Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 31097
The Cracks Propagation Monitoring of a Cantilever Beam Using Modal Analysis

Authors: Morteza Raki, Abolghasem Zabihollah, Omid Askari


Cantilever beam is a simplified sample of a lot of mechanical components used in a wide range of applications, including many industries such as gas turbine blade. Due to the nature of the operating conditions, beams are subject to variety of damages especially crack propagates. Crack propagation may lead to catastrophic failure during operation. Therefore, online detection of crack presence and its propagation is very important and may reduce possible significant cost of the whole system failure. This paper aims to investigate the effect of cracks presence and crack propagation on one end fixed beam`s vibration. A finite element model will be developed for the blade in which the modal response of the structure with and without crack will be studied. 

Keywords: Health monitoring, crack propagation, blade, modal analysis

Digital Object Identifier (DOI):

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1124


[1] F. Vakili-Tahami, and M. R. Adibeig, “Investigating the possibility of replacing IN 738LC gas turbine blades with IN 718,” journal of Mechanical Science and Technology, October 2015, Volume 29, Issue 10, pp 4167-4178.
[2] Rosenbaum, A. Chamanfar, M. Jahazi, and A. Bonakdar, “Microstructure analysis of broached inconel-718 gas turbine disc firtrees,” Proceedings of ASME Turbo Expo 2014: Turbine Technical Conference and Exposition, Volume 6: Ceramics; Controls, Diagnostics and Instrumentation; Education; Manufacturing Materials and Metallurgy, June 16 – 20, 2014, Düsseldorf, Germany, ISBN: 978-0- 7918-4575-2.
[3] J. Girardeau, J. Pailhes, P. Sebastian, F. Pardo, and J.-P. Nadeau, “Turbine blade cooling System optimization,” Journal of Turbomachinery, American Society of Mechanical Engineers, Vol. 135 (6), 2013, pp. 061020-061020.
[4] J. S. Gray, J. Chin, T. Hearn, E. S. Hendricks, T. M. Lavelle, and J. Martins, “Thermodynamics for gas turbine cycles with analytic derivatives in open MDAO,” 57th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, AIAA SciTech, (AIAA 2016-0669).
[5] L. Chen, J. Chen, “Aerodynamic optimization design for high pressure turbines based on the adjoint approach,” Chinese Journal of Aeronautics, Volume 28, Issue 3, June 2015, Pages 757–769
[6] G. Morgese, M. Torresi, B. Fortunato, S. M. Camporeale, “Optimized aerodynamic design of axial turbines for waste energy recovery,” 70th Conference of the Italian Thermal Machines Engineering, Volume 82, December 2015, Pages 194–200.
[7] A. Dahlquist, and M. Genrup, “Aerodynamic gas turbine compressor design for an oxy-fuel combined cycle,” ASME Turbo Expo 2015: Turbine Technical Conference and Exposition, Volume 3: Coal, Biomass and Alternative Fuels; Cycle Innovations; Electric Power; Industrial and Cogeneration Montreal, Quebec, Canada, June 15–19, 2015, ISBN: 978-0-7918-5667-3.
[8] Z. Mazur, R. García-Illescas, J. Porcayo-Calderón “Last stage blades failure analysis of a 28 MW geothermal turbine,” Third Int. Conference on Engineering, Volume 16, Issue 4, June 2009, Pages 1020–1032.
[9] S. Orhan “Analysis of free and forced vibration of a cracked cantilever beam,” NDT & E International, Volume 40, Issue 6, September 2007, Pages 443–450.
[10] J. Wauer, “Vibrations of cracked rotating blades,” Rotordynamics '92, Proceedings of the International Conference on Rotating Machine Dynamics, Hotel des Bains, Venice, 28–30 April 1992, Springer-Verlag London Limited.
[11] A. Shukla, S. P. Harsha, “An experimental and fem modal analysis of cracked and normal steam turbine blade,” Materials Today: Proceedings, 2015–Elsevier.
[12] W. M. Ostachowicz, M. Krawczuk “Analysis of the effect of cracks on the natural frequencies of a cantilever beam,” Journal of Sound and Vibration, 1991, vol.150.
[13] François Léonard, Jacques Lanteigne, Serge Lalonde, Yvon Turcotte, “Free vibration behavior of a cracked cantilever beam and crack detection,” Mechanical Systems and Signal Processing, 2001 15(3), 529- 548.
[14] M. Behzad, A. Ebrahimi, A. Meghdari, “Continuous vibration theory for beams with a vertical edge crack,” Scientia Iranica Transaction B: Mechanical Engineering, Vol. 17, No. 3, pp. 194 204.
[15] Singiresu S. Rao “Vibration of Continuous Systems,” (Book style), Hoboken, New Jersey, 2007.
[16] Mihir Kumar Sutar, “Finite element analysis of a cracked cantilever beam,” International Journal of Advanced Engineering Research and Studies, E-ISSN2249–8974, 2012.
[17] D. J. Ewins, “Modal Testing: Theory and Practice,” (Book style), October 1994, Taunton, Somerset, England, ISBN O47 1 9CU72 4.
[18] ANSYS, Release 15, ANSYS Inc., 2013.
[19] MATLAB, Release R2013a, the Math Work Inc., 2013.