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论文:2020,Vol:38,Issue(4):897-903 |
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引用本文： |
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魏冰阳, 曹雪梅, 邓效忠. 基于多项式拓扑修形的差齿面啮合仿真与解析[J]. 西北工业大学学报 |
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WEI Bingyang, CAO Xuemei, DENG Xiaozhong. Simulation and Analysis on Tooth Meshing Ease-Off Surface of Gears Based on Polynomial Topology Modification[J]. Northwestern polytechnical university |
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| 基于多项式拓扑修形的差齿面啮合仿真与解析 |
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| 魏冰阳1, 曹雪梅1, 邓效忠1,2 |
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1. 河南科技大学 机电工程学院, 河南 洛阳 471003;
2. 机械装备先进制造河南省协同创新中心, 河南 洛阳 471003 |
| 摘要: |
| 基于齿条产成圆柱齿轮时的等切共轭映射原理，采用四阶多项式曲面修形构造ease-off差齿面；提出基于ease-off差齿面的啮合仿真方法，通过解析ease-off差齿面的拓扑结构：修形梯度、差曲线、差程线等特征要素，获取了齿面接触区、接触线、传动误差等轮齿啮合特性，阐述了四阶多项式系数与齿面拓扑结构之间的耦合关系。利用坐标变换，给出了考虑错位量的ease-off曲面分析重构方法。以4种曲面拓扑形式为例，对齿面修形梯度、接触路径、传动误差等性能参数进行了模拟仿真，给出了相应的控形参数与控制方法，达到了对齿面几何控形控性的目的。完善并发展了ease-off差齿面啮合分析方法，为复杂齿面承载接触LTCA、拓扑优化，提供了更加便利有效的手段。 |
| 关键词:
齿条产形
轮齿接触分析
控形
错位量
仿真
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| Simulation and Analysis on Tooth Meshing Ease-Off Surface of Gears Based on Polynomial Topology Modification |
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| WEI Bingyang1, CAO Xuemei1, DENG Xiaozhong1,2 |
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1. School of Mechanical & Electronical Engineering, Henan University of Science & Technology, Luoyang 471003, China;
2. Collaborative Innovation Center of Machinery Equipment Advanced Manufacturing of Henan Province, Luoyang 471003, China |
| Abstract: |
| Based on the principles of common-generating conjugation mapping of pinion-rank-gear meshing, the constructing of ease-off surface has been done by means of the topology modification of the 4-order polynomial surface. The simulation method of tooth surface mesh is purposed based on the ease-off surface. By analyzing topological structure characteristics of ease-off surface such as modification gradient curves, contact line-off and contact path-off, the meshing characteristics such as the contact area, the contact line and transmission error are determined. It is stated on the interaction relations of coefficients of the 4-order polynomial to the topological construction of surface. The methods for reconstruction and analysis of ease-off surface with considering axis misalignments are presented by the direct transformation of coordinate systems. Taking the topological construction of four kinds of surfaces as examples, characteristics parameters such as modification gradient of tooth surface, contact path and transmission errors are simulated. They are expounded on the corresponding parameters of controlling form and adjusting methods for tooth surface. These methods take goals of adjusting-modification and controlling-property for tooth surface mesh. It is improved and developed the meshing analysis method of ease-off surface of tooth. The presented method is liable to provide the basis data for the further loaded contact analysis of complicated tooth surface and the more direct technical for the 3-D topological optimization of tooth surface. |
| Key words:
rank generating
tooth contact analysis
modification control
axis misalignments
simulation
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| 收稿日期: 2019-09-20
修回日期:
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| DOI: 10.1051/jnwpu/20203840897 |
| 基金项目: 国家自然科学基金（51875714）及河南省自然科学基金（182300410225）资助 |
| 通讯作者:
Email： |
| 作者简介: 魏冰阳(1966-),河南科技大学教授,主要从事高性能齿轮数字化设计与制造及齿轮传动动力学仿真研究。
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