[1] BICKFORD J. Handbook of bolts and bolted joints[M]. Boca Raton:CRC Press, 1998. [2] BICKFORD J H. Introduction to the design and behaviour of bolted joints:Nongasketed joints[M]. Boca Raton:CRC press, 2007. [3] 王燕, 刘正平. 设备裂纹故障监测和诊断技术应用[J]. 煤矿机械, 2008, 29(12):210-212. WANG Y, LIU Z P. Summarization of application of device crack fault observation and diagnosis technology[J]. Coal Mine Machinery, 2008, 29(12):210-212(in Chinese). [4] 王新波, 付成勇, 王鑫伟. 某型飞机发动机舱供压导管漏油故障分析[J]. 航空维修与工程, 2017(2):86-87. WANG X B, FU C Y, WANG X W. Failure analysis on oil leakage of pressure vessel for a certain type of aero-engine[J]. Aviation Maintenance & Engineering, 2017(2):86-87(in Chinese). [5] 张敬芬, 赵德有. 工程结构裂纹损伤振动诊断的发展现状和展望[J]. 振动与冲击, 2002(4):21, 22-26. ZHANG J F, ZHAO D Y. Summary review of vibration-based crack diagnosis technique for engineering structures[J]. Journal of Vibration and Shock, 2002(4):21, 22-26(in Chinese). [6] GILLICH G R, AMAN A T, ABDEL W M, et al. Detection of multiple cracks using an energy method applied to the concept of equivalent healthy beam[M]//Lecture Notes in Mechanical Engineering. Singapore:Springer Singapore, 2019:63-78. [7] 朱宏平, 余璟, 张俊兵. 结构损伤动力检测与健康监测研究现状与展望[J]. 工程力学, 2011, 28(2):1-11, 17. ZHU H P, YU J, ZHANG J B. A summary review and advantages of vibration-based damage identification methods in structural health monitoring[J]. Engineering Mechanics, 2011, 28(2):1-11, 17(in Chinese). [8] BALAGEAS D, FRITZEN C P, GEMES A. Structural health monitoring[M]. London:ISTE, 2006. [9] RYTTER A. Vibrational based inspection of civil engineering structures[D]. Aalborg:Aalborg University, 1993. [10] Los Alamos National Laboratory. Linear and nonlinear methods for detecting cracks in beams[R]. New Mexico:Los Alamos National Laboratory, 1995. [11] KRAWCZUK M, OSTACHOWICZ W. Damage indicators for diagnostic of fatigue cracks in structures by vibration measurements-a survey[J]. Journal of Theoretical and Applied Mechanics, 1996, 34(2):307-326. [12] Los Alamos National Laboratory. Damage identification and health monitoring of structural and mechanical systems from changes in their vibration characteristics:A literature review[R]. New Mexico:Los Alamos National Laboratory, 1996. [13] FARRAR C R, DOEBLING S W, NIX D A. Vibration-based structural damage identification[J]. Philosophical Transactions of the Royal Society of London Series A:Mathematical, Physical and Engineering Sciences, 2001, 359(1778):131-149. [14] CARDEN E P, FANNING P. Vibration based condition monitoring:A review[J]. Structural Health Monitoring, 2004, 3(4):355-377. [15] NIKRAVESH S M Y, GOUDARZI M. A review paper on looseness detection methods in bolted structures[J]. Latin American Journal of Solids and Structures, 2017, 14(12):2153-2176. [16] MOTTERSHEAD J E. On the zeros of structural frequency response functions and their sensitivities[J]. Mechanical Systems and Signal Processing, 1998, 12(5):591-597. [17] JOHSON T J. Analysis of dynamic transmissibility as a feature for structural health monitoring[D]. West Lafayette:Purdue University, 2001. [18] CHESNÉ S, DERAEMAEKER A. Damage localization using transmissibility functions:A critical review[J]. Mechanical Systems and Signal Processing, 2013, 38(2):569-584. [19] ZHAO X Y. New methods for structural health monitoring and damage localization[D]. Sheffield:University of Sheffield, 2015. [20] YAN W J, ZHAO M Y, SUN Q, et al. Transmissibility-based system identification for structural health Monitoring:Fundamentals, approaches, and applications[J]. Mechanical Systems and Signal Processing, 2019, 117:453-482. [21] CHEN Q, CHAN Y W, WORDEN K, et al. Structural fault detection using neural networks trained on