A Null-Coupling Complete Error Model in Gear Hobbing and Error Prediction

doi:10.7652/xjtuxb201610007

您当前的位置：

首页 >

文章列表页 >

A Null-Coupling Complete Error Model in Gear Hobbing and Error Prediction

更新时间：2025-07-09

- A Null-Coupling Complete Error Model in Gear Hobbing and Error Prediction
- Vol. 50, Issue 10, Pages: 42-48+85(2016)
- 作者机构：
  
  1. 西安交通大学机械工程学院,西安,710049
  2. 西安交通大学机械制造系统工程国家重点实验室,西安,710049
- 作者简介：
- 基金信息：
- DOI：10.7652/xjtuxb201610007
  CLC： TP391.9
- Online First：10 October 2016，
  
  Published：2016
- 稿件说明：
移动端阅览
A Null-Coupling Complete Error Model in Gear Hobbing and Error Prediction[J]. 2016, 50(10): 42-48+85.
DOI：

A Null-Coupling Complete Error Model in Gear Hobbing and Error Prediction[J]. 2016, 50(10): 42-48+85. DOI： 10.7652/xjtuxb201610007.

摘要

为了降低滚齿全误差模型的求解难度

建立了机床误差模型与工件加工精度之间的映射关系

同时对滚齿加工误差进行准确辨识与预测

提出了一种将滚齿全误差模型分解为两个完全独立的子模型并进行协同计算的方法

可以提高滚齿全误差模型在误差辨识、预测中的可操作性。利用齐次坐标变换建立机床误差传递模型

依据共轭曲面的空间啮合特性

对滚齿加工理论齿廓进行了精确计算。利用齿廓误差的折算方法

将机床误差参量折算成齿廓误差

从而得到实际加工齿廓

通过对比

即可得到齿形、齿向、齿距等误差值

从而建立起了机床各误差参量与齿轮加工误差之间的完整映射关系。进一步在滚刀存在偏心的情况下进行直齿滚切实验

并将齿轮检测结果与文中模型的预测结果进行对比

表明该模型的计算结果与检测结果高度契合(相对误差≤5%)

充分说明了该模型的正确性与实用性。滚齿加工误差的准确辨识与预测也使滚齿加工虚拟化成为可能

为构建机床信息物理系统模型和实现预测式制造提供了重要的技术支撑。

Abstract

To reduce the complexity of gear hobbing error model

establish a mapping relationship between the machine tool error model and the machining precision

and accurately identify and predict gear hobbing error

a method is proposed where the complete error model of gear hobbing is divided into two completely independent submodels for cooperative computing

and the maneuverability of the error model for gear hobbers is improved for engineering application. The deviations in transmission model are evaluated by homogeneous coordinate transformation. Following the space meshing principle of the conjugate surfaces in gear hobbing

the ideal tooth surface functions are calculated. By means of tooth profile conversion

the profile error of gear tooth from the deviations in transmission model and the actual tooth profile are obtained. The errors of gear profile

lead and index can be obtained through comparison. The complete mapping relationship between the machine tool error and the machining error is thus established. A hobbing experiment of a spur gear with hob eccentric error shows that the prediction from this model and detection from the experiment coincide well

verifying the correctness and availability of this model

and the relative error is no more than 5%. The accurate error identification and prediction make virtualization for gear hobbing possible

and provide significant technical support for the construction of machine tool cyber-physical system to realize of predictable manufacturing.

关键词

Keywords

references

杨建国. 数控机床误差综合补偿技术及应用 [D]. 上海: 上海交通大学, 1998: 1-8.

黄强, 张根宝, 张新玉. 滚齿直接误差模型的建立与应用 [J]. 系统仿真学报, 2009, 21(17): 5589-5593.

HUANG Qiang, ZHANG Genbao, ZHANG Xinyu. Building and application of direct error model for gear hobbing [J]. Journal of System Simulation, 2009, 21(17): 5589-5593.

粟时平, 李圣怡, 王贵林. 多轴数控机床的通用运动学综合空间误差模型 [J]. 国防科技大学学报, 2001, 23(4): 45-50.

