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基于有限元模型的裂纹故障齿轮系统动力学响应分析
Dynamic Response Analysis of the Cracked Fault Gear System Based on the Finite Element Model
- 机械传动 2023年47卷第7期 页码：96-106
- 作者机构：
海军航空大学 航空机械工程与指挥系（青岛校区）， 山东 青岛 266041
- 作者简介：
焦为（1997— ），男，吉林汪清人，硕士研究生；研究方向为齿轮箱动态特性分析与故障诊断；847415270@qq.com。
- 基金信息：国家自然科学基金(11772089)
DOI：10.16578/j.issn.1004.2539.2023.07.014
中图分类号：纸质出版日期：2023-07-15，
收稿日期：2022-05-09，
扫 描 看 全 文
焦为,徐可君,秦海勤.基于有限元模型的裂纹故障齿轮系统动力学响应分析[J].机械传动,2023,47(07):96-106.
Jiao Wei,Xu Kejun,Qin Haiqin.Dynamic Response Analysis of the Cracked Fault Gear System Based on the Finite Element Model[J].Journal of Mechanical Transmission,2023,47(07):96-106.
焦为,徐可君,秦海勤.基于有限元模型的裂纹故障齿轮系统动力学响应分析[J].机械传动,2023,47(07):96-106. DOI： 10.16578/j.issn.1004.2539.2023.07.014.
Jiao Wei,Xu Kejun,Qin Haiqin.Dynamic Response Analysis of the Cracked Fault Gear System Based on the Finite Element Model[J].Journal of Mechanical Transmission,2023,47(07):96-106. DOI： 10.16578/j.issn.1004.2539.2023.07.014.
摘要
为更好地揭示齿根裂纹故障对齿轮系统动力学特性的影响，开展了“故障机制分析—齿轮系统建模—裂纹故障试验”的全过程研究。首先，考虑更为真实的齿根过渡曲线和有效齿厚削减限制线，建立了更严格的裂纹轮齿模型，对传统势能法求解啮合刚度进行改进，研究了6种不同深度裂纹的刚度变化；其次，针对传统集中参数模型的不足之处，基于Timoshenko梁单元理论建立了齿轮-转子系统有限元动力学模型；最后，采用Newmark-β法求解正常/不同深度裂纹故障的齿轮系统的动力学响应，考虑转速的影响，并与实验结果进行了对比分析。结果表明，齿根存在裂纹时，加速度响应存在周期性冲击特征，频域中的边频带现象出现在啮合频率及其谐波附近；冲击成分在时域和频域中的强度与裂纹深度、转速均成正相关关系。仿真结果和实测信号表现出一致特征，验证了该方法的正确性。
Abstract
In order to better reveal the influence of tooth root crack failure on the dynamic characteristics of the gear system
the whole process of failure mechanism analysis—gear system modeling—crack failure test is carried out. Firstly
considering the more realistic tooth root transition curve and effective tooth thickness reduction limit line
a more rigorous crack gear tooth model is established
the meshing stiffness calculated by the traditional potential energy method is improved
and the stiffness of 6 kinds of cracks with different depths is studied. Secondly
in view of the shortcomings of the traditional lumped parameter model
a finite element dynamic model of the gear-rotor system is established based on the Timoshenko beam element theory. Finally
the Newmark-β method is used to solve the dynamic response of the gear system with normal/different depth crack faults
and compared with the experimental results considering the influence of rotational speed. The results show that when there is a crack in the tooth root
the acceleration response has a periodic impact characteristic
and the side frequency phenomenon in the frequency domain occurs near the meshing frequency and its harmonics; the strength of impact components in both the time and frequency domains is positively correlated with crack depth and rotational speed. The simulation results and the measured signals show consistent characteristics
which verify the correctness of the method in this study.
关键词
时变啮合刚度齿根裂纹有限元模型振动特征分析
Keywords
Time-varying meshing stiffnessTooth root crackFinite Element ModelVibration characteristic analysis
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