transmissibility functions[C]//Presented at the proceedings of the International Conference on Vibration Engineering, 1994:456-646. [22] WORDEN K. Structural fault detection using a novelty measure[J]. Journal of Sound and Vibration, 1997, 201(1):85-101. [23] CHEN Q, CHAN Y W, WORDEN K. Structural fault diagnosis and isolation using neural networks based on response-only data[J]. Computers & Structures, 2003, 81(22-23):2165-2172. [24] WORDEN K, MANSON G, FIELLER N R J. Damage detection using outlier analysis[J]. Journal of Sound and Vibration, 2000, 229(3):647-667. [25] PAPATHEOU E, MANSON G, BARTHORPE R J, et al. The use of pseudo-faults for novelty detection in SHM[J]. Journal of Sound and Vibration, 2010, 329(12):2349-2366. [26] BU N, ICHIKI M, UENO N, et al. A flexible piezoelectric film sensor for fault diagnosis of pipe systems[C]//IECON 2007-33rd Annual Conference of the IEEE Industrial Electronics Society. Piscataway:IEEE Press, 2007:2181-2186. [27] YANG W X, LANG Z Q, TIAN W Y. Condition monitoring and damage location of wind turbine blades by frequency response transmissibility analysis[J]. IEEE Transactions on Industrial Electronics, 2015, 62(10):6558-6564. [28] ZHOU Y L, WAHAB M A, PERERA R. Damage detection by transmissibility conception in beam-like structures[C]//Presented at the 4th International Conference on Fracture Fatigue and Wear, 2015, 254-259. [29] MAIA N M M, ALMEIDA R A B, URGUEIRA A P V, et al. Damage detection and quantification using transmissibility[J]. Mechanical Systems and Signal Processing, 2011, 25(7):2475-2483. [30] ZHANG L, LANG Z Q, PAPAELIAS M. Generalized transmissibility damage indicator with application to wind turbine component condition monitoring[J]. IEEE Transactions on Industrial Electronics, 2016, 63(10):6347-6359. [31] LIU W, EWINS D. Transmissibility properties of MDOF systems[C]//Presented at the proceedings of SPIE-The International Society for Optical Engineering, 1998. [32] ZHU D P, YI X H, WANG Y. A local excitation and measurement approach for decentralized damage detection using transmissibility functions[J]. Structural Control and Health Monitoring, 2016, 23(3):487-502. [33] ZHU D P, YI X H, WANG Y, et al. A mobile sensing system for structural health monitoring:design and validation[J]. Smart Materials and Structures, 2010, 19(5):055011. [34] SAMPAIO R P C, MAIA N M M, RIBEÍRO A M R, et al. Transmissibility techniques for damage detection[J]. Proceedings of the International Modal Analysis Conference-IMAC, 2001, 2:1524-1527. [35] LI J, HAO H, XIA Y, et al. Damage detection of shear connectors in bridge structures with transmissibility in frequency domain[J]. International Journal of Structural Stability and Dynamics, 2014, 14(2):1350061. [36] FENG L, YI X H, ZHU D P, et al. Damage detection of metro tunnel structure through transmissibility function and cross correlation analysis using local excitation and measurement[J]. Mechanical Systems and Signal Processing, 2015, 60-61:59-74. [37] KONG X, CAI C S, KONG B. Damage detection based on transmissibility of a vehicle and bridge coupled system[J]. Journal of Engineering Mechanics, 2015, 141(1):04014102. [38] SCHULZ M J. Health monitoring of composite material structures using a vibrometry technique:NAG8-1247[R].Washington,D.C.:NASA, 1998. [39] SCHULZ M J, PAI P F, INMAN D J. Health monitoring and active control of composite structures using piezoceramic patches[J]. Composites Part B:Engineering, 1999, 30(7):713-725. [40] ZHOU Y L, FIGUEIREDO E, MAIA N, et al. Damage detection in structures using a transmissibility-based Mahalanobis distance[J]. Structural Control and Health Monitoring, 2015, 22(10):1209-1222. [41] REN T Q, HUI M