行星轮齿轮箱太阳轮齿根裂纹传递特性分析

doi:10.3969/j.issn.1004-132X.2023.18.004

中国机械工程 ›› 2023, Vol. 34 ›› Issue (18): 2177-2185.DOI: 10.3969/j.issn.1004-132X.2023.18.004

行星轮齿轮箱太阳轮齿根裂纹传递特性分析

沈子钰;张砦;王友仁;李泓锟

南京航空航天大学自动化学院，南京，211106

出版日期:2023-09-25 发布日期:2023-10-19
通讯作者: 张砦(通信作者)，男，1980年生，博士、副教授。研究方向为航空机载装备故障诊断与故障预测、智能故障诊断与故障预测。E-mail：wolnyzhang@nuaa.edu.cn。
作者简介:沈子钰，男，1998年生，硕士研究生。研究方向为故障诊断。
基金资助:
航空发动机及燃气轮机重大专项基础研究（J2019-Ⅳ-0018-0086）; 航空科学基金（20183352031）;南京航空航天大学创新计划 (xcxjh20210333)

Analysis of Transmission Characteristics of Sun Wheel Root Cracks in Planetary Wheel Gearboxes#br#

SHEN Ziyu；ZHANG Zhai;WANG Youren;LI Hongkun

School of Automation Engineering,Nanjing University of Aeronautics and Astronautics,Nanjing,211106

Online:2023-09-25 Published:2023-10-19

摘要/Abstract

摘要： 采用集中参数模型，考虑啮合振动的内部激励，分别对齿轮箱内啮合和外啮合两种方式下的振动信号特征进行了分析。引入改进高斯窗的时变路径函数和考虑齿轮箱材料的时不变路径函数，改进行星轮齿轮箱箱体表面振动信号模型，分析太阳轮齿根在正常和裂纹情况下，不同传递路径对箱体表面振动信号调制现象的定量影响规律。仿真和实验对比分析表明：太阳轮齿根裂纹主要影响啮合频率倍频的边频带成分；该模型能够准确分析齿轮箱正常工况和太阳轮齿根裂纹情况下振动信号的频率、幅值和边频信息，可用于太阳轮齿根裂纹故障诊断。

关键词: 行星轮齿轮箱, 振动传递路径, 调制机理, 数学模型

Abstract: A centralized parametric model was used to analyze the vibration signal characteristics under two modes of gearbox internal and external meshing respectively, considering the internal excitation of meshing vibrations. Improved time-varying path functions for Gaussian windows and considering time-invariant path functions for gearbox materials were introduced to improve the vibration signal model of the planetary wheel gearbox case surface, and the quantitative influence laws of different transmission paths on the vibration signal modulation phenomenon of the case surface under normal and cracked sun wheel tooth roots were analyzed. The simulation and experimental comparison analysis demonstrate: the sun wheel root cracks mainly affect the side frequency band components of the mesh frequency octave, the model may accurately analyze the frequency, amplitude and side frequency information of the vibration signals under normal gearbox conditions and sun wheel root crack, and may be used for sun wheel root crack fault diagnosis.

Key words: planetary wheel gearbox, vibration transmission path, modulation mechanism, mathematical model

中图分类号:

TH17

沈子钰, 张砦, 王友仁, 李泓锟. 行星轮齿轮箱太阳轮齿根裂纹传递特性分析[J]. 中国机械工程, 2023, 34(18): 2177-2185.

SHEN Ziyu, ZHANG Zhai, WANG Youren, LI Hongkun. Analysis of Transmission Characteristics of Sun Wheel Root Cracks in Planetary Wheel Gearboxes#br#[J]. China Mechanical Engineering, 2023, 34(18): 2177-2185.