SU Shiping, LI Shengyi, WANG Guilin. A universal synthesis volumetric error model of multi-axis NC machine tool based on kinematics [J]. Journal of National University of Defense Technology, 2001, 23(4): 45-50.

刘又午, 章青, 赵小松, 等. 基于多体理论模型的加工中心热误差补偿模型 [J]. 机械工程学报, 2002, 38(1): 127-130.

LIU Youwu, ZHANG Qing, ZHAO Xiaosong, et al. Multi-body system-based technique for compensating thermal errors in machining centers [J]. Chinese Journal of Mechanical Engineering, 2002, 38(1): 127-130.

CHEN J H, YANG J Z, ZHOU H C, et al. CPS modeling of CNC machine tool work processes using an instruction-domain based approach [J]. Engineering, 2015, 1(2): 247-260.

BAFHERI B, YANG S H, KAO H A, et al. Cyber-physical systems architecture for self-aware machines in industry 4.0 environment [J]. IFAC PapersOnLine, 2015, 48(3): 1622-1627.

CHANG S L, TSAY C B, NAGATA S. A general mathematical model for gears cut by CNC hobbing machines [J]. ASME Journal of Mechanical Design, 1997, 119(1): 108-113.

郭前建. 数控滚齿机几何误差与热误差实时补偿技术研究 [D]. 上海: 上海交通大学, 2008: 26-44.

王时龙, 杨勇, 周杰, 等. 大型数控滚齿机热误差补偿建模 [J]. 中南大学学报(自然科学版), 2011, 42(10): 3066-3072.

WANG Shilong, YANG Yong, ZHOU Jie, et al. Modeling of thermal error compensation of large-scale numerical control gear hobbing machine [J]. Journal of Central South University(Science and Technology), 2011, 42(10): 3066-3072.

王时龙, 祁鹏, 周杰, 等. 数控滚齿机热变形误差分析与补偿新方法 [J]. 重庆大学学报, 2011, 34(3): 13-17.

WANG Shilong, QI Peng, ZHOU Jie, et al. Thermal deformation error analysis and a novel compensation method for NC gear hobbing machine tools [J]. Journal of Chongqing University, 2011, 34(3): 13-17.

杨勇, 王时龙, 周杰, 等. 基于自动编程系统的大型滚齿机热误差补偿 [J]. 计算机集成制造系统, 2013, 19(3): 569-576.

YANG Yong, WANG Shilong, ZHOU Jie. Thermal error compensation of large-scale numerical control gear hobbing machine based on the automatic programming [J]. Computer Integrated Manufacturing Systems, 2013, 19(3): 569-576.

杨勇. 大型数控滚齿机加工误差及补偿研究 [D]. 重庆: 重庆大学, 2012: 127-143.

商向东. 齿轮加工精度 [M]. 北京: 机械工业出版社, 1999: 85-119.

吴焱明, 陶晓杰. 齿轮数控加工技术的研究 [M]. 合肥: 合肥工业大学出版社, 2005: 81-96.

吴序堂. 齿轮啮合原理 [M]. 2版. 西安: 西安交通大学出版社, 2009: 126-172.

陈永鹏. 高速干切滚齿多刃断续切削空间成形模型及其基础应用研究 [D]. 重庆: 重庆大学, 2015: 73-75.

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Prediction of Machining Error for Machine Tool Multi-Body System Restrained by Stiffness Field

A Trajectory Error Prediction Method Considering Geometric Errors and Tracking Errors for Five-Axis Machine Tools

Bi-Level Multi-Obj ective Optimization of a Wind-Solar Coupled Hydrogen Production System Based on the Synergy of Hybrid Electrolyzer Arrays

Turbulent Kinetic Energy Dissipation Mechanism of Supercritical Carbon Dioxide Leakage Flow in a Scallop Bionic Seal Cavity

Influence of Structural Parameters on the Summer Operational Characteristics of a Three-Tower-in-One Indirect Air-Cooling System

Related Author

高羡明 1

洪军 1

甄宜超 2

吕盾

罗世有

王大伟

汤洪涛

赵万华

Related Institution

State Key Laboratory for Manufacturing System Engineering, Xi'an Jiao tong University

⁰