用计算器求反渐开线函数

在渐开线齿轮和花键的尺寸计算中,经常要用到反渐开线函数,即已知invα=θ,求α值。目前普遍使用专用渐开线函数表,精度高低随表中各挡α的间隔值大小而变化,查找麻烦。而绝大多数渐开线函数表α值也只在0～60°间,大于60°的很难找到。许多杂志上著有用计算器求反渐开线函数的     

用袖珍计算器求解反渐开线函数的若干方法

用袖珍计算器求解渐开线函数,不少杂志上都已介绍,但综观诸法,笔者感到存在几个不便之处: 第一,用普通函数型计算器计算,诸文介绍的方法需较满意的初始值,且反复操作复杂的公式,否则难以保证精度。 第二,用可编程序的计算器迭代求解,亦要选择适当的初始值,且有时会“发散”而得不到解。有的方法虽不存在“发散”问题,但只适合特定型号的计算器,对通用性带来了限制。 为此,本文给出在普通函数型计算器及可编程序的任意型号计算器上求解的方法,它具有以下特点: 1)在普通函数型计算器上的方法,不用迭代,一次计算误差小于1",二次计算可逼近真值,完全能满足一般工程要求。     

利用函数计算器求渐开线函数

齿轮渐开线函数及其反函数的计算需查表,比较麻烦。采用普通函数计算器来求解,比较方便。现以SHARP EL-506P和CASIO f_x-81计算器为例(其它机型可参阅说明书效仿),列出数学公式及按键顺序:     

反渐开线函数的简捷迭代求解法

反渐开线函数的简捷迭代求解法大连机床厂（大连１１６０２２）傅理阳本文的方法采用的迭代公式为ａ＂＋；一ｃｏｓ－‘·ｄｎａ’／（ａ’十０），其收敛速度极快，一般只需迭代几次，不超过１０秒·就能给出精度在０．０１秒内的答案，而且初始值ａｃ可取０～。／２任何...     

反渐开线函数的精确求解

反渐开线函数求解历来是从事齿轮刀具设计，制造及齿轮加工技术人中感兴趣的问题，笔者根据多年的实践，对反渐开线函数进行的定性与定量的分析，整理出一套用迭代法求解反渐开线函数，具有试算次数少，计算精度高，（绝对误差小于１×１０＾－９弧度）等特点。     

用计算器求反渐开线函数

通过实例,介绍了用计算器求反渐开线函数的方法。     

反渐开线函数的精确求解

反渐开线函数求解历来是从事齿轮刀具设计、制造及齿轮加工技术人员感兴趣的问题.笔者根据多年的实践,对反渐开线函数进行了定性与定量的分析,整理出一套用迭代法求解反渐开线函数,具有试算次数少、计算精度高(绝对误差小于1×10~(-9)弧度)等特点.     

求解反渐开线函数的计算

在实际应用渐开线函致中,往往涉及到求解反渐开线函数的计算,目前求解反渐开线函数一般有近似公式法和迭代法两种。运用迭代法求解精度较高,运用较为普遍,通常有以下三种迭代式:     

一种精确计算反渐开线函数的好方法

渐开线常用来作为齿轮齿廓曲线。虽然容易作出渐开线曲线,渐开线函数也易于求解,但要计算反渐开线函数则较困难。渐开线函数如下: ε=tgφ-φ=invφ反渐开线函数φ=inv~(-1)ε在齿轮设计中常常会碰到。若已知齿轮在某点的压力角φ,求invφ很容易。但若已知inv~(-1)ε时,从渐开线函数表中也可查出φ角值,但有时则需要经插值计算,这样得出的φ是近似值,精度不高。可用迭代法来求解反渐开线函数(见     

Algorithms for assigning parallel program branches to computer system processor cores

A problem of optimal assignment of parallel program branches to processor cores of a distributed computer system (CS) in order to minimize its execution times is formulated. The formulation takes into account the hierarchic organization of the distributed CS communication network, the property of multicore processors, and the structure of a parallel program information graph. Stochastic sequential and parallel algorithms for solving the problem are proposed. Results of algorithm modeling by a cluster CS are presented.     

用于螺纹快速绘图的计算机程序开发

螺纹联结是各类联结中最常用的一种联结方式,在进行机械设计绘图时,常常要绘制螺纹联结件.提出用AutoLIsP语言,开发用于螺纹快速绘图的CAD程序的原理与方法,开发出的程序能快速准确地绘制各种内、外螺纹并添加中心符号,且牙顶,牙底尺寸完全准确.本文提供使用实例.     

