Failures in structures and machine elements can be prevented through early detection of fatigue cracks using various nondestructive testing methods. Vibration testing forms one of the most effective and recent one among these methods. There are mainly two approaches to crack detection through vibration testing: open crack model and breathing crack model. The present study is based on breathing crack model, in which the nonlinear vibration response under harmonic excitation is formulated through Volterra series and higher order frequency response functions. Bilinear stiffness characteristic of a cracked cantilever beam is approximated by a truncated polynomial series and response amplitudes of various harmonics are investigated for both qualitative and quantitative characterization. A new procedure is suggested whereby the presence of a breathing crack in a structure can be first identified and then the severity of the damage can be estimated through harmonic probing.
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October 2011
Research Papers
Nonlinear Dynamics and Damage Assessment of a Cantilever Beam With Breathing Edge Crack
Animesh Chatterjee
Animesh Chatterjee
Department of Mechanical Engineering,
e-mail: achatterjee@mec.vnit.ac.in
Visvesvaraya National Institute of Technology
, Nagpur 440011, India
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Animesh Chatterjee
Department of Mechanical Engineering,
Visvesvaraya National Institute of Technology
, Nagpur 440011, Indiae-mail: achatterjee@mec.vnit.ac.in
J. Vib. Acoust. Oct 2011, 133(5): 051004 (6 pages)
Published Online: July 26, 2011
Article history
Received:
February 4, 2010
Revised:
January 20, 2011
Online:
July 26, 2011
Published:
July 26, 2011
Citation
Chatterjee, A. (July 26, 2011). "Nonlinear Dynamics and Damage Assessment of a Cantilever Beam With Breathing Edge Crack." ASME. J. Vib. Acoust. October 2011; 133(5): 051004. https://doi.org/10.1115/1.4003934
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