面向双重最小实体要求的轴件同轴度评定方法

doi:10.3901/JME.2022.09.231

机械工程学报 ›› 2022, Vol. 58 ›› Issue (9): 231-243.doi: 10.3901/JME.2022.09.231

扫码分享

面向双重最小实体要求的轴件同轴度评定方法

秦玲¹, 黄美发², 唐哲敏², 钟艳如³, 覃裕初⁴, 刘廷伟²

1. 桂林信息科技学院桂林 541004;
2. 桂林电子科技大学机电工程学院桂林 541004;
3. 桂林电子科技大学计算机与信息安全学院桂林 541004;
4. 哈德斯菲尔德大学计算与工程学院哈德斯菲尔德 HD1 3DH 英国

收稿日期:2021-05-16 修回日期:2021-11-25 出版日期:2022-05-05 发布日期:2022-06-23
通讯作者: 唐哲敏(通信作者)，男，1986年出生，博士，讲师。主要研究方向为计算机辅助公差设计和评定等。E-mail：tzmaql@126.com E-mail:tzmaql@126.com
作者简介:秦玲，女，1986年出生，硕士，讲师，工程师。主要研究方向为智能制造与智能检测等。E-mail：306146235@qq.com;黄美发，男，1962年出生，博士，教授。主要研究方向为机电系统精度设计和智能测量方法等。E-mail：1390385642@qq.com;钟艳如，女，1965年出生，硕士，教授。主要研究方向为软件工程与形式化方法、计算机辅助公差设计、国际新一代精度理论体系等。E-mail：1467536235@qq.com;覃裕初，男，1986年出生，博士。主要研究方向为增材制造信息学、计算机辅助几何产品规范、CAD数据互操作性以及知识表示和推理等。E-mail：83685895@qq.com;刘廷伟，男，1994年出生，硕士研究生。主要研究方向为机电系统精度设计和智能测量方法等。E-mail：1055028054@qq.com
基金资助:
国家自然科学基金(51765012)、广西高校中青年教师(科研)基础能力提升(2022KY0199)和广西博士后专项(C21RSC90YX07)资助项目

Coaxiality Evaluation Method of Shaft Parts for Double Least Material Requirements

QIN Ling¹, HUANG Meifa², TANG Zhemin², ZHONG Yanru³, QIN Yuchu⁴, LIU Tingwei²

1. Guilin Institute of Information Technology, Guilin 541004;
2. School of Mechanical and Electrical Engineering, Guilin University of Electronic Technology, Guilin 541004;
3. School of Computer Science and Information Security, Guilin University of Electronic Technology, Guilin 541004;
4. School of Computing and Engineering, University of Huddersfield, Huddersfield, HD1 3DH, UK

Received:2021-05-16 Revised:2021-11-25 Online:2022-05-05 Published:2022-06-23

摘要/Abstract

摘要： 如果同轴度公差的被测要素和基准要素上都有最小实体要求(LMR)，那么，这种同轴度公差被称为双重最小实体要求的同轴度(DLMR同轴度)。DLMR同轴度能在保证轴件整体装配精度的同时降低制造成本。目前，DLMR同轴度缺乏准确的误差模型，这使其难以准确检测，因此，研究了DLMR同轴度的一种数学评定方法。分析了DLMR同轴度的公差要求和评定特性，建立了边界可以膨胀的自适应虚拟量规；分析了自适应虚拟量规的几何构造和运动过程，通过自适应虚拟量规与实际零件的运动评定实际零件的综合误差；分析了自适应虚拟量规法的计算偏差，通过“再定位”提高了自适应虚拟量规法的精度。最后，给出了这种方法在阶梯轴评定中的应用实例。

关键词: 误差评定, 最小实体要求, 基准, 同轴度

Abstract: If the least material requirement (LMR) is applied to the tolerances feature and datum of coaxiality tolerance at the same time, it is called double least material requirement coaxiality (DLMR coaxiality). DLMR coaxiality can ensure the overall assembly accuracy of the stepped shaft and reduce the manufacturing cost, but the lack of accurate error model makes it difficult to accurately be evaluated. Therefore, the error evaluation method of DLMR coaxiality is investigated. The tolerance requirements and evaluation characteristics of DLMR coaxiality is analyzed, and an adaptive virtual gauge with expandable boundary is established. The geometric structure and motion process of the adaptive virtual gauge is analyzed, and the comprehensive error of the actual part is evaluated through the motion of the adaptive virtual gauge and the actual part. The calculation method of the adaptive virtual gauge is analyzed, and the accuracy of the adaptive virtual gauge method is improved by "repositioning". Finally, an application of the proposed method in stepped shaft evaluation is given.

Key words: error evaluation, least material requirement, datum, coaxiality

中图分类号:

TH161

秦玲, 黄美发, 唐哲敏, 钟艳如, 覃裕初, 刘廷伟. 面向双重最小实体要求的轴件同轴度评定方法[J]. 机械工程学报, 2022, 58(9): 231-243.

