Ellipsoid contact analysis and application in the surface conjugate theory of face gears

IF 1 4区工程技术 Q4 ENGINEERING, MECHANICAL

Mechanical Sciences Pub Date : 2023-08-04 DOI:10.5194/ms-14-305-2023

Xiao-meng Chu, Yalin Liu, H. Zeng

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Abstract

Abstract. The face gear tooth surface is a high-order variable curvature surface, and the curvature of the surface is complicated, so it is difficult to describe the characteristics of the face gear tooth surface by a specific equation. In this paper, the discrete curvature relation of the surface is used instead of an analytical equation to describe a spatial meshing surface, and the traditional meshing theory is neutralized to analyze the characteristics of the face gear tooth surface. Firstly, according to the structural characteristics of the face gear, the sampling method of the face gear tooth surface is analyzed, and the mathematical model of fitting the tooth surface contact point is established. Then, the discrete asymptotic surface development analysis method is studied, and the ellipsoid contact analysis method of the face gear pair is established by simplifying the conjugate surface and its region. Finally, the contact analysis method of the discrete tooth surface is studied, and the instantaneous contact ellipse of the face gear tooth surface is calculated, which formed a new numerical meshing method of space curved surface.

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椭球接触分析及其在面齿轮曲面共轭理论中的应用

摘要面齿轮齿面是一个高阶变曲率曲面，曲面曲率复杂，很难用一个特定的方程来描述面齿轮齿面的特性。本文采用曲面的离散曲率关系代替解析方程来描述空间啮合面，中和了传统的啮合理论来分析面齿轮齿面特性。首先，根据面齿轮的结构特点，分析了面齿轮齿面采样方法，建立了齿面接触点拟合的数学模型;然后，研究了离散渐近曲面展开分析方法，通过简化共轭曲面及其区域，建立了面齿轮副的椭球接触分析方法。最后，研究了离散齿面接触分析方法，计算了面齿轮齿面瞬时接触椭圆，形成了一种新的空间曲面数值啮合方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mechanical Sciences ENGINEERING, MECHANICAL-

CiteScore

2.20

自引率

7.10%

发文量

审稿时长

29 weeks

期刊介绍： The journal Mechanical Sciences (MS) is an international forum for the dissemination of original contributions in the field of theoretical and applied mechanics. Its main ambition is to provide a platform for young researchers to build up a portfolio of high-quality peer-reviewed journal articles. To this end we employ an open-access publication model with moderate page charges, aiming for fast publication and great citation opportunities. A large board of reputable editors makes this possible. The journal will also publish special issues dealing with the current state of the art and future research directions in mechanical sciences. While in-depth research articles are preferred, review articles and short communications will also be considered. We intend and believe to provide a means of publication which complements established journals in the field.