Reduced-order mass weighted proper orthogonal decomposition (RMPOD), smooth orthogonal decomposition (SOD), and state variable modal decomposition (SVMD) are used to extract modal parameters from a nonuniform experimental beam. The beam was sensed by accelerometers. Accelerometer signals were integrated and passed through a high-pass filter to obtain velocities and displacements, all of which were used to build the necessary ensembles for the decomposition matrices. Each of these decomposition methods was used to extract mode shapes and modal coordinates. RMPOD can directly quantify modal energy, while SOD and SVMD directly produce estimates of modal frequencies. The extracted mode shapes and modal frequencies were compared to an analytical approximation of these quantities, and to frequencies estimated by applying the fast Fourier transform to accelerometer data. SVMD is also applied to estimate modal damping, which was compared to the estimate by logarithmic decrement applied to modal coordinate signals, with varying degrees of success. This paper shows that these decomposition methods are capable of extracting lower modal parameters of an actual experimental beam.
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August 2014
Research-Article
Output-Only Modal Identification of a Nonuniform Beam by Using Decomposition Methods
Rickey A. Caldwell,
Rickey A. Caldwell
Department of Mechanical Engineering,
e-mail: caldwe20@msu.edu
Michigan State University
,East Lansing, MI
e-mail: caldwe20@msu.edu
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Brian F. Feeny
Brian F. Feeny
1
Department of Mechanical Engineering,
e-mail: feeny@egr.msu.edu
Michigan State University
,East Lansing, MI
e-mail: feeny@egr.msu.edu
1Corresponding author.
Search for other works by this author on:
Rickey A. Caldwell
Department of Mechanical Engineering,
e-mail: caldwe20@msu.edu
Michigan State University
,East Lansing, MI
e-mail: caldwe20@msu.edu
Brian F. Feeny
Department of Mechanical Engineering,
e-mail: feeny@egr.msu.edu
Michigan State University
,East Lansing, MI
e-mail: feeny@egr.msu.edu
1Corresponding author.
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received July 25, 2013; final manuscript received March 18, 2014; published online May 19, 2014. Assoc. Editor: Michael Leamy.
J. Vib. Acoust. Aug 2014, 136(4): 041010 (10 pages)
Published Online: May 19, 2014
Article history
Received:
July 25, 2013
Revision Received:
March 18, 2014
Citation
Caldwell, R. A., and Feeny, B. F. (May 19, 2014). "Output-Only Modal Identification of a Nonuniform Beam by Using Decomposition Methods." ASME. J. Vib. Acoust. August 2014; 136(4): 041010. https://doi.org/10.1115/1.4027243
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