Higher-order spectral (HOS) analysis tools are employed to extract the nonlinear dynamic response features of elastic and laminated plates by using both physics-based mechanical plate models and experimental data. Bispectral and trispectral densities are computed to highlight the presence and relative importance of quadratic and cubic nonlinearities. The former are associated with the presence of asymmetry either in the excitation or in the mechanical response of predeflected plates while the latter are due to midplane stretching effects. Besides the detection of these structural nonlinearities in perfect (baseline) fully clamped plates, the changes of such nonlinearities induced by the presence of small inertial imperfections (i.e., lumped masses) are identified and exploited to localize the imperfections. The numerical and experimental investigations are carried out both on isotropic and laminated composite plates subject to Gaussian white noise excitation. The effectiveness of the HOS-based procedure for detection of the nonlinearities is fully demonstrated for both types of plates.
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August 2014
Research-Article
Detection of Nonlinearities in Plates Via Higher-Order-Spectra: Numerical and Experimental Studies
M. Pasquali,
M. Pasquali
1
Department of Mechanical and
Aerospace Engineering,
Aerospace Engineering,
Sapienza University
,Rome 00184
, Italy
1Corresponding author.
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W. Lacarbonara,
W. Lacarbonara
Mem. ASME
Associate Professor
Department of Structural and
Geotechnical Engineering,
Associate Professor
Department of Structural and
Geotechnical Engineering,
Sapienza University
,Rome 00184
, Italy
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P. Marzocca
P. Marzocca
Mem. ASME
Professor
Department of Mechanical and
Aeronautical Engineering,
e-mail: pmarzocc@clarkson.edu
Professor
Department of Mechanical and
Aeronautical Engineering,
Clarkson University
,Potsdam, NY 13699
e-mail: pmarzocc@clarkson.edu
Search for other works by this author on:
M. Pasquali
Department of Mechanical and
Aerospace Engineering,
Aerospace Engineering,
Sapienza University
,Rome 00184
, Italy
W. Lacarbonara
Mem. ASME
Associate Professor
Department of Structural and
Geotechnical Engineering,
Associate Professor
Department of Structural and
Geotechnical Engineering,
Sapienza University
,Rome 00184
, Italy
P. Marzocca
Mem. ASME
Professor
Department of Mechanical and
Aeronautical Engineering,
e-mail: pmarzocc@clarkson.edu
Professor
Department of Mechanical and
Aeronautical Engineering,
Clarkson University
,Potsdam, NY 13699
e-mail: pmarzocc@clarkson.edu
1Corresponding author.
Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received March 20, 2013; final manuscript received May 5, 2014; published online June 2, 2014. Assoc. Editor: Bogdan I. Epureanu.
J. Vib. Acoust. Aug 2014, 136(4): 041015 (13 pages)
Published Online: June 2, 2014
Article history
Received:
March 20, 2013
Revision Received:
May 5, 2014
Citation
Pasquali, M., Lacarbonara, W., and Marzocca, P. (June 2, 2014). "Detection of Nonlinearities in Plates Via Higher-Order-Spectra: Numerical and Experimental Studies." ASME. J. Vib. Acoust. August 2014; 136(4): 041015. https://doi.org/10.1115/1.4027625
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