Tooth Surface Generation and Meshing Analysis of New Narrow Herringbone Gear
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摘要: 根据齿轮啮合原理、现代设计理论及方法, 针对人字齿轮的齿形进行探索, 设计了左、右旋齿面交替排列的新型窄人字齿轮, 推导了该齿轮的齿面、接触线、啮合面方程;运用数学分析软件MATLAB、三维设计软件UG与ADAMS虚拟样机软件, 建立了精确的齿轮实体模型, 并进行干涉检查, 计算了轮齿在典型位置的理论接触线, 并与用UG生成的接触线进行了对比分析, 得到了齿轮的接触线变化规律;对窄人字齿轮传动受力情况进行理论分析与仿真, 获得了该齿轮传动的受力特性.结果表明:窄人字齿轮传动重合度与当量斜齿轮一致, 啮合轴向力有波动, 波动幅值比当量斜齿轮轴向力小, 且幅值随重合度的增加而减小.Abstract: Derived from herringbone gear, the narrow herringbone gear is a new kind of transmission.Based on the space mesh principles and the modern design theories and methods, the new-type of narrow herringbone gear, whose left-hand and right-hand tooth surfaces are arranged, has been gained through exploring of herringbone gear tooth profile, and the equations of tooth faces, contact lines and gearing faces of the gear derived.By using Matrix Laboratory and Unigraphics NX, the precise solid model of the gear has been established, and interference check proceeded.Contact lines at representative locations of the gear obtained by MATLAB and UG have been compared, and their changing regularity summarized.Finally, load transfer characteristic has been summarized through theory force analysis and simulation of the gear.The results show that the contact ratio of narrow herringbone gear is the same with its equivalent helical gear and the meshing axial force of the gear is fluctuant, the amplitude of the axial force of the gear is low than the equivalent helical gear, and the amplitude is decrescent with the increase of contact ratio of the gear.
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Keywords:
- narrow herringbone gear /
- tooth face equation /
- contact line /
- force analysis
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