多段变性Pascal蜗线齿轮传动特性分析

doi:10.3969/j.issn.1004-132X.2025.03.011

中国机械工程 ›› 2025, Vol. 36 ›› Issue (03): 475-482.DOI: 10.3969/j.issn.1004-132X.2025.03.011

多段变性Pascal蜗线齿轮传动特性分析

陶德华¹*;王英²;曹振新¹;李凝¹;胡礼广¹;宣仲义¹;蒋洪奎¹

1.浙江师范大学行知学院工学院，金华，321100
2.宁波大学机械工程与力学学院，宁波，315211

出版日期:2025-03-25 发布日期:2025-04-17
作者简介:陶德华*，男，1993年生，讲师。研究方向为异性齿轮传动技术。E-mail:taodehua@zjnu.edu.cn。
基金资助:
浙江省教育厅一般科研项目（Y202249437）；金华市公益性技术应用研究项目（2022-4-069;2021-4-362）；宁波市重大科技攻关暨“揭榜挂帅”项目（2022Z063）；宁波市北仑区关键核心技术攻关项目（2022001）

Analysis of Transmission Characteristics of Multi-stage Denatured Pascal Worm Gears

TAO Dehua¹*;WANG Ying²;CAO Zhenxin¹;LI Ning¹;HU Liguang¹;XUAN Zhongyi¹;JIANG Hongkui¹

1.School of Engineering,Xingzhi College Zhejiang Normal University,Jinhua,Zhejiang,321100
2.Faculty of Mechanical Engineering and Mechanics,Ningbo University,Ningbo,Zhejiang,315211

Online:2025-03-25 Published:2025-04-17

摘要/Abstract

摘要： 为得到不同传动特性的Pascal蜗线齿轮机构，基于二段变性Pascal蜗线齿轮生成机理构建多段变性Pascal蜗线齿轮机构。将Pascal蜗线曲线划分成N段，并在每一区段内引入不同的变性系数，由此获得多段变性Pascal蜗线。基于几何图学构建该曲线数学方程。将多段变性Pascal蜗线曲线应用于齿轮机构，得到一种变速传动的非圆齿轮机构，并构建该类型齿轮机构传动数学模型。为便于优化设计，编制了多段变性Pascal蜗线齿轮机构可视化设计平台，分析了变性系数对Pascal蜗线族齿轮的影响，总结了变性系数选取准则。分析了三段变性Pascal蜗线齿轮机构的传动特性和多段变性Pascal蜗线齿轮在压力机上的应用。研究发现：在不同区段内引入不同的变性系数，可获得不同的传动特性；且分段数量越多，可调节性越强，获得的传动特性种类越多。

关键词: Pascal蜗线齿轮, 多段变性, 传动比, 压力角, 重合度

Abstract: In order to obtain the Pascal worm gear mechanisms with different transmission characteristics, a multi-stage denatured Pascal worm gear mechanism was constructed based on 2 stage denatured Pascal worm gear generation mechanism. Pascal worm curve was divided into N segments, and different denatured coefficients were introduced in each segment, and the multi-stage denatured Pascal worm lines were obtained. The mathematical equation of the curve was constructed based on geometric graphics. The multi-stage denatured Pascal worm lines were applied to the gear mechanisms to obtain a non-circular gear mechanism for variable speed transmission, and a mathematical model of this type of gear mechanisms was constructed. A multi-stage denatured Pascal worm line gear mechanism visual design platform was compiled for facilitating the optimization of the design, the effects of denatured coefficient on Pascal worm gear were analyzed, and the selection criteria of denatured coefficient were summarized. The transmission characteristics of 3 stage denatured Pascal worm gear mechanisms were analyzed, and multi-stage denatured Pascal worm gear was applied on the presses. Results show that different transmission characteristics may be obtained by introducing different denaturation coefficients in different sections, and the larger the number of segments, the stronger the adjustability, and the more types of transmission characteristics may be obtained.

Key words: Pascal worm gear, multi-stage denaturation, transmission ratio, pressure angle, coincidence

中图分类号:

TH132.424

陶德华1, 王英2, 曹振新1, 李凝1, 胡礼广1, 宣仲义1, 蒋洪奎1. 多段变性Pascal蜗线齿轮传动特性分析[J]. 中国机械工程, 2025, 36(03): 475-482.

TAO Dehua1, WANG Ying2, CAO Zhenxin1, LI Ning1, HU Liguang1, XUAN Zhongyi1, JIANG Hongkui1. Analysis of Transmission Characteristics of Multi-stage Denatured Pascal Worm Gears[J]. China Mechanical Engineering, 2025, 36(03): 475-482.

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https://www.cmemo.org.cn/CN/Y2025/V36/I03/475

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多段变性Pascal蜗线齿轮传动特性分析

Analysis of Transmission Characteristics of Multi-stage Denatured Pascal Worm Gears

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