| Citation: | LI Yingjie, ZHAO Guang, YUAN Yunbo, et al. Simulation and experiment on contact stiffness of aviation splines[J]. Journal of Aerospace Power, 2024, 39（12）：20230070 doi: 10.13224/j.cnki.jasp.20230070
|
The high magnitude of the contact stiffness of aviation splines leads to the difficulty in direct measurement and notable test error. A spline structure model was established through reasonable simplification and scale design according to the actual spline connection structure of an aero-engine. Simulations were made to determine the spline contact stiffness and its variation with transmission torque and lateral force. A test bench consistent with the simulation model was built to test the contact stiffness. The results showed that when the transverse force was constant, the contact stiffness of the spline increased nonlinearly with the increase of transmission torque, and was inclined to be unchanged gradually. When the spline was under the same torque and lateral force, the contact stiffness of the spline was different during loading and unloading, and the hysteresis phenomenon occurred. The average contact stiffness of splines measured under all torques was 20.48 MN/m. The test and simulation results were in good agreement, with an average error of 8.54%. This study provides a reference for studying the contact stiffness of aviation splines.
| [1] |
《航空发动机设计手册》总编委会. 航空发动机设计手册: 第19册 转子动力学及整机振动[M]. 北京: 航空工业出版社,2001.
|
| [2] |
ZHAO Guang,ZHAO Xiangyang,QIAN Liting,et al. A review of aviation spline research[J]. Lubricants,2023,11(1): 1-19.
|
| [3] |
王永亮,赵广,孙绪聪,等. 航空花键研究综述[J]. 航空制造技术,2017,60(3): 91-100. WANG Yongliang,ZHAO Guang,SUN Xucong,et al. Review on research of aviation spline[J]. Aeronautical Manufacturing Technology,2017,60(3): 91-100. (in Chinese
WANG Yongliang, ZHAO Guang, SUN Xucong, et al. Review on research of aviation spline[J]. Aeronautical Manufacturing Technology, 2017, 60(3): 91-100. (in Chinese)
|
| [4] |
赵广,李盛翔,郭梅,等. 航空花键振动磨损预测与实验[J]. 航空动力学报,2018,33(12): 2958-2964. ZHAO Guang,LI Shengxiang,GUO Mei,et al. Prediction and experiment of vibration wear of aviation spline[J]. Journal of Aero-space Power,2018,33(12): 2958-2964. (in Chinese
ZHAO Guang, LI Shengxiang, GUO Mei, et al. Prediction and experiment of vibration wear of aviation spline[J]. Journal of Aero-space Power, 2018, 33(12): 2958-2964. (in Chinese)
|
| [5] |
CURÀ F,MURA A. Evaluation of the fretting wear damage on crowned splined couplings[J]. Procedia Structural Integrity,2017,5: 1393-1400. doi: 10.1016/j.prostr.2017.07.203
|
| [6] |
肖立,徐颖强,陈智勇,等. 直升机浮动渐开线花键微动磨损影响因素分析[J]. 航空动力学报,2021,36(4): 751-766. XIAO Li,XU Yingqiang,CHEN Zhiyong,et al. Analysis of influencing factors of fretting wear with helicopter floating involute spline[J]. Journal of Aerospace Power,2021,36(4): 751-766. (in Chinese
XIAO Li, XU Yingqiang, CHEN Zhiyong, et al. Analysis of influencing factors of fretting wear with helicopter floating involute spline[J]. Journal of Aerospace Power, 2021, 36(4): 751-766. (in Chinese)
|
| [7] |
MARMOL R A,SMALLEY A J,TECZA J A. Spline coupling induced nonsynchronous rotor vibrations[J]. Journal of Mechanical Design,1980,102(1): 168-176. doi: 10.1115/1.3254709
|
| [8] |
ZHAO Guang,LIU Zhansheng,CHEN Feng. Meshing force of misaligned spline coupling and the influence on rotor system[J]. International Journal of Rotating Machinery,2008,2008(1): 1-8.
|
| [9] |
赵广. 转子-联轴器-轴承—隔振器系统耦合动力学特性研究[D]. 哈尔滨: 哈尔滨工业大学,2009. ZHAO Guang. Study on coupled dynamics of rotor-coupling-bearing-isolator system[D]. Harbin: Harbin Institute of Technology,2009. (in Chinese
ZHAO Guang. Study on coupled dynamics of rotor-coupling-bearing-isolator system[D]. Harbin: Harbin Institute of Technology, 2009. (in Chinese)
|
| [10] |
SILVERS J E,SORENSEN C,CHASE K. A new statistical model for predicting tooth engagement and load sharing in involute splines[C]//American Gear Manufactures Association Fall Technical Meeting 2010. Alexandria,US: American Gear Manufacturers Association,2010: 1-17.
