渐开线圆柱齿轮偏差计算及精度等级评估

发布时间：2018-04-21 18:08

本文选题：渐开线圆柱齿轮 + 齿廓测量值　；参考：《苏州大学》2011年硕士论文

【摘要】：齿轮在各类机械设备中应用广泛。为保证齿轮机构的传动品质,必须对制成的工件齿轮进行检测,以检验其各项偏差是否满足相应的精度要求。齿轮偏差项目众多,检验仪器和检验方法也有多种选择,考虑到三坐标测量仪已经相当普及,且三坐标测量仪的测量精度较有保证,本文以渐开线圆柱齿轮为对象,探索通过三坐标测量检验齿轮偏差的途径和方法,主要内容如下: (1)在介绍渐开线圆柱齿轮精度等级及偏差检测项目的基础上,确定了渐开线圆柱齿轮齿廓和螺旋线的三坐标测量仪的测量方案; (2)介绍了根据齿廓的三坐标测量值计算齿廓偏差的渐开线法线法和渐开线直接拟合法,分析了上述二种方法的优缺点。在此基础上,提出了计算齿廓偏差的新方法:渐开线拟合——等效计算法,建立了相应的数学模型。 (3)介绍了根据齿廓的三坐标测量值计算齿距偏差的拟合渐开线与分度圆的交点法及分度圆处的法矢量测量法,分析了二者的优缺点。在此基础上,提出了广义延拓逼近法拟合渐开线与任意圆弧交点法,建立了计算渐开线齿轮齿距偏差的数学模型。 (4)介绍了计算螺旋线偏差的测量点相对极角差法,受此方法的启发,提出了螺旋线展开计算法,建立了计算螺旋线偏差的数学模型。最后,以某渐开线直齿圆柱齿轮为例,用三坐标测量仪测量了齿轮齿廓,通过Matlab编程,计算了齿轮偏差,验证了本文方法的可行性和准确性。
[Abstract]:Gears are widely used in all kinds of machinery and equipment. In order to ensure the transmission quality of the gear mechanism, the workpiece gear must be tested to check whether the deviation meets the corresponding precision requirements. There are many items of gear deviation, and there are many kinds of inspection instruments and inspection methods. Considering that the CMM has been widely used and the precision of CMM is guaranteed, this paper takes involute cylindrical gear as an object. The main contents of this paper are as follows: 1) on the basis of introducing the precision grade and deviation detection items of involute cylindrical gear, the measuring scheme of the tooth profile and helix of involute cylindrical gear is determined. This paper introduces the involute normal method and the involute direct fitting method for calculating the tooth profile deviation according to the measured values of the tooth profile, and analyzes the advantages and disadvantages of the above two methods. On the basis of this, a new method of calculating tooth profile deviation: involute fitting-equivalent calculation method is put forward, and the corresponding mathematical model is established. This paper introduces the intersecting point method of fitting involute and indexing circle and the normal vector measuring method of indexing circle according to the measuring value of tooth profile in three coordinates. The advantages and disadvantages of the two methods are analyzed. On this basis, the generalized continuation approximation method is proposed to fit the involute and arbitrary arc intersection point method, and a mathematical model for calculating the tooth pitch deviation of involute gear is established. In this paper, the relative polar angle difference method for calculating helix deviation is introduced. Inspired by this method, a spiral expansion calculation method is proposed, and a mathematical model for calculating helical deviation is established. Finally, taking an involute spur gear as an example, the gear profile is measured with a coordinate measuring instrument, and the gear deviation is calculated by Matlab programming, which verifies the feasibility and accuracy of the method in this paper.
【学位授予单位】：苏州大学
【学位级别】：硕士
【学位授予年份】：2011
【分类号】：TH132.41

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