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基于空间点阵的齿轮精确修形方法

Accurate Modification Method of Gears Based on Spatial Lattice
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摘要 齿轮修形是改善啮合状态、提高传动精度和效率的一种重要工程技术,但现有的齿轮修形方式和工具性软件难以确保修形的齿面几何质量和效率。因此,提出了一种空间点阵的齿轮修形方法。首先,根据修形精度要求,将齿轮的齿面离散为规则空间点阵,并将修形量映射到对应的空间点上,再将调整后的空间点阵构建成规则的二次B样条曲线;然后,通过优化网格曲线,得到修形后的齿面,并自适应更新整个齿轮三维模型的齿面;最后,将该方法无缝集成到三维设计软件NX平台上,开发了齿轮精确修形设计系统。实例证明,该方法通过修形位置和修形量的双重控制,实现了齿面的精确修形,获得了高质量齿廓曲面,在保证精度的同时提高了齿轮修形的高效性和实用性。 Gear modification is an important technology in improving the meshing state,transmission accu-racy and efficiency.However the existing modification methods and instrumental softwares are difficult to ensure the geometric quality and efficiency of gear modification.Therefore,a new gear modification method based on spatial lattice is proposed in this study.Firstly,according to the requirements of modification accuracy,the gear surface is discretized into regular spatial lattice,and the modification amount is mapped to the corresponding spatial point.The adjusted spatial lattice is then constructed into regular quadratic B-spline curves.Then,the modified gear surface is obtained by optimizing the mesh curve,and the new gear surface of the whole gear 3D model is updated adaptively.Finally,the method is seamlessly integrated into the 3D design software NX plat-form,and a gear accurate modification design system is developed.The result of the example shows that the method realizes the precise modification of the gear surface through the dual control of the modification position and the modification amount,and the high-quality gear profile surface is obtained,which improves the efficien-cy and practicality of the gear modification while ensuring the accuracy.
作者 张孝迪 李贵 梁仁杰 丁子舾 彭钦銮 Zhang Xiaodi;Li Gui;Liang Renjie;Ding Zixi;Peng Qinluan(Key Laboratory of Metallurgical Equipment and Control Technology of the Ministry of Education,Wuhan University of Science and Technology,Wuhan 430081,China;Hubei Key Laboratory of Mechanical Transmission and Manufacturing Engineering,Wuhan University of Science and Technology,Wuhan 430081,China;Precision Manufacturing Institute,Wuhan University of Science and Technology,Wuhan 430081,China)
出处 《机械传动》 北大核心 2024年第3期140-146,共7页 Journal of Mechanical Transmission
基金 国家自然科学基金项目(51875418)。
关键词 齿轮修形 空间点阵 样条曲线 网格曲面 Gear modification Spatial lattice Spline curve Mesh surface
作者简介 张孝迪(1996—),男,河南许昌人,硕士研究生,主要研究方向为机械产品数字化智能设计技术,zhangxd0413@163.com。;通信作者:李贵(1983—),男,湖南衡阳人,博士,副教授,主要研究方向为机械产品数字化智能设计技术,leegui2030@wust.edu.cn。
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