|
| [11] |
HONG J,TALBOT D,KAHRAMAN A. A semi-analytical load distribution model for side-fit involute splines[J]. Mechanism and Machine Theory,2014,76: 39-55. doi: 10.1016/j.mechmachtheory.2014.02.002
|
| [12] |
HONG J,TALBOT D,KAHRAMAN A. A stiffness formulation for spline joints[J]. Journal of Mechanical Design,2016,138(4): 043301. doi: 10.1115/1.4032631
|
| [13] |
陈曦,廖明夫,李全坤. 带套齿联轴器的转子系统动力学特性研究[J]. 推进技术,2015,36(7): 1069-1077. CHEN Xi,LIAO Mingfu,LI Quankun. Dynamic characteristics of a rotor system with a spline coupling[J]. Journal of Propulsion Technology,2015,36(7): 1069-1077. (in Chinese
CHEN Xi, LIAO Mingfu, LI Quankun. Dynamic characteristics of a rotor system with a spline coupling[J]. Journal of Propulsion Technology, 2015, 36(7): 1069-1077. (in Chinese)
|
| [14] |
YU Pingchao,WANG Cun,LIU Yunlong,et al. Analytical modeling of the lateral stiffness of a spline coupling considering teeth engagement and influence on rotor dynamics[J]. European Journal of Mechanics:A Solids,2022,92: 104468. doi: 10.1016/j.euromechsol.2021.104468
|
| [15] |
XUE Xiangzhen,HUO Qixin,DEARN K D,et al. Involute spline couplings in aero-engine: predicting nonlinear dynamic response with mass eccentricity[J]. Proceedings of the Institution of Mechanical Engineers,Part K: Journal of Multi-Body Dynamics,2021,235(1): 75-92.
|
| [16] |
XUE Xiangzhen,HUO Qixin,LIU Jian,et al. Nonlinear dynamic load analysis of aviation spline coupling with mass eccentricity and misalignment[J]. Advances in Mechanical Engineering,2021,13(2):168781402199651.
|
| [17] |
BARROT A,PAREDES M,SARTOR M. Determining both radial pressure distribution and torsional stiffness of involute spline couplings[J]. Proceedings of the Institution of Mechanical Engineers,Part C: Journal of Mechanical Engineering Science,2006,220(12): 1727-1738.
|
| [18] |
BARROT A,PAREDES M,SARTOR M. Extended equations of load distribution in the axial direction in a spline coupling[J]. Engineering Failure Analysis,2009,16(1): 200-211. doi: 10.1016/j.engfailanal.2008.03.001
|
| [19] |
SUM W S,LEEN S B,WILLIAMS E J,et al. Efficient finite element modelling for complex shaft couplings under non-symmetric loading[J]. The Journal of Strain Analysis for Engineering Design,2005,40(7): 655-673. doi: 10.1243/030932405X30858
|
| [20] |
LIU Shuguo,MA Yanhong,ZHANG Dayi,et al. Studies on dynamic characteristics of the joint in the aero-engine rotor system[J]. Mechanical Systems and Signal Processing,2012,29: 120-136. doi: 10.1016/j.ymssp.2011.12.001
|
| [21] |
LIU Shuguo,WANG Jun,HONG Jie,et al. Dynamics design of the aero-engine rotor joint structures based on experimental and numerical study[C]//Proceedings of the ASME Turbo Expo 2010: Power for Land,Sea and Air. Glasgow,US: ASME,2010: 1-12.
|
| [22] |
MEDINA S,OLVER A V. Regimes of contact in spline couplings[J]. Journal of Tribology,2002,124(2): 351-357. doi: 10.1115/1.1403456
|
| [23] |
KU C P R,WALTON J F Jr,LUND J W. Dynamic coefficients of axial spline couplings in high-speed rotating machinery[J]. Journal of Vibration and Acoustics,1994,116(3): 250-256. doi: 10.1115/1.2930421
|
| [24] |
ROBINS R R. Tooth engagement evaluation of involute spline couplings[D]. Provo,US: Brigham Young University,2008.
|
| [25] |
廖仲坤,陈果,王海飞. 套齿联轴器对航空发动机振动特性的影响[J]. 中国机械工程,2015,26(10): 1312-1319. LIAO Zhongkun,CHEN Guo,WANG Haifei. Effects of gear coupling on aero-engine vibration characteristics[J]. China Mechanical Engineering,2015,26(10): 1312-1319. (in Chinese
LIAO Zhongkun, CHEN Guo, WANG Haifei. Effects of gear coupling on aero-engine vibration characteristics[J]. China Mechanical Engineering, 2015, 26(10): 1312-1319. (in Chinese)
|
| [26] |
CURÀ F,MURA A. Experimental procedure for the evaluation of tooth stiffness in spline coupling including angular misalignment[J]. Mechanical Systems and Signal Processing,2013,40(2): 545-555. doi: 10.1016/j.ymssp.2013.06.033
|
| [27] |
O’DONNELL W J. The additional deflection of a cantilever due to the elasticity of the support[J]. Journal of Applied Mechanics,1960,27(3): 461. doi: 10.1115/1.3644025
|
DownLoad:
