Vibration suppression strategy of elliptical gears based on configuration optimization design

IF 4.5 2区工程技术 Q2 ENGINEERING, MANUFACTURING

Precision Engineering-Journal of the International Societies for Precision Engineering and Nanotechnology Pub Date : 2026-01-01 Epub Date: 2025-10-17 DOI:10.1016/j.precisioneng.2025.10.016

Changbin Dong , Juan Wang , Wangpeng Pei , Yongping Liu

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Abstract

The dynamic imbalance problem of elliptical gears seriously affects their service performance and can significantly induce vibration. In order to overcome the above technical difficulties, this paper proposes to use topology optimization technology to achieve structural optimization design of elliptical gear spokes, aiming to suppress vibration and alleviate the dynamic imbalance problem of elliptical gears. Based on nonlinear dynamics and viscoelastic theory, a 6-degree-of-freedom bending torsional coupling dynamic model was derived considering gear eccentricity excitation, and accurately solved the time-varying meshing stiffness, comprehensive transmission error, and time-varying tooth backlash parameters of the model. The influence of lightweight design on the vibration response of the system was analyzed by combining the time-domain diagram, FFT spectrum diagram, phase diagram, and Poincaré cross-sectional diagram. The results indicate that with the optimization of the rotational inertia and centroid position of the elliptical gear transmission system through lightweight design, the vibration response of the system has been weakened, but the frequency component has not shown significant changes.Finally, vibration experiments confirmed that lightweight design has a significant inhibitory effect on the vibration characteristics of elliptical gears. ¹

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基于构型优化设计的椭圆齿轮减振策略

椭圆齿轮的动不平衡问题严重影响椭圆齿轮的使用性能，并会引起振动。为了克服上述技术难点，本文提出利用拓扑优化技术实现椭圆齿轮辐条的结构优化设计，旨在抑制振动，缓解椭圆齿轮的动不平衡问题。基于非线性动力学和粘弹性理论，推导了考虑齿轮偏心激励的6自由度弯曲扭转耦合动力学模型，并精确求解了模型的时变啮合刚度、综合传动误差和时变齿隙参数。结合时域图、FFT谱图、相位图和poincarcars截面图，分析了轻量化设计对系统振动响应的影响。结果表明：通过轻量化设计对椭圆齿轮传动系统的转动惯量和质心位置进行优化后，系统的振动响应有所减弱，但频率分量变化不明显；最后，通过振动实验验证了轻量化设计对椭圆齿轮的振动特性有明显的抑制作用。1

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

Precision Engineering-Journal of the International Societies for Precision Engineering and Nanotechnology 工程技术-工程：制造

CiteScore

7.40

自引率

5.60%

发文量

177

审稿时长

46 days

期刊介绍： Precision Engineering - Journal of the International Societies for Precision Engineering and Nanotechnology is devoted to the multidisciplinary study and practice of high accuracy engineering, metrology, and manufacturing. The journal takes an integrated approach to all subjects related to research, design, manufacture, performance validation, and application of high precision machines, instruments, and components, including fundamental and applied research and development in manufacturing processes, fabrication technology, and advanced measurement science. The scope includes precision-engineered systems and supporting metrology over the full range of length scales, from atom-based nanotechnology and advanced lithographic technology to large-scale systems, including optical and radio telescopes and macrometrology.