摘要
齿轮是应用广泛的关键基础件,采用三维拓扑修形是控制齿轮性能的一个普遍趋势,现有的齿轮测量技术在获取齿面三维拓扑信息方面已逐渐成熟并得到应用.但目前各类齿轮精度评价体系普遍使用基于小样本及极值法获取的各项齿轮精度指标作为评价依据,这种方式对完整评价修形齿轮的质量及工艺分析存在诸多缺陷.基于全信息的齿轮精度评价体系则以齿轮全信息为样本,使用以统计分析方法获取的更有代表性的齿轮精度新指标作为评价依据.基于全信息的齿轮精度评价体系包括用于表达齿轮全信息的3D数学模型,基于3D模型定义的新指标,以及基于选取的新指标构建的新评价指标系统.基于全信息的齿轮精度评价体系可以克服现有齿轮精度评价体系的缺陷.新体系可充分利用测量数据,对测量误差不敏感,能真实完整地反映齿轮性能,有利于对被测齿轮作出更加科学的分析和评价,有利于进行工艺系统稳定性和加工能力的分析和改善.首先介绍齿面误差的3D表达方法;然后基于齿面误差的3D表达提出了特征数据集的定义方法和基于统计的评价指标计算方法,并选取指标建立了新的齿轮精度评价指标系统.最后用仿真试验和实测试验说明新评价体系的原理和识别误差规律的效果.
Gears are important parts of machines. It is a general trend applying topological modifications to control the performance of gears. Acquiring the 3D topological information of gear geometry by existing gear measuring technology has become a reality. However, according to present evaluation system of gear accuracy, only a small sample of measurements and the extreme deviations are used to calculate the parameters. This approach has some disadvantages. A new system for evaluating gear accuracy based on full information is proposed in this work. The new system evaluates gears based on full information of all measurements, statistical analysis approaches and representative parameters of gear accuracy. The new system consists of three parts： a three-dimensional model to express the tooth surface errors, the definitions and formulas of new parameters based on the three-dimensional model, and the construction of the new classification system based on the selected new parameters. The new evaluation system can make up for the shortages of the existing one. The proposed system can take full advantage of the measurements. Values of the proposed parameters are less sensitive to the random measuring errors than those of the existing system. The new system has a good application prospect in analyzing the error source of the manufacture system, evaluating the capability of process, and predicting the actual performance of the gear. Firstly, a three-dimensional model to express the tooth surface errors is proposed in this paper. Then, the definitions and extraction methods of the characteristic data sets （CDS） are proposed based on the three-dimensional expression of the errors. The calculation formulas of new parameters of accuracy are presented. And the evaluation system of gear accuracy based on full information is established by composing selected parameters. Finally, simulation and actual experiments illustrate the effects of the proposed system to identify the characteristics of errors.
作者
王笑一
石照耀
WANG XiaoYi SHI ZhaoYao(Beijing Engineering Research Center of Precision Measurement Technology and Instruments, Beijing University of Technology, Beijing 100124 China School of Mechatronics Engineering, Henan University of Science and Technology, Luoyang 471003, China)
出处
《中国科学：技术科学》
EI
CSCD
北大核心
2017年第1期46-59,共14页
Scientia Sinica(Technologica)
基金
国家自然科学基金(批准号:51635001)资助项目
关键词
齿轮
齿轮精度
齿轮测量
评价体系
特征数据集
gear, gear accuracy, gear measurement, evaluation system, characteristic data set
