[1] 陈予恕. 旋转机械发展中的若干非线性动力学问题[C]//中国力学学会学术大会2009论文摘要集. 郑州: 郑州大学, 2009: 1. CHEN Y S. Some nonlinear dynamics problems in the development of rotating machinery[C]//Abstract Collection of 2009 Papers of the Academic Conference of the Chinese Society of Mechanics. Zhengzhou: Zhengzhou University, 2009: 1 (in Chinese). [2] BROWN H W. A reliable spline coupling[J]. Journal of Engineering for Industry, 1979, 101(4): 421-426. [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 Y L, ZHAO G, SUN X C, et al. Review on research of aviation spline[J]. Aeronautical Manufacturing Technology, 2017, 60(3): 91-100(in Chinese). [4] WALTON J, ARTILES A, LUND J, et al. Internal rotor friction instability: MTI-88TR39[R]. Alabama: National Aeronautics and Space Administration, 1990. [5] KUSHUL M Y. The self-induced oscillations of rotors[M]. New York: Consultants Bureau, 1964: 5. [6] GUNTER E J. Dynamic stability of rotor bearing systems: NASA SP-113[R]. Washington, D.C.: National Aeronautics and Space Administration, 1967. [7] NIKOLAJSEN J L. Spline instability in high speed rotors: AD-A238 666[R]. Texas: U.S. Army Research Office, 1991. [8] 康丽霞, 曹义华, 梅庆. 直升机传动系统花键连接轴的动力失稳[J]. 北京航空航天大学学报, 2010, 36(6): 645-649. KANG L X, CAO Y H, MEI Q. Dynamic instability of helicopter transmission rotating shafts with spline coupling[J]. Journal of Beijing University of Aeronautics and Astronautics, 2010, 36(6): 645-649(in Chinese). [9] 沈心敏, 刘雨川, 马纲. 航空燃气轮机摩擦学[M]. 北京:北京航空航天大学出版社, 2008: 319. SHEN X M, LIU Y C, MA G. Tribology for aero-gas turbine engines[M]. Beijing: Beijing University of Aeronautics and Astronautics Press, 2008: 319(in Chinese). [10] BO L C, PAVELESCU D. The friction-speed relation and its influence on the critical velocity of stick-slip motion[J]. Wear, 1982, 82(3): 277-289. [11] KARNOPP D. Computer simulation of stick-slip friction in mechanical dynamic systems[J]. Journal of Dynamic Systems Measurement and Control, 1985, 107(1): 100-103. [12] CANUDAS C D W, OLSSIN H, ASTROM K J, et al. A new model for control of systems with friction[J]. IEEE Transactions on Automatic Control, 1995, 40(3): 419-425. [13] 高腾. 花键连接转子系统稳定性研究[D]. 上海: 上海交通大学, 2016: 32-33. GAO T. Research on the stability of spline connected rotor system[D]. Shanghai: Shanghai Jiao Tong University, 2016: 32-33(in Chinese). [14] BENEDICT G, KELLY B W. Instantaneous coefficients of gear tooth friction[J]. ASLE Transactions, 1961, 4(1), 59-70. [15] KU C P R, JR J F W, 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. [16] 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. [17] RATSIMBA C H H, MCCOLL I R, WILLIAMS E J, et al. Measurement, analysis and prediction of fretting wear damage in a representative aeroengine spline coupling[J]. Wear, 2004, 257(11): 1193-1206. [18] HOUGHTON D, WAVISH P M, WILLIAMS E J, et al. Improved correlation of measured and predicted hysteresis loops in a multiaxial fretting fatigue test rig for spline couplings[J]. Applied Mechanics and Materials, 2007, 7-8: 37-42. [19] 薛向珍, 霍启新, 郑甲红, 等. 基于齿向修形的航空渐开线花键副抗微动磨损研究[J]. 中国机械工程, 2019, 30(20): 2447-2455, 2479. XUE X Z, HUO Q X, ZHENG J H, et al. Investigation on improving fretting wears of aeroengine involute spline couplings based on tooth profile modification[J]. China Mechanical Engineering, 2019, 30(20): 2447-2455, 2479(in Chinese). [20] XUE X Z, WANG S M, LI B. Modification methodology of fretting wear in involute spline[J]. Wear, 2016, 368-369: 435-444. [21] PARK S K. Determination of loose spline coupling coefficients of rotor bearing systems in turbomachinery[D]. Texas: Texas A & M University, 1991: 103-170. [22] ADRIEN B, MANUEL P, MARC S. 