Interference Detection Method on Stationary Internal Toroidal Gear Based on Discrete Model

Abstract

Abstract: An interference detection method was put forward to effectively solve the problems of machining local and global interference phenomenons on stationary internal toroidal gear tooth surfaces. The introduction to interference detection plan clusters and the structure of interference detection line clusters were to obtain stationary internal toroidal gear tooth surface and tool scanning body discretization model. By using stationary internal toroidal gear tooth surface and tool scanning body discretization model, and through solving the cutting plane tool centers, stationary internal toroidal gear tooth surface machining local and global interference areas were determined. And through the example analyses, the feasibility of machining interference detection method of stationary internal toroidal gear tooth surface was further verified.

Key words: toroidal drive;stationary internal toroidal gear;complex surface;interference detection, discrete modeling

摘要： 针对内超环面齿轮齿面加工局部和全局干涉现象，提出一种干涉检验方法，有效地避免了加工干涉。通过干涉检验面簇的引入和干涉检验线簇的构造，将内超环面齿轮齿面和刀具扫掠体离散化。运用内超环面齿轮齿面和刀具扫掠体离散模型，通过截平面处刀具中心的求解，确定内超环面齿轮齿面加工局部和全局干涉区域。通过实例分析进一步验证了内超环面齿轮齿面加工干涉检验方法的可行性。

关键词: 超环面行星蜗杆传动, 内超环面齿轮, 复杂曲面, 干涉检验, 离散建模

CLC Number:

TH132

HONG Mei;YAO Ligang. Interference Detection Method on Stationary Internal Toroidal Gear Based on Discrete Model[J]. China Mechanical Engineering.

洪玫;姚立纲. 基于离散模型的内超环面齿轮干涉检验方法[J]. 中国机械工程.

References

[1]洪玫, 姚立纲.超环面行星蜗杆传动系统研究进展与展望[J].机械传动,2013,37(6):129-132.
HONG Mei, YAO Ligang. Study Current State and Prospect of the Toroidal Planet Worm Drive System[J]. Mechanical Transmission,2013,37(6):129-132.

[2]DING X M, FUH J, LEE K S. Interference Detection for 3-axis Mold Machining[J].Computer-aided Design, 2001,33(8):561-569.

[3]李艳霞, 李科艳.基于数控仿真的刀具干涉验证算法研究[J].制造技术与机床,2010(8):28-31.
LI Yanxia, LI Keyan. Research on Tool Interference Verification Algorithm Based on NC Simulation[J]. Manufacturing Technology & Machine Tool,2010(8):28-31.

[4]DING S, MANNAN M A, POO A N.Oriented Bounding Box and Octree Based Global Interference Detection in 5-axis Machining of Free-form Surfaces[J]. Computer-aided Design,2004,36(13):1281-1294.

[5]曾志迎, 贾育秦, 袁金鹏, 等. 复杂曲面的五轴加工无干涉刀具路径生成技术研究[J]. 组合机床与自动化加工技术,2012(10):5-9.
ZENG Zhiying, JIA Yuqin, YUAN Jinpeng, et al. Research on Gauging-free Cutter Path Generation Technology of Complex Surfaces[J]. Modular Machine Tool & Automatic Manufacturing Technique,2012(10):5-9.

[6]李万军,赵东标,牛敏,等.五轴加工全局干涉检查及其避免[J].计算机集成制造系统,2011,17(5):1011-1015.
LI Wanjun, ZHAO Dongbiao, NIU Min, et al. Global Tool Interference Check and Avoidance in Five-axis Numerical Control Machining[J]. Computer Integrated Manufacturing Systems,2011,17(5):1011-1015.

[7]杜娟, 闫献国, 田锡天. 复杂曲面五轴加工局部干涉处理技术研究[J].图学学报,2012,33(1):113-120.
DU Juan, YAN Xianguo, TIAN Xitian. Local Interference Detection and Avoidance in Five-axis Machining of Complex Surfaces[J]. Journal of Graphics,2012,33(1):113-120.

[8]王国勋, 舒启林, 王军, 等. 复杂曲面五轴加工干涉检查的研究[J].中国机械工程,2014,25(3):299-303.
WANG Guoxun, SHU Qilin, WANG Jun, et al. Tool Interference Checking for Five Axis NC Machining of Sculptured Surfaces[J]. China Mechanical Engineering,2014,25(3):299-303.
[9]CAN A, UNUVAR A. A Novel Iso-scallop Tool-path Generation for Efficient Five-axis Machining of Free-form Surfaces[J]. International Journal of Advanced Manufacturing Technology,2010,51(9/12):1083-1098.
[10]MAKHANOV S S. Adaptable Geometric Patterns for Five-axis Machining: a Survey[J]. International Journal of Advanced Manufacturing Technology,2010,47(9/12):1167-1208.
[11]JUN C S, CHA K, LEE Y S. Optimizing Tool Orientations for 5-axis Machining by Configuration-space Search Method[J]. Computer-aided Design,2003,35(6):549-566.
[12]RAO A, SARMA R. On Local Gouging in Five-axis Sculptured Surface Machining Using Flat-end Tools[J]. Computer-aided Design,2000,32(7):409-420.
[13]洪玫, 姚立纲. 基于数值方法的内超环面齿轮齿廓离散建模[J].图学学报,2013,34(4):88-93.
HONG Mei, YAO Ligang.Discrete Modeling of the Tooth Profile of the Stationary Internal Toroidal Based on Numerical Method[J]. Journal of Graphics,2013,34(4):88-93.
[14]洪玫．超环面行星蜗杆传动齿廓几何建模与基于误差和弹性变形的啮合特性分析[D]．福州:福州大学，2014.
HONG Mei. Tooth Profile Geometry Modeling and Meshing Characterictic Analysis Based on the Errors and Elastic Deformation for the Toroidal Drive[D]. Fuzhou: Fuzhou University,2014.

