A novel analytical model of the tooth pair meshing duration of orthogonal face gears

IF 1.8 4区 工程技术 Q3 ENGINEERING, MECHANICAL
Wenguang Zhou, Rupeng Zhu, Wenzheng Liu, Jingjing Wang
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Abstract

In this paper, a novel analytical model is proposed for calculating the tooth pair meshing duration of orthogonal face gears. Initially, the tooth surface equation, transition surface equation, and tooth width constraints are derived. Subsequently, the contact path of orthogonal face gears is determined based on the condition that the spatial position and normal vector of the contact point of the two tooth surfaces coincide respectively. Furthermore, an analytical model of the tooth pair meshing duration of the orthogonal face gears is established in accordance with the principle of gear meshing. Finally, the tooth pair meshing durations of orthogonal face gears in two cases (contact ratio 1 < ε ≤ 2 and 2 < ε ≤ 3) are discussed. The results show that when 1 < ε ≤ 2, at most two pairs of teeth and at least one pair of teeth are engaged in meshing simultaneously. The middle tooth pair contacts from the meshing-in point, passing through the double-single-double pairs of teeth meshing in sequence. When 2 < ε ≤ 3, at most three pairs of teeth and at least two pairs of teeth participate in meshing at the same time. The middle tooth pair contacts from the meshing-in point, successively transitioning through three-double-three-double-three pairs of teeth meshing. Single-tooth-pair meshing duration is absent.

Abstract Image

正交齿面齿轮齿对啮合持续时间的新型分析模型
本文提出了一种新的分析模型,用于计算正交面齿轮的齿对啮合持续时间。首先,推导出齿面方程、过渡面方程和齿宽约束。随后,以两个齿面接触点的空间位置和法向量分别重合为条件,确定了正交齿面齿轮的接触路径。此外,还根据齿轮啮合原理建立了正交齿面齿轮齿对啮合持续时间的分析模型。最后,讨论了两种情况(接触比 1 < ε ≤ 2 和 2 < ε ≤ 3)下正交齿面齿轮的齿对啮合持续时间。结果表明,当 1 < ε ≤ 2 时,最多有两对齿同时啮合,至少有一对齿同时啮合。中间的齿对从啮合点开始接触,依次经过啮合的双-单-双齿对。当 2 < ε ≤ 3 时,最多有三对齿和至少有两对齿同时参与啮合。中间的齿对从啮合点开始接触,依次过渡到三对-双对-三对-双对-三对齿的啮合。没有单齿对啮合持续时间。
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来源期刊
CiteScore
3.60
自引率
13.60%
发文量
536
审稿时长
4.8 months
期刊介绍: The Journal of the Brazilian Society of Mechanical Sciences and Engineering publishes manuscripts on research, development and design related to science and technology in Mechanical Engineering. It is an interdisciplinary journal with interfaces to other branches of Engineering, as well as with Physics and Applied Mathematics. The Journal accepts manuscripts in four different formats: Full Length Articles, Review Articles, Book Reviews and Letters to the Editor. Interfaces with other branches of engineering, along with physics, applied mathematics and more Presents manuscripts on research, development and design related to science and technology in mechanical engineering.
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