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. [23] BARROT A, SARTOR M, PAREDES M. Investigation of torsional teeth stiffness and second moment of area calculations for an analytical model of spline coupling behaviour[J]. Proceedings of the Institution of Mechanical Engineers Part C-Journal of Mechanical Engineering Science, 2008, 222(6): 891-902. [24] 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. [25] ROBINS R R. Tooth engagement evaluation of involute spline couplings[D]. Provo: Brigham Young University, 2008: 19-26. [26] CHASE K W, SORENSEN C D, DECAIRES B J K. Variation analysis of tooth engagement and loads in involute splines[J]. IEEE Transactions on Automation Science and Engineering, 2010, 7(4): 746-754. [27] CURA 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. [28] 朱彬, 杨诚, 刘烨辉, 等. 套齿连接结构力学模型及其刚度影响因素[J]. 机械设计与制造, 2019(增刊1): 86-90, 94. ZHU B, YANG C, LIU Y H, et al. Mechanical modeling for the spline joint and the influence factors investigation for its stiffness[J]. Machinery Design and Manufacture, 2019(S1): 86-90, 94(in Chinese). [29] 彭和平, 李志明. 扭杆弹簧端部花键承载能力与加工精度间数值关系的研究[J]. 机械, 2004, 31(5): 20-23,38. PENG H P, LI Z M. A research on the numerical relations between the load capacity and making precision of spline on the ends of torsion bar spring[J]. Machinery, 2004, 31(5): 20-23,38(in Chinese). [30] CURA F, MURA A, GRAVINA M. Load distribution in spline coupling teeth with parallel offset misalignment[J]. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 2013, 227(10): 2195-2205. [31] 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. [32] BAKER J G. Self-induced vibrations[J]. Journal of Applied Mechanics of the ASME, 1933, 1(1): 5-12. [33] ENRICH F F. Shaft whirl induced by rotor internal damping[J]. Journal of Applied Mechanics, 1964, 6: 279-282. [34] WILLIAMS R, TRENT R. The effect of nonlinear asymmetric supports on turbine engine rotor stability[J]. SAE Transactions, 1970, 79: 1010-1020. [35] VANCE J M, LEE J. Stability of high speed rotors with internal friction[J]. Journal of Engineering for Industry-Transactions of the AMSE, 1974, 96(3): 960-968. [36] MARMOL R A. Engine rotor dynamics, synchronous and nonsynchronous whirl control: USARTL-TR-79-2[R]. Florida: Army Research and Technology Labs, 1979. [37] BENTLY D E, MUSZYNSKA A. Rotor internal friction instability N86-30187[R]. Cleveland: NASA. Lewis Research Center Instability in Rotating Machinery, 1985. [38] NATARAJ C, NELSON H D, ARAKERE N. Effect of coulomb spline on rotor dynamic response: N86-30160[R]. Cleveland: NASA. Lewis Research Center Instability in Rotating Machinery, 1985. [39] ARTILES A F. The effects of friction in axial splines on rotor system stability[J]. Journal of Engineering for Gas Turbines and Power, 1993, 115(2): 272-278. [40] BACHSCHMID N, CURAMI A, PETRONE F. Vibrational behaviour of rotors with gear couplings in case of insufficient coupling lubrication[M]. London: Springer, 1992: 232-233. [41] AL-HUSSAIN K M. Dynamic stability of two rigid rotors connected by a flexible coupling with angular misalignment[J]. Journal of Sound and Vibration, 2003, 266(2): 217-234. [42] BROMMUNDT E, KRAMER E. Instability