A novel contact dynamics modeling method for profile-shifted spur gear pairs considering geometric eccentricity

IF 4.9 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration Pub Date : 2025-09-09 DOI:10.1016/j.jsv.2025.119453

Yuankui Luo , Lixin Xu , Ruhao Hu , Feng Zhou

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引用次数: 0

Abstract

The profile shift coefficient, as an active design parameter, optimizes transmission performance by adjusting the meshing point displacement, while geometric eccentricity arises from manufacturing or assembly errors, causing meshing center distance deviation. These two factors respectively characterize active modification and passive deviation in gear systems, jointly influencing dynamic characteristics. Focusing on a pair of profile-shifted spur gears considering geometric eccentricity, a contact dynamics modeling method is adopted to investigate their vibration characteristics. The contact dynamics model for profile-shifted spur gear pairs with geometric eccentricity comprises five core components: tooth profile mathematical model, time-varying meshing stiffness (TVMS) model, dynamic differential equations, contact model, and unknown variable solving model. Based on the proposed model, the study analyzes the effects of different profile shift coefficients, geometric eccentricity values, and their coupled interactions on the dynamic response of the gear system. It reveals the regulatory role of profile shift coefficients in eccentricity sensitivity. By constructing a dynamic simulation model for profile-shifted spur gear pairs with geometric eccentricity, the accuracy of the proposed model is validated. This research provides theoretical foundations for profile-eccentricity collaborative optimization in high-precision gear systems, particularly applicable to dynamically sensitive transmission devices such as aerospace reducers and precision machine tools.

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考虑几何偏心的插齿直齿副接触动力学建模新方法

轮廓位移系数作为主动设计参数，通过调整啮合点位移来优化传动性能，而几何偏心是由于制造或装配误差引起的，会导致啮合中心距离偏差。这两个因素分别表征了齿轮系统的主动变差和被动变差，共同影响齿轮系统的动态特性。以考虑几何偏心的双插齿直齿齿轮为研究对象，采用接触动力学建模方法研究了其振动特性。具有几何偏心的插齿直齿齿轮副接触动力学模型包括齿形数学模型、时变啮合刚度（TVMS）模型、动力学微分方程、接触模型和未知变量求解模型五个核心部分。在该模型的基础上，分析了不同的齿形位移系数、几何偏心率值及其耦合作用对齿轮系统动态响应的影响。揭示了剖面位移系数对偏心灵敏度的调节作用。通过建立具有几何偏心的插齿直齿副动力学仿真模型，验证了该模型的准确性。该研究为高精度齿轮系统的齿廓-偏心协同优化提供了理论基础，尤其适用于航空航天减速器和精密机床等动态敏感传动装置。

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来源期刊

Journal of Sound and Vibration 工程技术-工程：机械

CiteScore

9.10

自引率

10.60%

发文量

551

审稿时长

69 days

期刊介绍： The Journal of Sound and Vibration (JSV) is an independent journal devoted to the prompt publication of original papers, both theoretical and experimental, that provide new information on any aspect of sound or vibration. There is an emphasis on fundamental work that has potential for practical application. JSV was founded and operates on the premise that the subject of sound and vibration requires a journal that publishes papers of a high technical standard across the various subdisciplines, thus facilitating awareness of techniques and discoveries in one area that may be applicable in others.