QIN Ling, HUANG Meifa, TANG Zhemin, ZHONG Yanru, QIN Yuchu, LIU Tingwei. Coaxiality Evaluation Method of Shaft Parts for Double Least Material Requirements[J]. Journal of Mechanical Engineering, 2022, 58(9): 231-243.

参考文献

[1] ISO 2692-2014, Geometrical product specifications (GPS) – Geometrical tolerancing – Maximum material requirement (MMR), least material requirement (LMR) and reciprocity requirement (RPR)[S]. Genevese, Switzerland: International Standard Organization.
[2] GB/T 16671-2018, Geometrical product specification (GPS) – Geometrical tolerancing – Maximum material requirement (MMR), least material requirement (LMR) and reciprocity requirement (RPR)[S]. Beijing: Standards Press of China. GB/T 16671-2018, 产品几何技术规范(GPS)几何公差最小实体要求、最小实体要求和可逆要求[S]. 北京: 中国标准出版社.
[3] WANG Gu. Research on the runout and coaxiality measurement technique of aero-engine honeycomb surface[D]. Harbin: Harbin Institute of Technology, 2015. 万谷. 航空发动机蜂窝表面跳动和同轴度测量技术研究[D]. 哈尔滨: 哈尔滨工业大学, 2015.
[4] ZHANG B, ZHANG W J, LEI L H. Development of coaxiality measurement system of turbine components and stud standard parts[J]. Infrared and Laser Engineering, 2020, 49(10): 162-167.
[5] HU Weixin. Milling tests to measure five-axis machine tool errors[D]. Hangzhou: Zhejiang University, 2018. 胡维鑫. 五轴机床误差的铣削加工测量方法[D]. 杭州: 浙江大学, 2018.
[6] ZHAO Lei, CHENG Kai, DING Hui, et al. On-machine measurement of the straightness and tilt errors of a linear slideway using a new four-sensor method[J]. Chinese Journal of Mechanical Engineering, 2019, 32(2): 122-132.
[7] AMETA G, SINGH G, DAVIDSON J K, et al. Application of T-MAPS for composite position tolerance for patterns of features[C]//ASME International Design Engineering Technical Conferences/Computers and Information in Engineering Conference (IDETC/CIE 2017), 2017: V001T02A014.
[8] LIU Jianhua, ZHANG Zhiqiang, XIA Huanxiong, et al. Assembly accuracy analysis with consideration of form defects and surface deformations[J]. Journal of Mechanical Engineering, 2021, 57(3): 207-219. 刘检华, 张志强, 夏焕雄, 等. 考虑表面形貌与受力变形的装配精度分析方法[J]. 机械工程学报, 2021, 57(3): 207-219.
[9] TANG Zhemin, HUANG Meifa, SUN Yonghou. Assembly statistic tolerance modeling based on homogeneous transformation[J]. Computer Integrated Manufacturing System, 2017, 23(3): 455-464. 唐哲敏, 黄美发, 孙永厚. 基于齐次坐标变换的统计装配公差建模[J]. 计算机集成制造系统, 2017, 23(3): 455-464.
[10] JIANG Ke, LIU Jianhua, NING Ruxin, et al. Variation analysis and assembly success rate computation for clearance fit under constraint of location priority[J]. Journal of Mechanical Engineering, 2014, 50(15): 136-146. 蒋科, 刘检华, 宁汝新, 等. 定位优先级约束下间隙配合的变动解析与装配成功率计算[J]. 机械工程学报, 2014, 50(15): 136-146.
[11] LUO Chen, NIE Jiaqi, ZHOU Yijun. An improved tolerance modeling method based on Bézier parametric space envelope[J]. Journal of Mechanical Engineering, 2021, 57(9): 183-190. 罗晨, 聂家齐, 周怡君. 基于Bézier参数空间包络的改进公差建模方法[J]. 机械工程学报, 2021, 57(9): 183-190.
[12] KALISH N J, DAVIDSON J K, RAMNATH S, et al. Mathematical tools for automating digital fixture setups: Constructing T-maps and relating metrological data to coordinates for T-maps and deviation spaces[J]. Journal of Computing and Information Science in Engineering, 2018, 18(4): 1-12.
[13] ZHANG Xi, LI Jie, FAN Jianying, et al. Analysis and evaluation of coaxiality error of semi-strapdown micro inertial measurement system[J]. Acta Armamentarii, 2015, 36(3): 503-509. 张樨, 李杰, 范建英, 等. 半捷联微惯性测量系统同轴度误差解析评定[J]. 兵工学报, 2015, 36(3): 503-509.
[14] ZHANG Y, GE L. A novel geometry error measurement methodology for coaxiality evaluation[C]//Proceedings of the Institution of Mechanical Engineers. Part B: Journal of Engineering Manufacture, London: SAGE Publications Ltd, 2021: 627-639.
[15] GUO Chongying, LIU Jianhua, TANG Chengtong, et al. Evaluation of geometric error based on deviation vector of geometric feature[J]. Computer Integrated Manufacturing Systems, 2015, 21(10): 2604-2612. 郭崇颖, 刘检华, 唐承统, 等. 基于几何特征变动向量的几何误差评定方法[J]. 计算机集成制造系统, 2015, 21(10): 2604-2612.
[16] WANG Ruijian. Concentricity and straightness visual measurement technology for high speed rail vehicles axle[D]. Changchun: Jilin University, 2018. 王瑞剑. 高速轨道客车车轴同轴度与直线度视觉测量技术[D]. 长春: 吉林大学, 2018.
[17] XIONG Youlun. The theory and algorithm of form error evaluation[J]. Journal Huazhong (Central China) University of Science and Technology, 1987, 15(5): 85-90. 熊有伦. 评定形状误差的理论和算法[J]. 华中工学院学报, 1987, 15(5): 85-90.
[18] VLADAN R, MIODRAG H, BRANKO Š, et al. Evaluating minimum zone flatness error using new method—bundle of plains through one point[J]. Precision Engineering, 2016, 43: 554-562.
[19] LIU F, XU G, LANG L, et al. Minimum zone evaluation of sphericity deviation based on the intersecting chord method in Cartesian coordinate system[J]. Precision Engineering, 2016, 45: 216-229.
[20] DANIEL G M, CUESTA E, SANCHEZ H P, et al. The use of virtual circles gauge for a quick verification of portable measuring arms[J]. Key Engineering Materials, 2014, 615: 70-75.
[21] MINGUEZ R, ARIAS A, ETXANIZ O, et al. Framework for verification of positional tolerances with a 3D non-contact measurement method[J]. International Journal on Interactive Design and Manufacturing (IJIDeM), 2016, 10(2): 85-93.
[22] CAI Min, WU Zhaotong, GUO Jianping, et al. Tolerance consistence evaluation tool for computer-aided tolerance design--soft gauge[J]. China Mechanical Engineering, 1999, 10(11): 1260-1263. 蔡敏, 吴昭同, 郭建平, 等. 计算机辅助公差设计一致性的评价工具—软件量规[J]. 中国机械工程, 1999, 10(11): 1260-1263.

