[1] Jun O S. Dynamic behavior analysis of cracked rotor based on harmonic motion[J]. Mechanical Systems and Signal Processing, 2004, 30(7): 186-203. [2] AL-Shudeifat M A. On the finite element modeling of the asymmetric cracked rotor[J]. Journal of Sound and Vibration, 2013, 332(11): 2795-2807. [3] AL-Shudeifat M A, Butcher E R, Stern C R. General harmonic balance solution of a cracked rotor-bearing-disk system for harmonic and sub-harmonic analysis: analytical and experimental approach[J]. International Journal of Engineering Science, 2010, 48(10): 921-935. [4] Bachschmid N, Pennacchi P, Tanzi E. A sensitivity analysis of vibrations in cracked turbogenerator units versus crack position and depth [J]. Mechanical Systems and Signal Processing, 2010, 24(3): 844-859. [5] Sinou J J. Detection of cracks in rotor based on the 2× and 3× super-harmonic frequency components and the crack-unbalance interactions[J]. Numerical Simulation, 2008, 13(9): 2024-2040. [6] Robert G. Dynamic behaviour of the Laval rotor with a transverse crack[J]. Mechanical Systems and Signal Processing, 2008, 22(4): 790-804. [7] Stoisser C M, S Audebert. A comprehensive theoretical, numerical and experimental approach for crack detection in power plant rotating machinery[J]. Mechanical Systems and Signal Processing, 2008, 22(4): 818-844. [8] 员险锋, 李志农, 林言丽. 基于非线性输出频率响应函数的裂纹故障诊断方法研究[J]. 机械强度, 2013, 35(2): 133-137. YUAN Xian-feng, LI Zhi-nong, LIN Yan-li. Rotor crack fault diagnosis method based on nonlinear output frequency response function[J]. Journal of Mechanical Strength, 2013, 35(2): 133-137.(in Chinese) [9] 陈雪峰, 向家伟, 董洪波, 等. 基于区间B样条小波有限元的转子裂纹定量识别[J]. 机械工程学报, 2007, 43(3): 123-127. CHEN Xue-feng, XIANG Jia-wei, DONG Hong-bo,et al. Quantitative identification of rotor cracks based on finite element of B-spline wavelet on the interval[J]. Journal of Mechanical Engineering, 2007, 43(3): 123-127. (in Chinese) [10] Sekhar A S. Crack identification in a rotor system: a model-based approach[J]. Journal of Sound and Vibration, 2004, 270(4/5): 887-902. [11] Tenreiro M J A, Silva M F, Barbosa R S, et al. Some applications of fractional calculus in engineering[J]. Mathematical Problems in Engineering, 2010, 2010: 1-34. [12] 周激流,蒲亦非,廖科. 分数阶微积分原理及其在现代信号分析 与处理中的应用[M]. 北京:科学出版社, 2010:86-99. ZHOU Ji-liu, PU Yi-fei, LIAO Ke. Research on application of fractional calculus to latest signal analysis and processing[M]. Bejing: Science Press, 2010: 86-99.(in Chinese) [13] Alberto S, Pietro C, Alberto C. Wave propagation in nonlocal elastic continua modelled by a fractional calculus approach[J]. Communications in Nonlinear Science and Numerical Simulation, 2013, 18(1): 63-74. [14] Richard L M. Fractional calculus models of complex dynamics in biological tissues[J]. Computers & Mathematics with Applications, 2010, 59(5): 1586-1593. [15] Roberto G, Federico P. Fractional calculus modelling for unsteady unidirectional flow of incompressible fluids with time-dependent viscosity[J]. Communications in Nonlinear Science and Numerical Simulation, 2012, 17(12): 5073-5078. [16] 曹军义, 曹秉刚. 分数阶控制器离散方法的评估策略研究[J]. 西安交通大学学报, 2007, 41(7): 842-846. CAO Jun-yi, CAO Bing-gang. Evaluation strategies of fractional order controllers discretization methods[J]. Journal of Xi'an Jiaotong University, 2007, 41(7): 842-846. (in Chinese) [17] 曹军义, 谢航, 蒋庄德. 分数阶阻尼Duffing系统的非线性动力 学特性[J]. 西安交通大学学报, 2009, 43(3): 50-54. CAO Jun-yi, XIE Hang, JIANG Zhuang-de. Nonlinear dynamics of Duffing system with fractional order damping[J]. Journal of Xi'an Jiaotong University, 2009, 43(3): 50-54.(in Chinese) [18] Rossikhin Y A, Shitikov M Y. Application of fractional calculus for dynamic problems of solid mechanics: novel trends and recent results[J]. Applided Mechanics Reviews, 2010, 63(1): 1-52. [19] 薛士明, 曹军义, 林京, 等. 分数阶阻尼裂纹转子的非线性动力学 特性分析[J]. 西安交通大学学报, 2012, 46(1): 76-80. XUE Shi-ming, CAO Jun-yi, LIN Jing, et al. Influences of fractional order damping on nonlinear dynamics of cracked rotor[J]. Journal of Xi'an Jiaotong University, 2012, 46(1): 76-80.(in Chinese) [20] Cao J, Xue S, Lin J, et al. Nonlinear dynamic analysis of a cracked rotor-bearing system with fractional order damping[J]. Journal of Computational and Nonlinear Dynamics, 2013, 8(3):21-34. [21] Cottone G, Paola M D, Butera S. Stochastic dynamics of nonlinear systems with a fractional power-law nonlinear term: the fractional calculus approach[J]. Probabilistic Engineering Mechanics, 2011, 26(1): 101-108. [22] 王 在华, 胡海岩. 含分数阶导数阻尼的线性振动系统的稳定性 [J]. 中国科学:G辑, 2009, 39(10): 1495-1502. WANG Zai-hua, HU Hai-yan. Stability of a linear oscillator with damping force of the fractional-order derivative[J]. Science China: Ser G, 2009,39(10): 1495-1502. (in Chinese) [23] Gasch R. A survey of the dynamic behaviour of a simple rotating shaft with a transverse crack[J]. Journal of Sound and Vibration, 1993, 160(2): 313-332. [24] Mayes I W, Davies W G R. A method of calculating the vibrational behaviour of coupled rotating shafts containing a transverse crack[C]//Proceedings of the 2nd International Conference on Vibrations in Rotating Machinery. Cambridge, UK: the Institution of Mechanical Engineers,1980:17-27. [25] 曾复, 吴昭同, 严拱标. 裂纹转子的分岔与混沌特性分析[J]. 振动与冲击, 2000, 19(1): 40-42. ZENG Fu, WU Zhao-tong, YAN Gong-biao. Analysis of bifurcation and chaos on a cracked rotor[J]. Journal of Vibration and Shock, 2000, 19(1): 40-42.(in Chinese) |