|
|
|
| Fatigue crack growth life prediction for a notched beam based on modal frequency |
| LIU Wenguang, WANG Yaobin |
| School of Aeronautic Manufacturing Engineering, Nanchang Hangkong University, Nanchang 330063, China |
|
|
|
|
Abstract Starting from tests of notched beams, fatigue crack growth characteristics and change law of modal frequencies for a V shape-notched cantilever beam under cyclic loads were studied to analyze the relation between modal frequencies and crack growth increment. Crack growth increment was taken as damage parameter to establish the relation between the decline rate of the first order modal frequency and damage parameter. Then, an evolution model for crack damage versus cyclic loading number was set up based on the damage mechanics. A prediction method of fatigue crack growth life was proposed for a cantilever notched beam based on the decline rate of modal frequency using the relation between modal frequency decline rate and crack damage parameter to realize predicting residual fatigue crack growth life of a cantilever beam based on the current crack damage and the corresponding loading cycle number. Results showed that the modal frequency decline rate is sensitive to the fatigue crack growth life of a notched beam; the fatigue crack growth life predicted using the proposed method is basically consistent to the measured one.
|
|
Received: 19 July 2018
Published: 28 December 2019
|
|
|
|
[1] AHMED Y, MARYAM G T, NEIL F. Dynamic behavior of a rotating cracked beam[J]. Journal of Physics: Conference Series. IOP Publishing, 2016, 744(1):1-15.
[2] RAMESH L, RAO P. S, KUMAR K. C. K, et al. Experimental and finite element model analysis of an un-cracked and cracked cantilever beam[J]. International Journal of Advanced Research in Science, Engineering and Technology, 2016,3(1): 1266-1274.
[3] MA H, ZENG J, LANG Z, GUO Y, et al. Analysis of the dynamic characteristics of a slant-cracked cantilever beam[J]. Mechanical Systems and Signal Processing, 2016,75(15):261-279.
[4] NGUYEN K V. Mode shapes analysis of a cracked beam and its application for crack detection[J]. Journal of Sound and Vibration, 2014,333(3): 848-872.
[5] NEJAD F B, KHORRAM A, REZAEIAN M. Analytical estimation of natural frequencies and mode shapes of a beam having two cracks[J]. International Journal of Mechanical Sciences, 2014,78:193-202.
[6] REZAEE M, HASSANNEJAD R. Free vibration analysis of simply supported beam with breathing crack using perturbation method[J]. Acta Mechanica Solida Sinica, 2010,23(5):459-470.
[7] LIU W, BARKEY M E. Nonlinear vibrational response of a single edge cracked beam[J]. Journal of Mechanical Science and Technology, 2017, 31(11):5231-5243.
[8] CADDEMI S, CALIO I. The influence of the axial force on the vibration of the Euler–Bernoulli beam with an arbitrary number of cracks[J]. Archive of Applied Mechanics, 2012,82(6):827-839.
[9] MATUBLY M S, RAGB O, NASSAR M. Natural frequencies of a functionally graded cracked beam using the differential quadrature method[J]. Applied Mathematics and Computation, 2009,215(6):2307 -2316.
[10] 刘文光,陈国平.考虑裂纹表面摩擦阻尼的振动疲劳裂纹扩展分析[J].振动与冲击,2012,31(5): 42-45.
[11] LIU Wenguang, CHEN Guoping. Vibration fatigue crack growth considering crack surface friction damping [J]. Journal of Vibration and Shock, 2012, 31(5): 42-45.
[12] 刘文光,陈国平.含裂纹悬臂梁的振动与疲劳耦合分析[J]. 振动与冲击, 2011, 30(5):140-144.
[13] LIU Wenguang, CHEN Guoping. Coupling analysis for vibration and fatigue of a cracked cantilever beam [J]. Journal of Vibration and Shock, 2011, 30(5): 140-144.
[14] DONG G M, CHEN J, ZOU J. Parameter identification of a rotor with an open crack[J]. European Journal of Mechanics-A/Solids, 2004, 23(2):325-333.
[15] RUBIO L, SAEZ J F, MORASSI A. Identification of an open crack in a beam with variable profile by two resonant frequencies[J]. Journal of Vibration and Control, 2016,24(5):1-21.
[16] SAYYAD F B, KUMAR B. Theoretical and experimental study for identification of crack in cantilever beam by measurement of natural frequencies[J]. Journal of Vibration and Control, 2010 ,17(8):1-6.
[17] KHIEM N T, TOAN L K. A novel method for crack detection in beam-like structures by measurements of natural frequencies[J]. Journal of Sound and Vibration, 2014,333(18):4084-4103.
[18] OWOLABI G M, SWAMIDAS A S J, SESHADRI R. Crack detection in beams using changes in frequencies and amplitudes of frequency response functions[J]. Journal of sound and vibration, 2003, 265(1):1-22.
[19] CHEN X F, HE Z J, XIANG J W. Experiments on crack identification in cantilever beams[J]. Experimental mechanics, 2005,45(3):295-300.
[20] KAM T Y, LEE T Y. Detection of cracks in structures using modal test data[J]. Engineering Fracture Mechanics, 1992,42(2): 381-387.
[21] LIU W, BARKEY M. E. Frequency error-based identification of cracks in beam-like structures[J]. Journal of Mechanical Science and Technology, 2017, 31(10):4657-4667.
[22] LIANG R Y, CHOY F K, HU J. Detection of cracks in beam structures using measurements of natural frequencies[J]. Journal of the Franklin Institute, 1991,328(4):505-518.
[23] KIM J T, STUBBS N. Crack detection in beam type structures using frequency data[J]. Journal of Sound and Vibration, 2003,259(1):145-160.
[24] MOEZI S A, ZAKERI E, ZARE A, et al. On the application of modified cuckoo optimization algorithm to the crack detection problem of cantilever Euler–Bernoulli beam[J]. Computers and Structures, 2015,157:42-50.
|
|
|
|