L, LIANG J S, et al. Structural state detection using transmissibility and non-negative matrix factorization[J]. International Journal of Signal Processing, Image Processing and Pattern Recognition, 2015, 8(11):309-318. [42] ZHOU Y L, MAIA N M, WAHAB M A. Damage detection using transmissibility compressed by principal component analysis enhanced with distance measure[J]. Journal of Vibration and Control, 2018, 24(10):2001-2019. [43] ZHOU Y L, CAO H Y, LIU Q M, et al. Output-based structural damage detection by using correlation analysis together with transmissibility[J]. Materials (Basel, Switzerland), 2017, 10(8):866. [44] ZHOU Y L, PERERA R. Damage localization via transmissibility power mode shape[C]//Presented at the 5th European-American Workshop on Reliability of NDE, 2013. [45] SCHULZ M J, NASER A S, PAI P F, et al. Detecting Structural damage using transmittance functions[J]. Materials Science, 1997, 638-644. [46] ZHANG H, SCHULZ M J, NASER A, et al. Structural health monitoring using transmittance functions[J]. Mechanical Systems and Signal Processing, 1999, 13(5):765-787. [47] ZHOU Y L, FIGUEIREDO E, MAIA N, et al. Damage detection and quantification using transmissibility coherence analysis[J]. Shock and Vibration, 2015, 2015:1-16. [48] ZHOU Y L, MAIA N M M, SAMPAIO R P C, et al. Structural damage detection using transmissibility together with hierarchical clustering analysis and similarity measure[J]. Structural Health Monitoring, 2017, 16(6):711-731. [49] LUO J, LIU G, HUANG Z M. Damage detection for shear structures based on wavelet spectral transmissibility matrices under nonstationary stochastic excitation[J]. Structural Control and Health Monitoring, 2017, 24(1):e1862. [50] JOHNSON T J, ADAMS D E. Transmissibility as a differential indicator of structural damage[J]. Journal of Vibration and Acoustics, 2002, 124(4):634-641. [51] BROWN R L, ADAMS D E. Equilibrium point damage prognosis models for structural health monitoring[J]. Journal of Sound and Vibration, 2003, 262(3):591-611. [52] JOHNSON T J, BROWN R L, ADAMS D E, et al. Distributed structural health monitoring with a smart sensor array[J]. Mechanical Systems and Signal Processing, 2004, 18(3):555-572. [53] JOHNSON T J, ADAMS D E. Rolling tire diagnostic experiments for identifying incipient bead damage using time, frequency, and phase plane analysis[C]//SAE Technical Paper Series. 400 Commonwealth Drive. Warrendale:SAE International, 2006. [54] HAROON M, ADAMS D E. Development of component-level damage evolution models for mechanical prognosis[J]. Journal of Applied Mechanics, 2008, 75(2):021017. [55] LI X Z, YUE X B, HUANG W. Crack localization using transmissibility of operational deflection shape and its application in cantilever beam[J]. Journal of Applied Mathematics and Physics, 2018, 6(11):2352-2361. [56] PENG Z K, LANG Z Q, BILLINGS S A. Non-linear output frequency response functions of MDOF systems with multiple non-linear components[J]. International Journal of Non-Linear Mechanics, 2007, 42(7):941-958. [57] CHU F L, PENG Z K, LANG Z Q. An effective method for locating nonlinear components in periodic structures[J]. Journal of Physics:Conference Series, 2008, 96:012016. [58] LANG Z Q, PENG Z K. A novel approach for nonlinearity detection in vibrating systems[J]. Journal of Sound and Vibration, 2008, 314(3-5):603-615. [59] 陈民铀, 孙峰, 翟进乾, 等. 基于非线性频率响应函数的输电线路故障在线监测方法[J]. 