[1] 王建军,李其汉,李润方.齿轮系统非线性振动研究进展[J].力学进展,2005,35(1):37-51.WANG Jian-jun, LI Qi-han, LI Run-fang. Research advances for nonlinear vibration of gear transmission systems[J]. Advances in Mechanics, 2005, 35(1): 37-51.(in Chinese)
[2] FARSHIDIANFAR A, SAGHAFI A. Global bifurcation and chaos analysis in nonlinear vibration of spur gear systems[J]. Nonlinear Dynamics, 2014, 75(4): 783-806.
[3] YANG Zheng, SHANG Jian-zhong, LUO Zi-rong, et al. Nonlinear dynamics modeling and analysis of torsional spring-loaded antibacklash gear with time-varying meshing stiffness and friction[J]. Advances in Mechanical Engineering, 2013, 2013(1): 1-17.
[4] 张 伟,陈予恕.含有参数激励非线性动力系统的现代理论的发展[J].力学进展,1998,28(1):1-16.ZHANG Wei, CHEN Yu-shu. Development of modern theory of nonlinear dynamical systems with parametric excitations[J]. Advances in Mechanics, 1998, 28(1): 1-16.(in Chinese)
[5] KAHRAMAN A, SINGH R. Interactions between time-varying mesh stiffness and clearance non-linearities in a geared system[J]. Journal of Sound and Vibration, 1991, 146(1): 135-156.
[6] KAHRAMAN A, BLANKENSHIP G W. Experiments on nonlinear dynamic behavior of an oscillator with clearance and periodically time-varying parameters[J]. Journal of Applied Mechanics, 1997, 64(1): 217-226.
[7] KAHRAMAN A, Effect of axial vibrations on the dynamics of a helical gear pair[J]. Journal of Vibration and Acoustics, 1993, 115(1): 33-39.
[8] KAHRAMAN A, SINGH R. Nonlinear dynamics of a geared rotor-bearing system with multiple clearances[J]. Journal of Sound and Vibration, 1991, 143(3): 469-506.
[9] BENTON M, SEIREG A. Factors influencing instability and resonances in geared systems[J]. Journal of Mechanical Design, 1981, 103(2): 372-378.
[10] BENTON M, SEIREG A. A dynamic absorber for gear systems operating in resonance and instability regions[J]. Journal of Mechanical Design, 1981, 103(2): 364-371.
[11] RAGHOTHAMA A, NARAYANAN S. Bifurcation and chaos in geared rotor bearing system by incremental harmonic balance method[J]. Journal of Sound and Vibration, 1999, 226(3): 469-492.
[12] SEYRANIAN A P, SOLEM F, PEDERSEN P. Multi-parameter linear periodic systems: sensitivity analysis and applications[J]. Journal of Sound and Vibration, 2000, 229(1): 89-111.
[13] BLANKENSHIP G W, KAHRAMAN A. Steady state forced response of a mechanical oscillator with combined parametric excitation and clearance type non-linearity[J]. Journal of Sound and Vibration, 1995, 185(5): 743-765.
[14] BLANKENSHIP G W, SINGH R. A new gear mesh interface dynamic model to predict multi-dimensional force coupling and excitation[J]. Mechanism and Machine Theory, 1995, 30(1): 43-57.
[15] BLANKENSHIP G W, SINGH R. Dynamic force transmissibility in helical gear pairs[J]. Mechanism and Machine Theory, 1995, 30(3): 323-339.
[16] 姚 远,张红军,罗 赟,等.机车传动系统扭转与轮对纵向耦合振动稳定性[J].交通运输工程学报,2009,9(1):17-20.YAO Yuan, ZHANG Hong-jun, LUO Yun, et al. Torsional-longitudinal coupling vibration stability of drive system for locomotive[J]. Journal of Traffic and Transportation Engineering, 2009, 9(1): 17-20.(in Chinese)
[17] 孙 涛,沈允文,孙智民,等.行星齿轮传动非线性动力学方程求解与动态特性分析[J].机械工程学报,2002,38(3):11-15.SUN Tao, SHEN Yu-wen, SUN Zhi-min, et al. Behavior of planetary gear train solution and dynamic behavior analysis[J]. Chinese Journal of Mechanical Engineering, 2002, 38(3): 11-15.(in Chinese)
[18] 朱才朝,黄泽好,唐 倩,等.风力发电齿轮箱系统耦合非线性动态特性的研究[J].机械工程学报,2005,41(8):203-207.ZHU Cai-chao, HUANG Ze-hao, TANG Qian, et al. Analysis of nonlinear coupling dynamic characteristics of gearbox system about wind-driven generator[J]. Chinese Journal of Mechanical Engineering, 2005, 41(8): 203-207.(in Chinese)
[19] SIRICHAI S. Torsional properties of spur gears in mesh using nonlinear finite element analysis[D]. Perth: Curtin University of Technology, 1999.
[20] 王建军,洪 涛,吴仁智,等.齿轮系统参数振动问题研究综述[J].振动与冲击,1997,16(4):69-73,97.WANG Jian-jun, HONG Tao, WU Ren-zhi, et al. Researches on parametric vibration of gear transmission systems—a review[J]. Journal of Vibration and Shock, 1997, 16(4): 69-73, 97.(in Chinese)