基于虚拟碰撞体的弧齿锥齿轮网格实体构建算法

doi:10.16182/j.issn1004731x.joss.19-0656

系统仿真学报 ›› 2021, Vol. 33 ›› Issue (4): 837-844.doi: 10.16182/j.issn1004731x.joss.19-0656

基于虚拟碰撞体的弧齿锥齿轮网格实体构建算法

李承恩, 邹湘军^*, 曾泽钦, 何建华, 李慧, 黄钊丰

华南农业大学工程学院,广东广州 510642

收稿日期:2019-12-17 修回日期:2020-02-16 出版日期:2021-04-18 发布日期:2021-04-14
通讯作者: 邹湘军(1957-),女,博士,教授,研究方向为农业机器人与机器视觉、虚拟现实与仿真。E-mail：xjzou1@163.com
作者简介:李承恩(1996-),男,硕士,研究方向为虚拟现实。E-mail：976849268@qq.com
基金资助:
国家重点研发计划(2017YFD0700100)

Mesh Solid Construction Algorithm of Spiral Bevel Gear Based on Virtual Collision Body

Li Cheng'en, Zou Xiangjun, Zeng Zeqin, He Jianhua, Li Hui, Huang Zhaofeng

College of Engineering, South China Agricultural University, Guangzhou 510642, China

Received:2019-12-17 Revised:2020-02-16 Online:2021-04-18 Published:2021-04-14

摘要/Abstract

摘要： 为提升拖拉机后桥生产自动化、智能化水平和生产效率,构建了基于虚拟碰撞体的弧齿锥齿轮网格实体进行拖拉机后桥人机交互虚拟仿真试验。结合格里森制弧齿锥齿轮加工过程,分析圆弧直齿轮的加工工艺,运用运动学建立弧齿锥齿轮成型工艺的数学模型;运用微分法和插值法对齿轮曲线和曲面进行拟合,求解出弧齿锥齿轮轮廓点集,构建弧齿锥齿轮的网格实体和碰撞体,并使用曲率检验对网格实体的轮廓精度进行验证。结果表明：该算法能准确地拟合格里森制弧齿锥齿轮的轮廓。

关键词: Unity3D, 格里森制弧齿锥齿轮, 虚拟碰撞体, 虚拟装配

Abstract: In order to improve the production automation, intelligence level and production efficiency of the tractor rear axle, the spiral bevel gear mesh entity based on the virtual collision body is constructed to carry out the human-machine interaction virtual simulation experiment of the tractor rear axle. The spiral bevel gear made by Gleason as is taken an example, the processing technology of arc spur gear is analyzed, the kinematics is used to establish a mathematical model of the spiral bevel gear forming process. The differential and interpolation methods are used to fit the gear curve and surface, the contour point set of the spiral bevel gear is solved, the mesh entity and collision body of the spiral bevel gear are constructed, and the contour accuracy of the mesh entity is verified by the curvature test. The results show that the algorithm can accurately fit the contour of Gleason spiral bevel gears.

Key words: unity3D, gleason spiral bevel gear, virtual collision body, virtual assembly

中图分类号:

TP391

李承恩, 邹湘军, 曾泽钦, 何建华, 李慧, 黄钊丰. 基于虚拟碰撞体的弧齿锥齿轮网格实体构建算法[J]. 系统仿真学报, 2021, 33(4): 837-844.

Li Cheng'en, Zou Xiangjun, Zeng Zeqin, He Jianhua, Li Hui, Huang Zhaofeng. Mesh Solid Construction Algorithm of Spiral Bevel Gear Based on Virtual Collision Body[J]. Journal of System Simulation, 2021, 33(4): 837-844.

