非对称齿廓渐开线斜齿圆柱齿轮的齿形设计及啮合分析  

Tooth profile design and meshing analysis on a helical gear with asymmetric involute teeth

作　　者：李宁[1] 李威[1] 韩建友[1] 刘宁[1] 

机构地区：[1]北京科技大学机械工程学院,北京100083

出　　处：《北京科技大学学报》2011年第7期876-882,共7页Journal of University of Science and Technology Beijing

基　　金：国家自然科学基金资助项目(No.50575021);北京科技大学冶金研究基金资助项目(No.YJ2010-007)

摘　　要：为了提高齿轮的传动性能和承载能力,提出一种新型的非对称渐开线斜齿圆柱齿轮.设计了用于加工非对称渐开线斜齿轮的齿条型刀具,分析了齿条型刀具与齿轮之间的参数关系.建立了非对称斜齿轮端面、法面、轴面的齿廓方程以及沿齿轮轴向的螺旋曲面方程,研究了非对称斜齿轮对的啮合关系,并推导了进行内、外啮合非对称渐开线斜齿轮的共轭齿轮的坐标变换矩阵.以文中分析的斜齿轮参数关系为基础,通过三维软件建立了参数化的非对称渐开线斜齿圆柱齿轮三维模型,验证了本文所创建的数学模型和理论分析的正确性.A new kind of helical gear with asymmetric involute teeth was proposed in order to improve the transmission performance and bearing capacity.A rack cutter was designed for manufacturing the gear.The parameter relationship between the rack cutter and the gear was analyzed.Tooth profile equations of the gear＇s transverse section,normal section and axial section were discussed and a helicoids equation along the axial was derived.The meshing theory of the gear pair was studied,and the internal and external meshing coordinate transition matrices of conjugate tooth profiles for the gear were deduced.Based on the parameter relationship of the gear,three-dimensional software was used to build a parameterized three-dimensional model of the gear,which verified the correctness of the mathematical model and theoretical analysis.

关 键 词：斜齿轮 齿轮齿 啮合 数学模型 

分 类 号：TH132.413[机械工程—机械制造及自动化]