Abstract
In this paper, dynamic behavior of free transverse vibration of an isotropic beam having single crack has been captured for cantilever boundary condition. Condition of the crack is granted stay open throughout the operation. The free vibration experimentation is carried out by exciting the system at its deflected configuration with the blow of a hammer of soft rubber, and the feedback is collected by applying an accelerometer mounted on the test specimen. Then, finite element model of beam with different boundary conditions with single and multiple open and breathing transverse cracks is developed in ANSYS environment. Followed by cracked beam is modeled and three-dimensional FEM analysis is implemented using ANSYS. Comparison studies of experimental result with finite element analysis are executed. Results collected by the experimentation are applied in cascade neural network, genetic algorithm, and cascade neuro-GA crack identification optimization techniques. The ‘Inverse problem’ consists of calculating the damage parameters from the frequency shifts of crack beams. The merit and demerit of these optimization techniques are focused.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Chondros, T.G., Dimarogonas, A.D.: Identification of cracks in welded joints of complex structures. J. Sound Vib. 69, 531–538 (1980)
Sekhar, A.S., Prabhu, B.S.: Crack detection and vibration characteristics of cracked shaft. J. Sound Vib. 157, 375–381 (1992)
Saavedra, P.N., Quitino, L.A.: Crack detection and vibration behavior of cracked beams. Comput. Struct. 79, 1451–1459 (2001)
Sinha, J.K., Friswell, M.I.: Simulation of the dynamic response of a cracked beam. Comput. Struct. 80, 1473–1476 (2002)
Zheng, D.Y., Kessissoglou, N.J.: Free vibration analysis of a cracked beam by finite element method. J. Sound Vib. 273, 457–475 (2004)
Nahvi, H., Jabbari, M.: Crack detection in beams using experimental modal data and finite element model. Int. J. Mech. Sci. 47, 1477–1497 (2005)
Patil, D.P., Maiti, S.K.: Experimental verification of a method of detection of multiple cracks in beams based on frequency measurements. J. Sound Vib. 281, 439–451 (2005)
Choubey, A., Sehga, D.K., Tandon, N.: Finite element analysis of vessels to study changes in natural frequencies due to cracks. Int. J. Press. Vessels Pip. 83, 181–187 (2006)
Orhan, S.: Crack detection in beams using experimental modal data and finite element model. NDT&E Int. 40, 443–450 (2007)
Chondros, T.G., Labeas, G.N.: Torsional vibration of a cracked rod by variational formulation and numerical analysis. J. Sound Vib. 301, 994–1006 (2007)
Yoon, H.I., Son, I.S., Ahn, S.J.: Free vibration analysis of Euler Bernoulli beam with double cracks. J. Mech. Sci. Technol. 21, 476–485 (2007)
Saridakis, K.M., Chasalevris, A.C., Papadopoulos, C.A., Dentsoras, A.J.: Applying neural networks, genetic algorithms and fuzzy logic for the identification of cracks in shafts by using coupled response measurements. Comput. Struct. 86, 1318–1338 (2008)
Park, J.H., Kim, J.T., Hong, D.S., Ho, D.D., Yi, J.H.: Sequential damage detection approaches for beams using time-modal features and artificial neural networks. J. Sound Vib. 323, 451–474 (2009)
Singh, S.K., Tiwari, R.: Identification of multiple crack in a shaft system using transverse frequency response functions. Mech. Mach. Theor. 45, 1813–1827 (2010)
Parhi, D.R., Dash, A.K.: Proc. Inst. Mech. Eng. Part C: J. Mech. Eng. Sci. 225, 1329–1339 (2011)
Buezas, F.S., Rosales, M.B., Filipich, C.P.: Damage detection with genetic algorithms taking into account a crack contact model. Eng. Fract. Mech. 78, 695–712 (2011)
Al-Ansari, L.S.: Calculating of natural frequency of stepping cantilever beam. Int. J. Mech. Mech. Eng. 12(5), 59–68 (2012)
Mazanoglu, K., Sabuncu, M.: A frequency based algorithm for identification of single and double cracked beams via a statistical approach used in experiment. Mech. Syst. Signal Process. 30, 168–185 (2012)
Jena, P.C., Parhi, D.R., Pohit, G.: Faults detection of a single cracked beam by theoretical and experimental analysis using vibration signatures. J. Mech. Civil Eng. 4(3), 1–18 (2012)
Thatoi, D., Guru, P., Jane, P.K., Choudhury, S., Das, H.C.: Modelling and Simulation in Materials Science and Engineering, 1–13 (2014)
Garg, S., Chawla, R., Singh, B.: Crack detection in cantilever beams using a new hybrid approach. Int. J. Mech. Prod. Eng. 2(4), 22–27 (2014)
Jena, P.C., Parhi, D.R., Pohit, G.: Dynamic study of composite cracked beam by hanging the angle of bi-directional fibres. Iran. J. Sci. Technol. 40(1), 27–37 (2016)
Banerjee, A., Panigrahi, P., Pohit, G.: Nondestr. Test. Eval. 31, 142–164 (2016)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this paper
Cite this paper
Banerjee, A., Pohit, G. (2019). Identification of Crack of Cantilever Beam Using Experimental Results and a Hybrid Neuro-GA Optimization Technique. In: Sahoo, P., Davim, J. (eds) Advances in Materials, Mechanical and Industrial Engineering. INCOM 2018. Lecture Notes on Multidisciplinary Industrial Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-96968-8_20
Download citation
DOI: https://doi.org/10.1007/978-3-319-96968-8_20
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-96967-1
Online ISBN: 978-3-319-96968-8
eBook Packages: EngineeringEngineering (R0)