任菲, 臧旭, 王才东,等.含裂纹故障的双齿圈人字行星齿轮传动系统动力学仿真与均载分析[J].河南理工大学学报（自然科学版）,2026,45(1):128-135.

REN F, ZANG X, WANG C D, et al.Dynamic simulation and load sharing performance analysis of double-ring herringbone planetary gear train with crack faults[J].Journal of Henan Polytechnic University(Natural Science) ,2026,45(1):128-135.

含裂纹故障的双齿圈人字行星齿轮传动系统动力学仿真与均载分析

任菲, 臧旭, 王才东, 张德海, 崔光珍, 王良文, 巩晓赟, 李立伟, 杨贺, 杜燕来

郑州轻工业大学 机电工程学院，河南 郑州 450002

摘要: 目的 研究不同类型裂纹故障对双齿圈人字行星齿轮传动系统接触力特性和均载性能的影响规律。 方法 基于SolidWorks和ADAMS进行故障联合仿真研究，分别建立健康状态和行星轮上具有贯穿型、非贯穿型和端面贯穿型3种不同裂纹故障的双齿圈人字行星齿轮传动系统精确虚拟样机模型，采用GSTIFF积分法求解健康和不同典型裂纹故障状态下的轮齿接触力，计算系统均载系数，分析内、外啮合副在时频域上的接触力特性和系统均载特性的变化规律。 结果 结果表明，健康状态下各齿轮副的接触力呈稳定的周期性变化，仿真基频与啮合频率数值相差仅1%；系统内、外啮合副均载系数为1.006和1.007，啮合传动表现出良好的均载性能。存在裂纹故障时，贯穿型裂纹深度扩展到30 mm时，内、外啮合副均载系数增大6.2%和9.2%；贯穿型裂纹角度扩展到60°时，内、外啮合副均载系数增大6.6%和7.8%；非贯穿型裂纹有效长度扩展到120 mm时，内、外啮合副均载系数增大4.3%和4.1%；端面贯穿型裂纹有效宽度扩展到150 mm时，内、外啮合副均载系数增大10.8%和11.4%。 结论 随着裂纹故障程度加深，均载系数逐渐增大，即均载性能逐渐变差。系统外啮合均载性能受到的影响比内啮合更大，行星轮存在端面贯穿型裂纹故障对系统的均载性能影响显著大于贯穿型和非贯穿型裂纹。

关键词:双齿圈人字行星齿轮;裂纹故障;虚拟样机;裂纹扩展类型;接触力;均载特性

doi:10.16186/j.cnki.1673-9787.2025010031

基金项目:国家自然科学基金资助项目（52075500）；河南省科技攻关项目（242102220059，232102220049）

收稿日期:2025/01/22

修回日期:2025/03/21

出版日期:2025-12-03

Dynamic simulation and load sharing performance analysis of double-ring herringbone planetary gear train with crack faults

Ren Fei, Zang Xu, Wang Caidong, Zhang Dehai, Cui Guangzhen, Wang Liangwen, Gong Xiaoyun, Li Liwei, Yang He, Du Yanlai

College of Mechanical and Electrical Engineering， Zhengzhou University of Light Industry， Zhengzhou 450002， Henan， China

Abstract: Objectives In order to investigate the influence of different types of crack failures on the contact force characteristics and load sharing performance of the double-ring herringbone planetary gear train， Methods based on SolidWorks and ADAMS， a joint simulation study of faults was conducted. Precise virtual prototype models were respectively established for the healthy state and the double-ring herringbone planetary gear train with three different crack faults of penetrating， non-penetrating， and end-face penetrating on the planet gear. The GSTIFF integration method was adopted to solve the tooth contact forces under healthy and different typical crack fault conditions， the load sharing coefficient of the system was calculated， and the contact force characteristics of the internal and external meshing pairs in the time-frequency domain and the variation law of the load sharing performance of system were analyzed. Results The results indicated that in the healthy state， the contact forces of each gear pair exhibited stable cyclic variations. The simulated fundamental frequency differed from the meshing frequency by only 1%. The load sharing coefficient of the internal and external meshing pairs were 1.006 and 1.007， demonstrating good load sharing performance of the system. In the presence of crack failures， when the depth of penetrating cracks extended to 30 mm， the load sharing coefficient of the internal and external meshing pairs increased by 6.2% and 9.2% respectively； when the angle of penetrating cracks extended to 60°， the load sharing coefficient of the internal and external meshing pairs increased by 6.6% and 7.8% respectively； when the effective length of non-penetrating cracks extended to 120 mm， the load sharing coefficient of the internal and external meshing pairs increased by 4.3% and 4.1% respectively； and when the effective width of end-face penetrating cracks extended to 150 mm， the load sharing coefficient of the internal and external meshing pairs increased by 10.8% and 11.4% respectively.<italic/> Conclusions As the degree of crack faults increased， the load sharing coefficient exhibited a gradual rise， indicating a gradual deterioration in load sharing performance. The external meshing load sharing performance of the system was more significantly impacted than the that of the internal meshing， and the presence of end-face penetrating cracks on the planet gear had a notably greater impact on the load sharing performance of system compared to penetrating and non-penetrating cracks.

Key words:double-ring herringbone planetary gear;crack fault;virtual prototype;crack extension type;contact forces;load sharing performance