参考文献

［1］雷亚国, 罗希, 刘宗尧, 等. 行星轮系动力学新模型及其故障响应特性研究［J］. 机械工程学报, 2016, 52(13):111-122.
LEI Yaguo, LUO Xi, LIU Zongyao, et al. A New Dynamic Model of Planetary Gear Sets and Research on Fault Response Characteristics［J］. Journal of Mechanical Engineering, 2016, 52(13):111-122.
［2］易钰棠. 风电齿轮箱振动特性分析及结构拓扑优化［D］:重庆：重庆大学, 2021.
YI Yutang. Vibration Characteristics Analysis and Structural Topology Optimization of Wind Turbine Gearbox［D］:Chongqing ：Chongqing University, 2021.
［3］王箫剑, 李鸿光. 考虑修正等效啮合尺寸的行星齿轮箱振动特性分析［J］. 噪声与振动控制, 2019, 39(4):90-94.
WANG Xiaojian, LI Hongguang. Study on Vibration Characteristics of Planetary Gearboxes Considering Improved Equivalent Meshing Size［J］. Noise and Vibration Control, 2019, 39(4):90-94.
［4］SHEN J, HU N Q, ZHANG L,et al. Dynamic Analysis of Planetary Gear with Root Crack in Sun Gear Based on Improved Time-varying Mesh Stiffness［J］. Applied Sciences-basel, 2020, 10(23):8379.
［5］于欣楠, 陈小旺, 冯志鹏. 共振频带齿轮故障振动特征分析［J］. 振动工程学报, 2020, 33(2):424-432.
YU Xinnan, CHEN Xiaowang, FENG Zhipeng. Vibration Signal Characteristics of Gear Fault in Resonance Region［J］. Journal of Vibration Engineering, 2020, 33(2):424-432.
［6］张建宇, 陈林, 胥永刚. 单级齿轮箱内部冲击振动的传播衰减特性研究［J］. 机械设计与制造, 2018 (1):69-72.
ZHANG Jianyu, CHEN Lin, XU Yonggang. Research on Vibration Energy Transfer Attenuation Behaviour Induced by Internal Impact of the Single Gearbox［J］. Machinery Design & Manufacture, 2018(1):69-72.
［7］WANG Xin, LI Liang, ZHAO Xiaofei. Transmission Characteristics of Planetary Gear Wear in Multistage Gear Transmission System［J］. Journal of Vibroengineering, 2019, 21(5):1308-1321.
［8］马浩群, 冯志鹏. 行星轮不均载的行星齿轮箱振动信号模型［J］. 振动工程学报, 2022, 35(1):196-201.
MA Haoqun, FENG Zhipeng. A Vibration Signal Model of Planetary Gearboxes with Unequal Load Sharing among Planets［J］. Journal of Vibration Engineering, 2022, 35(1):196-201.
［9］GAO Hongwei, WANG Xin, ZHAO Xiaofei. Coupling Fault Transfer Characteristics of Fixed-axis Gear Crack and Planetary Gear Missing Tooth［J］. Journal of Vibroengineering, 2020, 22(4):804-816.
［10］INALPOLAT M, KAHRAMAN A. A Theoretical and Experimental Investigation of Modulation Sidebands of Planetary Gear Sets［J］. Journal of Sound and Vibration, 2009, 323(3/5):677-696.
［11］钟伟楠. 基于集中参数模型齿轮传动系统振动仿真与实验研究［D］.广州：华南理工大学,2018.
ZHONG Weinan. Research on Vibration Simulation and Experiment of Gear Transmission System Based on Lumped Parameter Model［D］.Guangzhou：South China University of Technology, 2018.
［12］LIU L B, LIANG X H, ZUO M J. Vibration Signal Modeling of a Planetary Gear Set with Transmission Path Effect Analysis［J］. Measurement, 2016, 85:20-31.
［13］LEI Y, TANG W, KONG D,et al. Vibration Signal Simulation and Fault Diagnosis of Planetary Gearboxes Based on Transmission Mechanism Analysis［J］. Journal of Mechanical Engineering, 2014, 50(17):61-68.
［14］HUANG Y, DING K, HE G. Mathematical Model of Planetary Gear Sets Vibration Signal and Characteristic Frequency Analysis［J］. Journal of Mechanical Engineering, 2016, 52(7):46-53.
［15］NIE Y Y, LI F Y, WANG L M,et al. A Mathematical Model of Vibration Signal for Multistage Wind Turbine Gearboxes with Transmission Path Effect Analysis［J］. Mechanism and Machine Theory, 2022, 167:104428.
［16］HAN Q, WANG T, DING Z, et al. Magnetic Equivalent Modeling of Stator Currents for Localized Fault Detection of Planetary Gearboxes Coupled to Electric Motors［J］. IEEE Transactions on Industrial Electronics, 2021, 68(3):2575 - 2586.
［17］CHENG F, CHEN A, WU D, et al, Ground Vibration Propagation and Attenuation of Vibrating Compaction［J］. Journal of Vibroengineering, 2019, 21(5):1342–1352.
［18］MA H, FENG Z. A VibrationSignal Model of Planetary Gearboxes with Unequal Load Sharing among Planets［J］. Journal of Vibration Engineering, 2022, 35(1):196-201.
［19］NIE Y, WANG L, LI F, et al. ANovel Mathematical Model of Transmission Path Effect for the Research of Vibration Characteristics of Planetary Gearboxes［J］. 2022, 176:105022.
［20］黄奕宏, 丁康, 何国林. 行星传动系统振动信号数学模型及特征频率分析［J］. 机械工程学报, 2016, 52(7):46-53.
HUANG Yihong, DING Kang, HE Guolin. Mathematical Model of Planetary Gear Sets Vibration Signal and Characteristic Frequency Analysis［J］. Journal of Vibration Engineering, 2016, 52(7):46-53.

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行星轮齿轮箱太阳轮齿根裂纹传递特性分析

Analysis of Transmission Characteristics of Sun Wheel Root Cracks in Planetary Wheel Gearboxes#br#

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