参考文献

[1] 邹湘军, 孙健, 何汉武, 等. 虚拟现实技术的演变发展与展望[J]. 系统仿真学报, 2004, 16(9): 1905-1909.
Zou Xiangjun, Sun Jian, He Hanwu, et al.The Development and Prospects of Virtual Reality[J]. Journal of System Simulation, 2004, 16(9): 1905-1909.
[2] 李小清. 螺旋锥齿轮数控加工与误差修正技术研究[D]. 武汉: 华中科技大学, 2004.
Li Xiaoqing.Research on the NC Machining and Error Correcting Technology for Spiral Bevel and Hypoid Gears[D]. Wuhan: Huazhong University of Science and Technology, 2004.
[3] Zou X, Zou H, Lu J.Virtual Manipulator-based Binocular Stereo Vision Positioning System and Errors Modelling[J]. Machine Vision & Applications (S0932-8092), 2012, 23(1): 43-63.
[4] Luo L, Tang Y, Zou X, et al.Vision-based Extraction of Spatial Information in Grape Clusters for Harvesting Robots[J]. Biosystems Engineering (S1537-5110), 2016, 151: 90-104.
[5] Tang Y, Li L, Wang C, et al.Real-time Detection of Surface Deformation and Strain in Recycled Aggregate Concrete-filled Steel Tubular Columns Via Four-ocular Vision[J]. Robotics and Computer Integrated Manufacturing (S0736-5845), 2019, 59: 36-46.
[6] 陈燕, 曾泽钦, 王杰, 等. 收获机虚拟环境模型与仿真平台构建[J]. 农业机械学报, 2019, 50(7): 159-166.
Chen Yan, Zeng Zeqin, Wang Jie, et al.Virtual Environment Construction and Simulation Platform of Harvesting Machinery[J]. Transactions of the Chinese Society for Agricultural Machinery, 2019, 50(7): 159-166.
[7] 孟立辉, 庞立江. 等顶隙收缩齿弧齿锥齿轮NX6.0参数化建模[J]. CAD/CAM与制造业信息化, 2012(11): 70-73.
Meng Lihui, Pang Lijiang.Parametric Modeling of Bevel Gear with Arc Teeth with Equal Top Gap Shrinkage Teeth NX6.0[J]. CAD/CAM Yu Zhizaoye Xinxihua, 2012(11): 70-73.
[8] 朱忠祥, 陈莉, 李山山, 等. 基于虚拟现实的联合收获机底盘虚拟装配关键技术[J]. 农业机械学报, 2013, 44(增2): 262-267.
Zhu Zhongxiang, Chen Li, Li Shanshan, et al.Critical Techniques of Virtual Assembly for Combine Harvester Chassis Based on Virtual Reality[J]. Transactions of the Chinese Society for Agricultural Machinery, 2013, 44(S2): 262-267.
[9] 李山山, 宋正河, 陈越洋, 等. 农业机械底盘机械式变速箱虚拟装配[J]. 农业机械学报, 2012, 43(增1): 318-322.
Li Shanshan, Song Zhenghe, Chen Yueyang, et al.Virtual Assembly for Mechanical Gearbox of Agricultural Chassis[J]. Transactions of the Chinese Society for Agricultural Machinery, 2012, 43(S1): 318-322.
[10] 刘继峰. 基于CATIA和Adams的汽车主减速器弧齿锥齿轮参数化设计与研究[D]. 武汉: 武汉理工大学, 2011.
Liu Jifeng.The Parametric Design and Research of Final Drive Spiral Bevel Gear Based on Catia and Adams[D]. Wuhan: Wuhan University of Technology, 2011.
[11] 魏巍, 郭晨, 段晓东. 虚拟装配中基于公差约束的碰撞检测方法研究[J]. 系统仿真学报, 2013, 25(3): 466-473, 479.
Wei Wei, Guo Chen, Duan Xiaodong.Research on Tolerance Constraint-based Collision Detection Method in Virtual Assembly[J]. Journal of System Simulation, 2013, 25(3): 466-473, 479.
[12] 熊杨寿. 基于LTCA的弧齿锥齿轮修形技术研究[D]. 合肥: 合肥工业大学, 2013.
Xiong Yangshou.Research on the Theory of Profile Modification in Spiral Bevel Gear Based on Loaded Tooth Contact Analysis Technology[D]. Hefei: Hefei University of Technology, 2013.
[13] 纪振海, 段建中, 谷计划. 基于OpenGL的渐开线弧齿锥齿轮三维参数化建模[J]. 工程设计学报, 2009, 16(6): 432-435.
Ji Zhenhai, Duan Jianzhong, Gu Jihua.OpenGL-based 3D Parameterization Model for Involute Spiral Bevel Gear[J]. Journal of Engineering Design, 2009, 16(6): 432-435.
[14] 宗亚东, 王得胜, 李朝红. 弧齿锥齿轮参数化建模方法研究[J]. 机械, 2012, 39(12): 58-61.
Zong Yadong, Wang Desheng, Li Zhaohong.The Study of Parametric Modeling Method of Spiral Bevel Gears[J]. Machinery, 2012, 39(12): 58-61.
[15] 张志贤, 刘检华, 宁汝新. 虚拟装配中的装配约束实现技术研究[J]. 系统仿真学报, 2011, 23(9): 1878-1883, 1888.
Zhang Zhixian, Liu Jianhua, Ning Ruxin.Research on Assembly Constraint Realization Technology in Virtual Assembly[J]. Journal of System Simulation, 2011, 23(9): 1878-1883, 1888.
[16] 王伟, 刘伟, 迟岩, 等. 基于Pro/E的弧齿锥齿轮参数化建模[J]. 机电技术, 2010, 33(1): 59-62.
Wang Wei, Liu Wei, Chi Yan, et al.Parametric Modeling of Bevel Gear with Arc Teeth based on Pro/E[J]. Mechanical & Electrical Technology, 2010, 33(1): 59-62.
[17] 王高升, 游红. 基于虚拟样机技术的双圆弧弧齿锥齿轮数字化设计与制造[J]. 湖南工程学院学报(自然科学版), 2013, 23(1): 35-37.
Wang Gaosheng, You Hong.Digital Design and Manufacture of Double Arc Bevel Gear based on Virtual Prototype Technology[J]. Journal of Hunan Institute of Engineering (Natural Science Edition), 2013, 23(1): 35-37.
[18] 王洪申, 汪勇, 汪雨蓉. 三维自由曲线的相似性比较算法[J]. 机械设计, 2019, 36(11): 35-37.
Wang Hongshen, Wang Yong, Wang Yurong.Similarity Comparison Algorithm of 3D Free Curves[J]. Mechanical Design, 2019, 36(11): 35-37.

基于虚拟碰撞体的弧齿锥齿轮网格实体构建算法

Mesh Solid Construction Algorithm of Spiral Bevel Gear Based on Virtual Collision Body

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