,对实验系统及现象进行了较为详细的分析,首次发现并验证了双芯光纤干涉中存在的偏振效应,提出了提高系统信噪比和稳定性的新方法;同时进行了一些实验研究,取得了与理论基本一致的结果。

Inthis paper, a new method is presented, in which we measure the thickness ofsurface film layer by means of measuring the distance between correspondingtwo dark lines in two groups of white light interference fringes that are res-Pectively produced by two beam reflected by two surface of the thin filmlayer and another beam coming from another arm in Michelson interferome-t...

本文提出一种新方法,它利用迈克耳逊干涉光路,通过对膜层前后两表面反射光束和来自另一臂的反射光束产生的两组白光干涉纹黑线间隔的测量,即可得到表面膜层的厚度、这种测量方法迅速、简便、设备简单、精确度高、不损伤膜层表面,适合在实验室和工厂广泛应用。

The fringe contrast of interference from the reflection spectrum of the sensor is influenced by the refractive index to be measured outside.

干涉条纹的对比度受光纤头端面外部的折射率影响,在干涉条纹包络的波谷处具有最大的对比度,外部待测折射率可通过计算该处的对比度得到。

Methods of fast Fourier transform and phase unwrap were used to demodulate the phase of the interferogram obtained from experiment, distortion of wavefront disturbed by temperature fluctuation which equals to phase shift induced by refractive index change was calculated, and a way of axisymmetric temperature field reconstruction was put into reshowing a layer of the gas temperature distribution.

通过实验得到干涉条纹,用CCD摄入计算机,经Matlab编制傅里叶变换、相位去包裹和其他数值计算程序,解调干涉条纹的相位,计算出温度扰动产生的波面畸变量,它等于折射率变化引起的相位偏移值,用轴对称气体温度场重建方法,再现了气体温度场一个层面上的温度分布。

In this paper, the primary terms in closed form, which are essential to the influence of interference effects of the notches are obtained by means of the modification of body force densities, the adoption of local coordinates with respect to the center of each notch element and the decomposition of Melan's fundamental solutions. Thus an improved body force method is proposed for analyzing interference effects of random boundary notches subje-cted to complex loads.

本文通过修改体积力密度的定义、引入建立在各缺口单元中心处的局部坐标并分解Melan基本解,获得了影响缺口群相互干涉效应的主项封闭解,从而建立了能有效地分析复合载荷作用下任意边界缺口群相互干涉效应的改进型体积力法。

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