A new internal meshing gear transmission with curve element is put forward in this paper. The mathematical principle of tooth profile generation is described based on conjugate curves theory. For a given spatial curve, the meshing equation and its conjugated spatial curve under the motion law were derived. Considering the equidistant kinematic method, general internal tooth profiles models were established by the conjugate-curve pair. Numerical example of the internal gear pair was developed according to gear parameters and gear solid models were established by MATLAB and UG software. Motion simulation result shows that the gear pair satisfies point contact condition and design requirements. Meshing analysis of tooth profiles using FEA method was carried out. Stress analysis results of tooth profiles with single point contact and two points contact were, respectively, obtained. The conclusions lay the foundation for multi-point contact generation and tooth profile design. Also, further studies on transmission characteristics and manufacturing technology of the new gear drive will be carried out.

提出了一种新型的带有曲线单元的内啮合齿轮传动装置。基于共轭曲线理论描述了齿廓生成的数学原理。对于给定的空间曲线，推导了运动定律下的啮合方程及其共轭空间曲线。考虑等距运动学方法，通过共轭曲线对建立了一般的内齿轮廓模型。根据齿轮参数开发了内部齿轮副的数值例子，并通过MATLAB和UG软件建立了齿轮实体模型。运动仿真结果表明，该齿轮副满足点接触条件和设计要求。使用FEA方法对齿形进行了网格划分分析。分别获得了单点接触和两点接触的牙齿轮廓的应力分析结果。结论为多点接触产生和齿廓设计奠定了基础。另外，将对新型齿轮传动的传动特性和制造技术进行进一步的研究。