重庆大学学报, 2010, 33(1):54-60. CHEN M Y, SUN F, ZHAI J Q, et al. The on-line monitoring method of power transmission line fault based non-linear frequency response function[J]. Journal of Chongqing University, 2010, 33(1):54-60(in Chinese). [60] LANG Z Q, PARK G, FARRAR C R, et al. Transmissibility of non-linear output frequency response functions with application in detection and location of damage in MDOF structural systems[J]. International Journal of Non-Linear Mechanics, 2011, 46(6):841-853. [61] LI Z Z, ZHAO D Z, LIU J R. Location of crack faults of hydraulic pipelines based on nonlinear output frequency response function[C]//20158th International Conference on Intelligent Computation Technology and Automation (ICICTA). Piscataway:IEEE Press, 2015:522-525. [62] ZHAO X Y, LANG Z Q, PARK G, et al. A new transmissibility analysis method for detection and location of damage via nonlinear features in MDOF structural systems[J]. IEEE/ASME Transactions on Mechatronics, 2015, 20(4):1933-1947. [63] JING X J. Truncation order and its effect in a class of nonlinear systems[J]. Automatica, 2012, 48(11):2978-2985. [64] JING X J. Nonlinear characteristic output spectrum for nonlinear analysis and design[J]. IEEE/ASME Transactions on Mechatronics, 2014, 19(1):171-183. [65] JING X J, LI Q K. A nonlinear decomposition and regulation method for nonlinearity characterization[J]. Nonlinear Dynamics, 2016, 83(3):1355-1377. [66] LI Q K, JING X J. A second-order output spectrum approach for fault detection of bolt loosening in a satellite-like structure with a sensor chain[J]. Nonlinear Dynamics, 2017, 89(1):587-606. [67] LI Q K, JING X J. Fault diagnosis of bolt loosening in structures with a novel second-order output spectrum-based method[J]. Structural Health Monitoring, 2020, 19(1):123-141. [68] LI Q K, JING X J. A novel second-order output spectrum based local tuning method for locating bolt-loosening faults[J]. Mechanical Systems and Signal Processing, 2021, 147:107104. [69] LI Q K, JING X J, GUO Y Q. The second-order output spectrum-based method for fault localization in ring type structures[J]. Nonlinear Dynamics, 2019, 98(3):1935-1955. [70] LI Q K, JING X J. A systematic second-order output spectrum based method for fault diagnosis with a local tuning approach[J]. Journal of Sound and Vibration, 2020, 475:115283. [71] THOMSON W T, DAHLEH M D. Theory of vibration with applications[M].New York:Pearson Education Inc., 1998. [72] MAIA N M M, SILVA J. Theoretical and experimental modal analysis[M]. Hertfordshire:Research Studies Press LTD, 1997. [73] LI X, ZHANG Y W, DING H, et al. Integration of a nonlinear energy sink and a piezoelectric energy harvester[J]. Applied Mathematics and Mechanics, 2017, 38(7):1019-1030. [74] YAO H L, CAO Y B, WANG Y W, et al. A tri-stable nonlinear energy sink with piecewise stiffness[J]. Journal of Sound and Vibration, 2019, 463:114971. [75] XUE J R, ZHANG Y W, DING H, et al. Vibration reduction evaluation of a linear system with a nonlinear energy sink under a harmonic and random excitation[J]. Applied Mathematics and Mechanics, 2020, 41(1):1-14. [76] WIENER N. Nonlinear problems in random theory[M]. Cambridge:John Wiley and Sons, Inc., 1958. [77] SCHETZEN M. The Volterra and Wiener theories of nonlinear systems[M]. Hoboken:John Wiley and Sons, Inc., 1980. [78] RUG W J. Nonlinear system theory[M]. Baltimore:Johns Hopkins University Press, 1981. [79] JING X J, LANG Z Q. Frequency domain analysis and design of nonlinear systems based on Volterra series expansion[M]. Cham:Springer International Publishing, 2015. [80] ZHANG Y W, XU K F, ZANG J, et al. Dynamic design of a nonlinear energy sink with NiTiNOL-steel wire ropes based on nonlinear output frequency response functions[J]. Applied Mathematics and Mechanics, 2019, 40(12):1791-1804. [81] WANG H, JING X J. Vibration signal-based fault diagnosis in complex structures:A beam-like structure approach[J]. Structural Health Monitoring, 2018, 17(3):472-493. |