大型航空行星轮系内齿圈柔性与疲劳可靠性
收稿日期: 2024-10-30
修回日期: 2024-11-18
录用日期: 2024-12-27
网络出版日期: 2025-01-10
基金资助
国家自然科学基金(52005350);飞行器快速试制技术研究教育部重点实验室开放基金(纵20240224);辽宁省教育厅高等学校基本科研项目(LJKZ0196)
Influence of ring gear flexibility on fatigue reliability in large aerospace planetary mechanisms
Received date: 2024-10-30
Revised date: 2024-11-18
Accepted date: 2024-12-27
Online published: 2025-01-10
Supported by
National Natural Science Foundation of China(52005350);The Foundation of Key Laboratory of Rapid Development & Manufacturing Technology for Aircraft （Shenyang Aerospace University）, Ministry of Education(Zong 20240224);Basic Research Project of Higher Education Institutions, Liaoning Provincial Department of Education(LJKZ0196)
内齿圈的轮缘柔性会显著影响行星传动在轮齿啮合层面和系统功率分流层面上的力学性能，是决定大型航空行星系统服役可靠性水平的关键设计因素之一。为了分析内齿圈的轮缘柔性对行星系统疲劳可靠性的影响方式及程度，在应力-强度干涉理论框架下，基于全概率公式计算原理构建了行星系统可靠性评估模型，并利用集中质量有限元法和轮齿概率寿命转化试验分别为可靠性模型提供载荷和强度输入变量。最终，建立了从轮缘厚度到行星系统可靠性指标的映射关系，准确地确定了在质量约束下可靠性增益效果最优的内齿圈轮缘厚度尺寸，为大型航空行星系统的疲劳可靠性设计提供了技术储备。
李铭 , 万鑫 , 纪璞正 . 大型航空行星轮系内齿圈柔性与疲劳可靠性[J]. 航空学报, 2025 , 46(14) : 231468 -231468 . DOI: 10.7527/S1000-6893.2024.31468
The flexibility of the ring gear significantly influences the mechanical properties of planetary transmission at both the tooth meshing level and the system power split level， making it one of the most important design factors determining the service reliability of large aerospace planetary mechanisms. To analyze the way and extent to which the rim flexibility of the ring gear affects the fatigue reliability of the planetary system， a planetary system reliability assessment model is developed using the stress-strength interference theory and the full probability formula calculation. The model incorporates load and strength input variables obtained through the lumped mass finite element method and probabilistic life transformation test of the gear teeth. Finally， the mapping relationship between rim thickness and the reliability index of the planetary system is established， and the thickness range of the ring gear rim with the best reliability gain effect under the mass constraint is accurately determined. This study provides a technical reserve for the fatigue reliability design of large aviation planetary systems.
| [1] | ASTRIDGE D G. Helicopter transmissions： Design for safety and reliability［J］. Proceedings of the Institution of Mechanical Engineers， Part G： Journal of Aerospace Engineering， 1989， 203（2）： 123-138. |
| [2] | 许华超， 秦大同. 内激励下弹性边界柔性直齿内齿圈振动响应研究［J］. 机械工程学报， 2018， 54（9）： 161-167. |
| XU H C， QIN D T. Vibration response of flexible spur ring gear with elastic foundation under internal excitation［J］. Journal of Mechanical Engineering， 2018， 54（9）： 161-167 （in Chinese）. | |
| [3] | WANG C L， ZHANG X F， ZHOU J X， et al. Calculation method of dynamic stress of flexible ring gear and dynamic characteristics analysis of thin-walled ring gear of planetary gear train［J］. Journal of Vibration Engineering & Technologies， 2021， 9（5）： 751-766. |
| [4] | 李铭， 罗源， 谢里阳. 基于层级有限元法的大型航空行星机构可靠性优化设计［J］. 机械工程学报， 2023， 59（1）： 59-70. |
| LI M， LUO Y， XIE L Y. Reliability optimization design for large aerospace planetary mechanism based on hierarchical finite element［J］. Journal of Mechanical Engineering， 2023， 59（1）： 59-70 （in Chinese）. | |
| [5] | DUAN T T， ZHANG A Q， WEI J， et al. Effects of crack and structural flexibility on planetary gear system fault feature considering ring gear boundary condition［J］. Engineering Failure Analysis， 2023， 149： 107245. |