[1]	QIAO Guan, CHEN Jiaqi, TANG Shufeng, LIU Guoqiang, LIU Geng. A Review of Thermal Characteristics for Planetary Roller Screw Mechanisms [J]. China Mechanical Engineering, 2026, 37(1): 162-173.
[2]	Yangyi XIAO, Yi ZHANG, Runyang SUN, Yongtao YIN, Shaojie PAN, Zhenhua ZHU. Development and Applications of Precision Heavy Duty Reducers for Double Rotating Shaft Mechanisms in Large Wind Tunnels [J]. China Mechanical Engineering, 2025, 36(10): 2423-2432.
[3]	Chenfan JIA, Huaiju LIU, Caichao ZHU, Taimin CHEN, Jinxiao CHEN. An Aviation Gear Bulk Temperature Prediction Method and Verification Research Based on CatBoost [J]. China Mechanical Engineering, 2025, 36(08): 1658-1667.
[4]	Jinzhan SU, Yaoke FENG, Bin LIU, Xinlong CAO, Linlin SUN. Analysis and Optimization of Meshing Performance of Straight Bevel Gears Machined by Dual Interlocking Circular Cutters [J]. China Mechanical Engineering, 2025, 36(08): 1683-1690.
[5]	Siqi LIU, Peitang WEI, Rui HU, Xuesong DU, Li LUO, Caichao ZHU, Pengliang ZHOU. Statistical Analysis of Planetary Roller Screw Thread Machining Errors and Comparative Study at Home and Abroad [J]. China Mechanical Engineering, 2025, 36(08): 1713-1727.
[6]	Qingwang ZHU, Jing ZHANG, Faxiang XIE, Zhonggang ZHU, Jianyu GUO, Houlin YAN. Design and Experimental Research of RV Reducer Main Bearing Test Benches [J]. China Mechanical Engineering, 2025, 36(08): 1749-1756.
[7]	XU Yang, ZU Li, LI Weilong, LIU Xiaoling, HE Jianliang, LIU Jun. Prediction of Frictional Torques of Planetary Roller Screw Pairs Based on Random Forest Algorithm [J]. China Mechanical Engineering, 2025, 36(07): 1505-1511.
[8]	YANG Yu1, 2, LI Xiaolei2, TAO Yourui1, 2, GUO Qiyu1, 2, YE Nan1, 2. Accelerated Load Spectrum Preparation for RV Reducer Service Conditions [J]. China Mechanical Engineering, 2025, 36(06): 1170-1177.
[9]	LI Guangjun1, 2, MA Jing1, 2, DUAN Hong1, 2, HU Xiwen1, 2, XU Lei1, 2, MAO Shimin3, PENG Xianlong4. Numerical Rolling Tests of Actual Measured Tooth Surfaces for Oversized Face Gears [J]. China Mechanical Engineering, 2025, 36(05): 1008-1017.
[10]	TAO Dehua1, WANG Ying2, CAO Zhenxin1, LI Ning1, HU Liguang1, XUAN Zhongyi1, JIANG Hongkui1. Analysis of Transmission Characteristics of Multi-stage Denatured Pascal Worm Gears [J]. China Mechanical Engineering, 2025, 36(03): 475-482.
[11]	WU Shi, GAO Zengkuo, WANG Mingzhu, ZHAO Chengrui. Influences of Fractal Features of Helical Gear Surface Topography on Time-varying Contact Stiffness [J]. China Mechanical Engineering, 2025, 36(01): 59-68,77.
[12]	WANG Qin1, HE Di1, XUE Jianhua2, PENG Jin3, FAN Zijie1. Optimal Design of Face-hobbed Hypoid Gear Meshing Efficiency in Drive Axles [J]. China Mechanical Engineering, 2024, 35(11): 1920-1927，1937.
[13]	LIU Guiyuan1, WANG Zeng2, YANG Ziyi2, HU Mingzhu1, LIU Huaiju1. Development and Applications of Aero-engine Accessory Gearbox Gear Transmission Design and Analysis Softwares [J]. China Mechanical Engineering, 2024, 35(11): 1938-1947.
[14]	WEI Rui1, JIN Herong1, 2, 3, YANG Zeyu1, CHEN Tao1, YI Yali1. Research on Geometric Parameter Constraints of Swing Roller Movable Tooth Transmission Systems [J]. China Mechanical Engineering, 2024, 35(10): 1722-1731,1739.
[15]	WU Ruo, WEI Peitang, XIE Huaijie, BIAN Jiang, LU Zehua, LIU Huaiju. Contact Fatigue Performance of PEEK under Oil-injected Lubrication [J]. China Mechanical Engineering, 2024, 35(02): 221-228.