Commenced in January 2007
Paper Count: 31598
Multiple Crack Identification Using Frequency Measurement
Abstract:This paper presents a method to detect multiple cracks based on frequency information. When a structure is subjected to dynamic or static loads, cracks may develop and the modal frequencies of the cracked structure may change. To detect cracks in a structure, we construct a high precision wavelet finite element (EF) model of a certain structure using the B-spline wavelet on the interval (BSWI). Cracks can be modeled by rotational springs and added to the FE model. The crack detection database will be obtained by solving that model. Then the crack locations and depths can be determined based on the frequency information from the database. The performance of the proposed method has been numerically verified by a rotor example.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1060513Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1438
 P.F. Rizos, N. Aspragathos, A.D. Dimarogonas, "Identification of crack location and magnitude in a cantilever beam from the vibration modes," J. Sound Vibr., Vol. 138, pp. 381-388, 1990.
 O.S. Salawu, "Detection of structural damage through changes in frequency: A review," Eng. Struct., Vol. 19, pp. 718-723, 1997.
 B.P. Nandwana, S.K. Maiti, "Detection of the location and size of a crack in stepped cantilever beams based on measurements of natural frequencies," J. Sound Vibr., Vol. 203 , pp. 435-446, 1997.
 T.D. Chaudhari, S.K. Maiti, "A study of vibration of geometrically segmented beams with and without crack," Int. J. Solids Struct., Vol. 37, pp. 761-779, 2000.
 M. Kisa, J.Brandon, M.Topcu, "Free vibration analysis of cracked beams by a combination of finite elements and component mode synthesis methods," Comput. Struct., Vol. 67, pp. 215-223 , 1998.
 A.D. Dimarogonas, "Vibration of cracked structures: a state of the art review," Eng. Fract. Mech., Vol. 55, pp. 831-857, 1996.
 S.W. Doebling, C.R. Farrar, M.B. Prime, "A summary review of vibration-based damage identification," Shock Vibr. Digest, Vol. 30, pp. 91-105, 1998.
 D. Montalv├úo, N.M.M. Maia, A.M.R. Ribeiro, "A review of vibration-based structural health monitoring with special emphasis on composite materials," Shock Vibr. Digest, Vol. 38, pp. 1-30, 2006.
 J. Ko, A. J. Kurdila, M. S. Pilant, "Triangular wavelet based finite elements via multivalued scaling equations," Comput. Meth. Appl. Mech. Eng. , Vol. 146, pp. 1-17, 1997.
 C. Canuto, A. Tabacco, and K. Urban, "The wavelet element method part II: realization and additional feature in 2D and 3D," Appl. Comput. Harmon. Anal., Vol. 8, pp. 123-165, 2000.
 P.K. Basu, A.B. Jorge, S. Badri, and J. Lin, "Higher-order modeling of continua by finite-element, boundary-element, Meshless, and wavelet methods," Comput. Math. Appl., Vol. 46, pp. 15-33, 2003.
 J.C. Goswami, A.K. Chan, C.K. Chui, "On solving first-kind integral equations using wavelets on a bounded interval", IEEE Trans. Antennas Propag., Vol. 43, pp. 614-622, 1995.
 J.W. Xiang, Y.T. Zhong, X. F. Chen, Z. He, "Crack detection in a shaft by combination of the new wavelet-based elements and genetic algorithm," Int. J. Solids Struct., Vol. 45, pp. 4782-4795, 2008
 H. Tada, P.C. Paris and G.R. Irwin, The Stress Analysis of Cracks Hand Book, Third Edition, New York, ASME Press, 2000.
 M. Dilena and A.M. Morassi, "Reconstruction method for damage detection in beams based on natural frequency and antiresonant frequency measurements," ASCE J. Engin. Mechan, Vol. 136, pp. 329-344, 2010.