A Generalized Algorithm and Simulation Verification of Non-circular Gear Tooth Surface Data Points

IF 1.5 4区工程技术 Q3 ENGINEERING, MECHANICAL Iranian Journal of Science and Technology-Transactions of Mechanical Engineering Pub Date : 2024-03-23 DOI:10.1007/s40997-024-00761-2

Dawei Li, Chuanhong Huang, Yongping Liu, Jun Gong

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Abstract

This paper presents a method to establish a mathematical model of non-circular gear tooth surface, which can avoid the issues of low accuracy and low efficiency in extracting tooth surface of previous non-circular gear tooth surface design methods. A new tooth envelope method is proposed, where the gear inserting knife rotates only on a fixed axis, while the non-circular gear rotates and translates in the horizontal plane. By utilizing the conjugate theory and coordinate transformation theory, the coordinate system, meshing equation, and tooth surface equation of the non-circular gear are obtained, and the 3D point cloud of the tooth surface is programmed. Finally, the mathematical model of the tooth surface proposed in this paper is used to establish multiple pairs of non-circular gears with different orders, and the correctness and generality of the method are verified by comparing the simulated and experimental transmission ratio with the theoretical transmission ratio in the test.

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非圆齿轮齿面数据点的通用算法与仿真验证

本文提出了一种建立非圆齿轮齿面数学模型的方法，可以避免以往非圆齿轮齿面设计方法中齿面提取精度低、效率低的问题。提出了一种新的齿面包络法，即插齿刀只在固定轴上旋转，而非圆齿轮在水平面上旋转和平移。利用共轭理论和坐标变换理论，得到了非圆齿轮的坐标系、啮合方程和齿面方程，并编程得到了齿面的三维点云。最后，利用本文提出的齿面数学模型建立了多对不同阶数的非圆齿轮，并通过比较模拟和实验传动比与试验中的理论传动比，验证了该方法的正确性和通用性。

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来源期刊

Iranian Journal of Science and Technology-Transactions of Mechanical Engineering ENGINEERING, MECHANICAL-

CiteScore

2.90

自引率

7.70%

发文量

审稿时长

>12 weeks

期刊介绍： Transactions of Mechanical Engineering is to foster the growth of scientific research in all branches of mechanical engineering and its related grounds and to provide a medium by means of which the fruits of these researches may be brought to the attentionof the world’s scientific communities. The journal has the focus on the frontier topics in the theoretical, mathematical, numerical, experimental and scientific developments in mechanical engineering as well as applications of established techniques to new domains in various mechanical engineering disciplines such as: Solid Mechanics, Kinematics, Dynamics Vibration and Control, Fluids Mechanics, Thermodynamics and Heat Transfer, Energy and Environment, Computational Mechanics, Bio Micro and Nano Mechanics and Design and Materials Engineering & Manufacturing. The editors will welcome papers from all professors and researchers from universities, research centers, organizations, companies and industries from all over the world in the hope that this will advance the scientific standards of the journal and provide a channel of communication between Iranian Scholars and their colleague in other parts of the world.