The influence of damage on waves propagating in beam structures is investigated through a numerical model formulated by combining spectral finite elements and perturbation techniques. The resulting numerical tool allows for an efficient computation of the wave propagation response and the analysis of the effects of localized damages of various extents and locations. The dynamic behavior of damaged beams is described through a first-order model, which couples bending and axial behavior, thus allowing the prediction of mode conversion phenomena. Damage is modeled as a small, localized reduction of the beam thickness which, allows for an application of perturbation theory. Numerical examples in the time and frequency domains are presented to illustrate the model capabilities.
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Research Papers
Spectral and Perturbation Analysis of First-Order Beams With Notch Damage
N. Apetre,
N. Apetre
School of Aerospace Engineering,
e-mail: nicole.apetre@gatech.edu
Georgia Institute of Technology
, 270 Ferst Drive, Atlanta, GA 30332-0150
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M. Ruzzene,
M. Ruzzene
School of Aerospace Engineering,
Georgia Institute of Technology
, 270 Ferst Drive, Atlanta, GA 30332-0150
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S. Hanagud,
S. Hanagud
School of Aerospace Engineering,
Georgia Institute of Technology
, 270 Ferst Drive, Atlanta, GA 30332-0150
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S. Gopalakrishnan
S. Gopalakrishnan
Department of Aerospace Engineering,
Indian Institute of Science
, Bangalore 560 012, India
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N. Apetre
School of Aerospace Engineering,
Georgia Institute of Technology
, 270 Ferst Drive, Atlanta, GA 30332-0150e-mail: nicole.apetre@gatech.edu
M. Ruzzene
School of Aerospace Engineering,
Georgia Institute of Technology
, 270 Ferst Drive, Atlanta, GA 30332-0150
S. Hanagud
School of Aerospace Engineering,
Georgia Institute of Technology
, 270 Ferst Drive, Atlanta, GA 30332-0150
S. Gopalakrishnan
Department of Aerospace Engineering,
Indian Institute of Science
, Bangalore 560 012, IndiaJ. Appl. Mech. May 2008, 75(3): 031019 (10 pages)
Published Online: May 2, 2008
Article history
Received:
January 8, 2007
Revised:
September 17, 2007
Published:
May 2, 2008
Citation
Apetre, N., Ruzzene, M., Hanagud, S., and Gopalakrishnan, S. (May 2, 2008). "Spectral and Perturbation Analysis of First-Order Beams With Notch Damage." ASME. J. Appl. Mech. May 2008; 75(3): 031019. https://doi.org/10.1115/1.2839904
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