| [6] | GUAN X L， TANG J Y， HU Z H， et al. Dynamic analysis of spur gear pair established by flexible ring and time-varying mesh model［J］. Journal of the Brazilian Society of Mechanical Sciences and Engineering， 2022， 44（4）： 159. |
| [7] | KAHRAMAN A， KHARAZI A A， UMRANI M. A deformable body dynamic analysis of planetary gears with thin rims［J］. Journal of Sound and Vibration， 2003， 262（3）： 752-768. |
| [8] | 王成， 张翔， 周剑. 柔性内齿圈动态应力计算方法及薄壁齿圈动态特性分析［J］. 航空学报， 2020， 58（5）： 751-766. |
| WANG C， ZHANG X， ZHOU J. Calculation method of dynamic stress of flexible inner gear ring and analysis of dynamic characteristics of thin-walled gear ring［J］. Acta Aeronautica et Astronautica Sinica， 2020， 58（5）： 751-766 （in Chinese）. | |
| [9] | ABOUSLEIMAN V， VELEX P， BECQUERELLE S. Modeling of spur and helical gear planetary drives with flexible ring gears and planet carriers［J］. Journal of Mechanical Design， 2007， 129（1）： 95-106. |
| [10] | ABOUSLEIMAN V， VELEX P. A hybrid 3D finite element/lumped parameter model for quasi-static and dynamic analyses of planetary/epicyclic gear sets［J］. Mechanism and Machine Theory， 2006， 41（6）： 725-748. |
| [11] | LI M， LUO Y， XIE L. Fatigue reliability design method for large aviation planetary system considering the flexibility of the ring gear［J］.Applied Sciences， 2022， 12（20）： 10361. |
| [12] | HU Y， TALBOT D， KAHRAMAN A. A gear load distribution model for a planetary gear set with a flexible ring gear having external splines［J］. Journal of Mechanical Design， 2019， 141（5）： 053301. |
| [13] | CHEN Z G， SHAO Y M. Mesh stiffness of an internal spur gear pair with ring gear rim deformation［J］. Mechanism and Machine Theory， 2013， 69： 1-12. |
| [14] | CHEN Z G， SHAO Y M， SU D Z. Dynamic simulation of planetary gear set with flexible spur ring gear［J］. Journal of Sound and Vibration， 2013， 332（26）： 7191-7204. |
| [15] | CHEN Z G， ZHU Z F， SHAO Y M. Fault feature analysis of planetary gear system with tooth root crack and flexible ring gear rim［J］. Engineering Failure Analysis， 2015， 49： 92-103. |
| [16] | KAHRAMAN A， VIJAYAKAR S. Effect of internal gear flexibility on the quasi-static behavior of a planetary gear set［J］. Journal of Mechanical Design， 2001， 123（3）： 408-415. |
| [17] | KAHRAMAN A， LIGATA H， SINGH A. Influence of ring gear rim thickness on planetary gear set behavior［J］. Journal of Mechanical Design， 2010， 132（2）： 021002. |
| [18] | CHEN Z G， SHAO Y M. Mesh stiffness of an internal spur gear pair with ring gear rim deformation［J］. Mechanism and Machine Theory， 2013， 69： 1-12. |
| [19] | YAN Y Y. Load characteristic analysis and fatigue reliability prediction of wind turbine gear transmission system［J］. International Journal of Fatigue， 2020， 130： 105259. |
| [20] | 王正， 王增全. 基于应力-强度干涉的车用发动机机械零部件B10寿命计算方法［J］. 机械工程学报， 2014， 50（16）： 47-53. |
| WANG Z， WANG Z Q. Method for calculating the B10 reliable life of mechanical components of vehicle engine based on the stress-strength interference［J］. Journal of Mechanical Engineering， 2014， 50（16）： 47-53 （in Chinese）. | |
| [21] | LI M， XIE L Y， DING L J. Load sharing analysis and reliability prediction for planetary gear train of helicopter［J］. Mechanism and Machine Theory， 2017， 115： 97-113. |
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