In this paper, a damage sensitive feature based on the wavelet transform of the vibration signal is derived. The theoretical aspects of wavelet decomposition of vibration signals are presented. It is shown that the energies of the wavelet coefficients at appropriate scales can be used as damage sensitive features. Expressions for the energies of wavelet coefficients using the Haar wavelet basis function are derived for a single degree and a multidegree of freedom system. It is shown that the energies of the wavelet coefficients extracted at higher scales are functions of the physical parameters of the system and the loading function. Finally, the migration of damage sensitive feature vectors with damage is illustrated for the ASCE Benchmark Structure.
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November 2009
Research Papers
Derivation of a Damage Sensitive Feature Using the Haar Wavelet Transform
K. Krishnan Nair,
K. Krishnan Nair
Department of Civil and Environmental Engineering, John A. Blume Earthquake Engineering Center,
e-mail: kknair@stanford.edu
Stanford University
, Stanford, CA 94305
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Anne S. Kiremidjian
Anne S. Kiremidjian
Professor
Department of Civil and Environmental Engineering,
e-mail: ask@stanford.edu
Stanford University
, Stanford, CA 94305
Search for other works by this author on:
K. Krishnan Nair
Department of Civil and Environmental Engineering, John A. Blume Earthquake Engineering Center,
Stanford University
, Stanford, CA 94305e-mail: kknair@stanford.edu
Anne S. Kiremidjian
Professor
Department of Civil and Environmental Engineering,
Stanford University
, Stanford, CA 94305e-mail: ask@stanford.edu
J. Appl. Mech. Nov 2009, 76(6): 061015 (9 pages)
Published Online: July 27, 2009
Article history
Received:
March 4, 2008
Revised:
February 4, 2009
Published:
July 27, 2009
Citation
Nair, K. K., and Kiremidjian, A. S. (July 27, 2009). "Derivation of a Damage Sensitive Feature Using the Haar Wavelet Transform." ASME. J. Appl. Mech. November 2009; 76(6): 061015. https://doi.org/10.1115/1.3130821
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