and self-excitation caused by a gear coupling in a simple rotor system[J]. Forschung Im Ingenieurwesen-engineering Research, 2005, 70(1): 25-37. [43] 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: 93-103. ZHAO G. Study on coupled dynamics of rotor-coupling-bearing-isolator system[D]. Harbin: Harbin Institute of Technology, 2009: 93-103 (in Chinese). [44] ZHAO G, LIU Z S, CHEN F. Meshing force of misaligned spline coupling and the influence on rotor system[J]. International Journal of Rotating Machinery, 2008, 2008: 1-8. [45] 赵广, 刘占生, 陈锋, 等. 花键联轴器对转子-轴承系统稳定性影响研究[J]. 振动工程学报, 2009, 22(3): 280-286. ZHAO G, LIU Z S, CHEN F, et al. Influences of spline coupling on stability of rotor-bearing system[J]. Journal of Vibration Engineering, 2009, 22(3): 280-286(in Chinese). [46] 赵广, 龙鑫, 葛存飞, 等. 联轴器对转子-轴承系统稳定性影响[C]//第9届全国转子动力学学术讨论会ROTDYN’ 2010论文集. 贵阳: 中国振动工程学会, 2010: 3. ZHAO G, LONG X, GE C F, et al. Study on stability of rotor-bearing systems with different types of coupling[C]//Proceedings of the 9th National Symposium on Rotor Dynamics ROTDYN’ 2010. Guiyang: Chinese Society of Vibration Engineering, 2010: 3 (in Chinese). [47] 薛向珍, 王三民, 袁茹. 渐开线花键连接的非线性动力学特性[J]. 哈尔滨工业大学学报, 2015, 47(1): 107-111. XUE X Z, WANG S M, YUAN R. Nonlinear dynamic characteristics of involute spline couplings[J]. Journal of Harbin Institute of Technology, 2015, 47(1): 107-111(in Chinese). [48] 高腾, 荆建平, 梅庆, 等. 花键连接转子系统稳定性研究[J]. 噪声与振动控制, 2016, 36(2): 40-45. GAO T, JING J P, MEI Q, et al. Stability analysis of spline connected rotor system[J]. Noise and Vibration Control, 2016, 36(2): 40-45(in Chinese). [49] ZHU H M, CHEN W F, ZHU R P, et al. Modelling and dynamic analysis of spline-connected multi-span rotor system[J]. Meccanica, 2020, 55(6): 1413-1433. [50] MONTAGNIER O, HOCHARD C. Dynamic instability of supercritical driveshafts mounted on dissipative supports-effects of viscous and hysteretic internal damping[J]. Journal of Sound and Vibration, 2007, 305(3): 378-400. [51] VATTA F, VIGLIANI A. Internal damping in rotating shafts[J]. Mechanism and Machine Theory, 2008, 43(11): 1376-1384. [52] DIMENTBERG M F. Vibration of a rotating shaft with randomly varying internal damping[J]. Journal of Sound and Vibration, 2005, 285(3): 759-765. [53] 李明, 姜培林, 虞烈. 轴承-转子-齿轮联轴器系统的振动研究[J]. 机械工程学报, 1998, 34(3): 39-45. LI M, JIANG P L, YU L. Research on vibration of bearing-rotor-gear coupling system[J]. Journal of Mechanical Engineering, 1998, 34(3): 39-45 (in Chinese). [54] LI M, YU L. Analysis of the coupled lateral torsional vibration of a rotor-bearing system with a misaligned gear coupling[J]. Journal of Sound and Vibration, 2001, 243(2): 283-300. [55] 梅庆, 力宁. 弹性联轴器动力特性分析与实验研究[J]. 振动与冲击, 2008, 27(6): 128-131, 192. MEI Q, LI N. Dynamic characteristics analysis and test of an elastic coupling[J]. Journal of Vibration and Shock, 2008, 27(6): 128-131, 192(in Chinese). [56] 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 X, LIAO M F, LI Q K. Dynamic characteristics of a rotor system with a spline coupling[J]. Journal of Propulsion Technology, 2015, 36(7): 1069-1077(in Chinese). [57] LIU S G, MA Y H, ZHANG D Y, 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. [58] LIU S G, WANG J, HONG J, et al. Dynamics design of the aero-engine rotor joint structures based on experimental and numerical study[C]//Proceedings of ASME Turbo Expo 2010: Power for Land, Sea, and Air. 2010: 49-60. |