基于新国标的圆柱齿轮精度设计CAD系统研究

发布时间：2018-01-19 03:10

本文关键词： 新国标圆柱齿轮精度设计 MATLAB CAD　出处：《南华大学》2012年硕士论文　论文类型：学位论文

【摘要】：渐开线圆柱齿轮传动是各种齿轮传动类型中应用最为广泛的。其精度设计是依据产品的技术要求，遵循新一代产品几何技术规范与认证等国家标准。2008年新渐开线圆柱齿轮精度标准体系，其项目、术语、定义及符号与旧国标形成了很大的反差，许多齿轮工作者一段时间以来都难以适应，于是在教学和生产实际中出现了结构紊乱、新旧标准混用、项目过多或缺失、新旧项目混搭的乱象，很不利于新国标的贯彻执行。本文针对新旧国标体系的变化，通过吸纳国内外相关研究成果，创新性地建立基于新国标的渐开线圆柱齿轮精度设计CAD系统。该系统功能计有以下几个方面：1）计算单个齿距偏差、齿距累积总偏差、齿廓总偏差、螺旋线总偏差四项允许值；2）计算法向齿厚；法向弦齿厚；公法线长度；跨棒尺寸及这四项的上下偏差；3）倒锥齿跨球距参数化计算。该系统是基于MATLAB GUI可视化界面开发模块的CAD系统，在系统开发过程中主要完成了以下几个方面的研究工作：1）通过查阅文献，归纳总结各级精度齿轮偏差允许值的计算公式，汇成各级精度齿轮偏差允许值公式集；2）讨论新国标中最小侧隙和最大侧隙的确定方法；3）完成了法向齿厚、法向弦齿厚、公法线长度、跨棒尺寸以及计入侧隙时这四项的极限偏差计算公式集；4）利用量球测量法，推导倒锥齿跨球距计算公式；5）根据牛顿迭代法原理，，运用MATLAB软件解决反渐开线函数精度求解的难点问题；6）通过对专家的广泛调查,资料的收集、整理、归纳，建立数据库，解决量球直径、最小侧隙、径向跳动和切进公差数据的调用问题。通过实例证明本CAD系统能避免繁琐的手工设计计算及查找表格，实现圆柱齿轮精度设计的参数化和简约化设计，有效地提高了工作效率，节省大量的时间。
[Abstract]:Involute cylindrical gear transmission is the most widely used in various gear transmission types. Its precision design is based on the technical requirements of the product. In 2008, the new involute cylindrical gear precision standard system, its items, terms, definitions and symbols formed a great contrast with the old national standard. Many gear workers have been difficult to adapt for some time, so in the teaching and production practice, there appears the structure disorder, the new and old standards mixed use, the project too many or missing, the new and old projects mixed up chaos. It is unfavorable to the implementation of the new national standard. This paper aims at the change of the new and the old national standard system, through absorbing the domestic and foreign related research results. The CAD system for precision design of involute cylindrical gears based on the new national standard is creatively established. The system has the following aspects: 1) calculate the single pitch deviation, the cumulative total deviation of tooth pitch, and the total deviation of tooth profile. Four allowable values of total helix deviation; 2) calculating normal tooth thickness; Normal chord tooth thickness; Length of line of public law; The size of the span bar and the upper and lower deviations of these four terms; 3) parameterized calculation of spheroidal distance of inverted conical teeth. This system is based on MATLAB GUI visual interface development module CAD system, in the system development process mainly completed the following aspects of research work: 1) by consulting literature. The formula for calculating the allowable value of gear deviation at all levels is summarized and the formula set of allowable values of gear deviation at all levels is obtained. 2) the determination method of the minimum and maximum lateral gap in the new national standard is discussed. 3) complete the calculation formulas of normal tooth thickness, normal chord tooth thickness, common line length, span bar size and limit deviation when considering the clearance; 4) the formula for calculating the spheroidal distance of the inverted conical teeth is derived by using the ball measurement method. 5) according to the principle of Newton iteration method, using MATLAB software to solve the difficult problem of precision solution of inverse involute function; 6) through the extensive investigation of experts, the collection, collation, induction and establishment of database, the transfer problem of diameter, minimum clearance, radial runout and cut tolerance data of the ball is solved. It is proved by an example that the CAD system can avoid the complicated manual design calculation and search table, realize the parameterized and simplified design of cylindrical gear precision design, and effectively improve the working efficiency. Save a lot of time.
【学位授予单位】：南华大学
【学位级别】：硕士
【学位授予年份】：2012
【分类号】：TH132.41

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