Purpose

The purpose of this paper is to obtain the single-tooth stiffness, single-tooth time-varying meshing stiffness and comprehensive meshing stiffness of the internal and external face gears and to analyze the influence of the modulus, pressure angle and tooth width of each face gear on the single-tooth stiffness of the gear in nutation face gear transmission.

Design/methodology/approach

From the point of view of material mechanics, the gear teeth of nutation face gear are simplified as spacial variable cross-section beams. The shear deformation of gear teeth, the bending deformation of tooth root and the additional elastic deformation caused by the base deformation are gotten by simplified trapezoidal section method, thus the stiffness of nutation face gear teeth can be obtained. The comparison with finite element method results verifies the rationality of simplified trapezoidal section method for calculating the tooth stiffness of nutation face gear.

Findings

The variation of stiffness of internal and external face gears along the meshing line and tooth height in nutation face gear transmission is studied, and the variation laws of single tooth stiffness, single-tooth-pair mesh stiffness and single tooth time-varying meshing stiffness of nutation face gear teeth are obtained.

Originality/value

Nutation face gear transmission is a new type of transmission. The stiffness of face gear teeth is analyzed, and the variation rules of single tooth stiffness, single-tooth-pair mesh stiffness and single tooth time-varying meshing stiffness of nutation face gear teeth are obtained, which not only enriches the research of nutation face gear transmission but also has important guiding significance for the application of nutation face gear in engineering practice.

中文翻译：

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章动面齿轮齿刚度分析

目的

本文的目的是获得内外端面齿轮的单齿刚度、单齿时变啮合刚度和综合啮合刚度，并分析各面的模量、压力角和齿宽的影响。齿轮对章动面齿轮传动中齿轮的单齿刚度的影响。

设计/方法/方法

从材料力学的角度，章动面齿轮的轮齿简化为空间变截面梁。轮齿的剪切变形、齿根的弯曲变形和基部变形引起的附加弹性变形通过简化梯形截面法得到，从而得到章动面轮齿的刚度。与有限元法结果的对比验证了简化梯形截面法计算章动面齿轮齿刚度的合理性。

发现

研究了章动面齿轮传动中内外面齿轮刚度沿啮合线和齿高的变化规律，研究了单齿刚度、单齿副啮合刚度和单齿时变啮合刚度的变化规律。获得章动面齿轮齿。

原创性/价值

章动面齿轮传动是一种新型的传动方式。分析了面轮齿的刚度，得到章动面轮齿的单齿刚度、单齿副啮合刚度和单齿时变啮合刚度的变化规律，不仅丰富了章动面的研究齿轮传动对章动面齿轮在工程实践中的应用也具有重要的指导意义。