Abstract
Fault diagnosis of shaft cracks plays an important role for the safety and reliability of rotating machineries such as aero-engine, turbopump, wind power generator and internal combustion turbine in modern industrial applications. In this paper, a novel method for diagnosing shaft cracks of rotating machineries based on nonlinear transmissibility function is proposed. In the new method, a nonlinear dynamic model is built to describe the nonlinear behavior of a simply supported rotor with breathing cracks and nonlinear supports (nonlinear bearing damping and stiffness coefficients). Damage features for benchmark and cracked structures are derived respectively, and damage indicator for crack diagnosis is defined as the relative change between damage features. Through two numerical studies simulated by the Matlab software, procedures of proposed method are demonstrated and method’s effectiveness and availability are verified. In the future study, the proposed nonlinear transmissibility function-based crack diagnosis method could be extended and applied for other faults in rotating machineries like unbalance, misalignment, stator-to-rotor rub and support structure looseness and so forth.
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References
Sohn H et al (2003) A review of structural health monitoring literature: 1996–2001. Los Alamos National Laboratory, UAS
Liu R, Yang B, Zio E, Chen X (2018) Artificial intelligence for fault diagnosis of rotating machinery: a review. Mech Syst Sig Process 108:33–47
Worden K, Dulieu-Barton JM (2004) An overview of intelligent fault detection in systems and structures. Struct Health Monit 3(1):85–98
Bently DE, Hatch’Charles T (2003) Fundamentals of rotating machinery diagnostics. Mech Eng CIME 125(12):53–54
Edwards S, Lees AW, Friswell MI (1998) Fault diagnosis of rotating machinery. Shock Vib Digest 30(1):4–13
Wang WJ, Chen J, Wu XK, Wu ZT (2001) The application of some non-linear methods in rotating machinery fault diagnosis. Mech Syst Sig Process 15(4):697–705
Vishwakarma M, Purohit R, Harshlata V, Rajput P (2017) Vibration analysis & condition monitoring for rotating machines: a review. Mater Today Proc 4(2):2659–2664
Muszynska A (1995) Vibrational diagnostics of rotating machinery malfunctions. Int J Rotating Mach 1(3–4):237–266. https://doi.org/10.1155/S1023621X95000108
Xiang J, Chen X, Mo Q, He Z (2007) Identification of crack in a rotor system based on wavelet finite element method. Finite Elem Anal Des 43(14):1068–1081
Dong GM, Chen J, Zou J (2004) Parameter identification of a rotor with an open crack. Eur J Mech A Solids 23(2):325–333
Yu T, Yang Y, Han QK, Yao HL, Wen BC (2007) ANN-based crack identification in rotor system with multi-crack in shaft. Key Eng Mater 353:2463–2466
Rahman AGA, Ismail Z, Noroozi S, Chao OZ (2013) Study of open crack in rotor shaft using changes in frequency response function phase. Int J Damage Mech 22(6):791–807
Zhao J, DeSmidt HA, Yao W (October 2014) Nonlinear breathing behavior study of transverse crack on a Jeffcott rotor under torsional excitation. In: Dynamic systems and control conference, ASME, vol 46193, pp V002T29A001
Babu TR, Sekhar AS (2008) Detection of two cracks in a rotor-bearing system using amplitude deviation curve. J Sound Vib 314(3–5):457–464
Saravanan K, Sekhar AS (2013) Crack detection in a rotor by operational deflection shape and kurtosis using laser vibrometer measurements. J Vib Control 19(8):1227–1239
Zhang C, Li B, Yang Z, Xiao W, He Z (2013) Crack location identification of rotating rotor systems using operating deflection shape data. Sci Chin Technol Sci 56(7):1723–1732
Lu Z, Dong D, Ouyang H, Cao S, Hua C (2017) Localization of breathing cracks in stepped rotors using super-harmonic characteristic deflection shapes based on singular value decomposition in frequency domain. Fatigue Fract Eng Mater Struct 40(11):1825–1837
Yuan XF, Li ZN, Zhao K, Lin YL (2011) Study on method of diagnosing rotor cracks based on generalized frequency response function. Min Mach 39(9)
Fu YD, Li M, Li FP, Gu R (2016) Application of fault diagnosis approach based on Volterra series for hydraulic system of turbine governor. Water Power 42(2):64–70
Yuan XF, Li ZN, Zhao YL (2013) Rotor crack fault diagnosis method based on nonlinear output frequency response function. J Mech Strength 35(2):133–137
Liu Y, Zhao Y, Han J, Meng Q, Yao H (2019) Combination algorithm for cracked rotor fault diagnosis based on NOFRFs and HHR. J Mech Sci Technol 33(4):1585–1593
Li QK, Jing XJ (2021) A novel second-order output spectrum based local tuning method for locating bolt-loosening faults. Mech Syst Sig Process 147:107104
Li QK, Jing XJ (2020) A systematic second-order output spectrum-based method for fault diagnosis with a local tuning approach. J Sound Vib 475:115283
Matsushita O, Tanaka M, Kanki H, Kobayashi M, Keogh P (2017) Vibrations of rotating machinery. Springer, Berlin. https://doi.org/10.1007/978-4-431-55456-1
Lv, W.L.: Strength checking for aero-engine. Nanjing University of Aeronautics and Astronautics Press (2009)
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This work is supported by “the Fundamental Research Funds for the Central Universities (No. 31020200QD705)”.
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Li, Q., Wang, R., Liao, M., Shi, B. (2022). A Novel Nonlinear Transmissibility Function-Based Method for Diagnosing Shaft Cracks of Rotating Machineries. In: Jing, X., Ding, H., Wang, J. (eds) Advances in Applied Nonlinear Dynamics, Vibration and Control -2021. ICANDVC 2021. Lecture Notes in Electrical Engineering, vol 799. Springer, Singapore. https://doi.org/10.1007/978-981-16-5912-6_8
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DOI: https://doi.org/10.1007/978-981-16-5912-6_8
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