克林根贝格制准双曲面齿轮边缘承载接触分析
Contact Analysis of Edge Loaded Tooth for Klingelnberg Hypoid Gears

以克林根贝格Cyclo-palloid制准双曲面齿轮为研究对象，提出了其边缘接触的几何分析方法，确定了边缘接触点，并采用数值方法进行搜索，确定了边缘接触位置接触椭圆长轴的方向和长度，即该位置两齿面间的相对主曲率方向和所有可能接触点。建立了包括边缘接触的承载接触分析数学模型，采用基于有限元柔度矩阵的非线性规划法精确求解了边缘承载接触问题，通过与已有算例的对比分析，验证了本方法的可行性，并给出了仿真示例。
An accurate and convenient edge tooth contact analysis methodology of Klingelnberg Cyclo-palloid hypoid gears is developed, by which the contact points on tooth edges and the long axis direction and length of contact ellipses could be determined. The main directions between two tooth surfaces and all the possible contact points were then obtained with MATLAB. A mathematical model for contact analysis(LTCA) considered edge loading is put forward. Finally, the loaded tooth edge contact problem is resolved successfully. The feasibility and reliability of the present method is verified with analyzing the existing examples, and a simulation example is given. The present edge tooth contact analysis methodology can used as a basis for developing a general technique of edge tooth contact analysis for hypoid gears, spiral bevel gears and other gear types