面向双重最小实体要求的轴件同轴度评定方法

Coaxiality Evaluation Method of Shaft Parts for Double Least Material Requirements

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价

[1]	石嵩, 刘检华, 巩浩, 邵楠. 考虑粗糙表面接触配合的航空发动机多级转子装配误差传递建模[J]. 机械工程学报, 2023, 59(17): 208-219.
[2]	王大伟, 许金鑫, 刘永猛, 白洋, 曾涛, 李正坤, 张钟华, 谭久彬. 能量天平精密无固有力低漏磁电磁阻尼器的设计与应用[J]. 机械工程学报, 2022, 58(4): 269-276.
[3]	王晓慧, 宋方杰, 霍国军, 王友利. 基于最短路径的平面毛坯尺寸基准确定的新方法[J]. 机械工程学报, 2019, 55(1): 172-179.
[4]	黄荣辉,李穆,吕启深. 基于基准态的断路器可靠性分析方法[J]. 电气工程学报, 2017, 12(1): 33-39.
[5]	鲁宇明, 王彦超, 吴竹溪. 具有二重机制的生物地理优化算法及圆柱度误差评定研究^*[J]. 机械工程学报, 2016, 52(24): 80-87.
[6]	单忠德, 张飞, 聂军刚, 任永新. 非接触式缸盖平面度误差检测方法与测量系统研究^*[J]. 机械工程学报, 2016, 52(20): 1-7.
[7]	罗钧, 林于晴, 刘学明, 张平, 周东, 陈建端. 改进蜂群算法及其在圆度误差评定中的应用^*[J]. 机械工程学报, 2016, 52(16): 27-32.
[8]	秦国华, 吴志斌, 叶海潮, 王子琨. 基于层次分析法与定位确定性的工件定位方案规划算法[J]. 机械工程学报, 2016, 52(1): 193-203.
[9]	李穆,卢文华,向冬冬. 输变电设备智能化运维系统研究与应用[J]. 电气工程学报, 2015, 10(7): 71-77.
[10]	汪健生, 王晓, 朱强, 赵云俭. 湍流边界层内钝体扰流的流动与传热特性[J]. 机械工程学报, 2015, 51(24): 168-176.
[11]	郭崇颖, 刘检华, 唐承统, 蒋科, 刘海博. 基于三维凸包的公差基准平面拟合方法[J]. 机械工程学报, 2015, 51(23): 123-132.
[12]	任志英高诚辉, 林有希, 黄健萌. 改进双树复小波在阶跃特征结构表面基准提取中的应用[J]. 机械工程学报, 2015, 51(19): 84-92.
[13]	陈俊华,汤腾跃,马永洲,严利强. 摆动从动件圆锥凸轮理论轮廓展开线曲率半径研究[J]. 机械工程学报, 2015, 51(1): 10-16.
[14]	王晓慧;姚愿伟;王友利. 工艺尺寸路径图的建立与应用[J]. , 2014, 50(19): 199-204.
[15]	任志英;高诚辉;黄健萌. 基于L回归稳健拟合法的气缸套内表面形貌评定[J]. , 2014, 50(17): 99-106.