Dynamics analysis of high-speed encased differential planetary Gear Trains with different load-sharing

IF 4.9 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration Pub Date : 2025-08-08 DOI:10.1016/j.jsv.2025.119385

Congfang Hu , Wenzhuo Yi , Siyu Chen , Rui Chen , Xiao Liang

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引用次数: 0

Abstract

Load-sharing measures are adopted to improve the load-sharing performance of planetary gear systems. However, the measures affect dynamic characteristics, especially at high speed. Encased differential planetary gear trains (EDPGTs) are used widely for a large load capacity. Thus, the dynamic characteristics of EDPGTs with different load-sharing mechanisms are studied. First, EDPGTs are divided into finite nodes. Second, dynamic equations for each component are structured by Timoshenko beam theory, considering gyroscopic coupling, gear error excitation, and time-varying mesh stiffness excitation. Then, meshing elements and supporting elements are incorporated into component models by connected nodes. Third, a finite element node model of the flexible pin is established. A simulation and experiment are implemented to verify the flexible pin model. Lastly, the overall dynamics model of EDPGTs is established and solved by the Newmark-β method. The commonly used floating sun gear, flexible pin, and flexible ring gear are considered separately and in different combinations, so eight combinations of load-sharing are proposed. Dynamics analysis demonstrates that rigid pins effectively suppress planetary gear vibration amplitudes in the x and y-direction, while a fixed sun gear configuration reduces the sun gear. Moreover, the rigid ring gear design attenuation the θ_z-direction vibrational displacement of each component. The analytical method provides theoretical support for optimizing high-speed planetary gear transmission systems.

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不同负载分担的高速封闭式差动行星轮系动力学分析

采用载荷分担措施，提高行星齿轮系统的载荷分担性能。然而，这些措施会影响动态特性，特别是在高速下。封闭式差动行星轮系（EDPGTs）因其承载能力大而得到广泛应用。因此，研究了不同负载分担机制下edpgt的动态特性。首先，将edpgt划分为有限节点。其次，考虑陀螺耦合、齿轮误差激励和时变网格刚度激励，利用Timoshenko梁理论构建各部件的动力学方程；然后，通过连接节点将网格元素和支撑元素合并到构件模型中。第三，建立了柔性销的有限元节点模型。通过仿真和实验对柔性引脚模型进行了验证。最后，建立了EDPGTs的整体动力学模型，并采用Newmark-β方法进行求解。将常用的浮动太阳齿轮、柔性销和柔性环齿轮分别考虑，并采用不同的组合形式，提出了8种载荷分担组合。动力学分析表明，刚性销能有效抑制行星齿轮在x和y方向上的振动幅值，而固定太阳齿轮结构能减小太阳齿轮的振动幅值。刚性齿圈齿轮的设计减小了各部件的θz方向振动位移。该分析方法为高速行星齿轮传动系统的优化提供了理论支持。

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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.