齿轮接触强度的研究及基于Visual Basic语言的程序设计

根据齿轮啮合原理和接触力学,深入研究了渐开线齿轮传动啮合过程中各啮合点的接触应力计算,研究了不同参数齿轮传动最大接触应力可能出现的啮合位置,分析了国家标准(GB/T 3480-1997)接触强度计算公式,指出了国家标准中接触应力计算公式的局限性,提出了更加全面的确定和计算最大接触应力的方法;并运用Visual Basic语言和Microsoft Visual Basic6.0软件,编制了齿轮接触强度的计算程序;程序为计算齿轮的几何参数、接触应力及接触强度校核提供了快捷的工具,可以大大提高了齿轮设计的效率.     

A computer program to illustrate macro topography on electron backscattering

This paper describes a computer program which enables the trajectories of an electron to be followed inside a solid sample and its pathway if it is successful to exit the sample's surface, and to be considered a backscattered electron (BSE). The simulation aids to understand the backscattering process and the effect of the sample that has other than an ideal flat surface topography. Several types of surface for the sample are simulated: a flat surface which can be tilted, a rough surface represented by a sine wave, and a circular surface to represent filamentous structures. The target material is entered as its empirical formula so that its mean atomic number may be calculated. It is covered with a layer of conductive coating, and it may be structured with vertical or horizontal layers of a second-phase material. Where appropriate, the position of the electron beam impacting on the target may be moved in relation to the underlying structures. The passage of the electron through the substrate is displayed on the computer monitor in high-resolution graphics. Information about those electrons which return to the sample surface and are backscattered is stored for later analysis. The paths of these BSEs are replotted to show the volume of the sample from which the image-forming data are derived. Further graphic output provides histograms of the energy distribution and of the BSEs exit direction.     

A computer program for the systematic sampling of sections in microscopic morphometry

A computer program is described that facilitates systematic and unbiased sampling in morphometry. Input data are coordinates of the four corners of a section as displayed in the position indicators of the microscope stage. Outputs are coordinate values in the form of a regular lattice that describes where to place the stage and perform the sampling on the section. In addition, some other data are provided by the program, such as total area of section, length of sides, etc. The program is written in BASIC but can be easily converted to other computer languages.     

A computer program for many-beam image simulation of amplitude-contrast images

A computer program for the simulation of amplitude-contrast electron micrographs is described. The program is based on the n-beam dynamical theory of diffraction contrast as described by Howie and Whelan (see Howie, A., and Whelan, M.J. (1961) Proc. R. Soc. Lond. [Biol]). The displacement fields associated with crystal lattice defects are calculated using linear anisotropic elasticity. The program can be used to simulate images of crystals containing line or planar defects or combinations of these defects. The line defects can be oriented freely within the foil, and are not restricted to being mutually parallel, but must be straight. Different techniques available for solving the diffraction problem, with or without the column approximation, are discussed.     

A computer program for morphometry of circular and elliptical profiles on the microscope

We describe a short computer program, which is written in Pascal language, to measure the diameter of circular and elliptical profiles in sections. Coordinate pairs on the microscope stage, corresponding to two or three points of a profile, are input to obtain its diameter. The program enables one to take measurements directly on the microscope, thereby reducing photographic work and caliper measurement. While the program is largely designed for electron microscopy, it also may be useful for light microscopy morphometry.     

渐开线齿轮点蚀成因新释

对现有点蚀成因的理论作了评述，并根据流体力学润滑原理分析了齿面下剪应力的分布规律。最后据此对点蚀成因及所表现的特点进行了新的解释。     

DGS-Universal+ computer program for plotting DGS diagrams and scales

The program АРД-универсал+ (DGS-Universal+) is a continuation of the software DGS-Universal. Version 2.2 developed in 2000 and modified afterward several times. During calibration, the use of the diagrams’ reference signals from reflectors of widely used calibration block CO-2 (State Standard GOST 14782-86) is made possible by the improved algorithm for calibration. The program is compatible with the Windows 95-XP operating systems and is designed for specialists familiar with DGS diagrams and their use during ultrasonic testing.     

计算机绘制阶冷曲线图程序的开发与应用

计算机绘制阶冷曲线图程序的开发与应用,解决了生产检验工作中于手工绘制存在的诸多问题,提高了工作效率。