The evaluation of structural power flow (or structural intensity (SI)) in engineering structures is a field of increasing interest in connection with vibration analysis and noise control. In contrast to classical techniques such as modal analysis, the SI indicates the magnitude and direction of the vibratory energy traveling in the structures, which yields information about the positions of the sources/sinks, along with the energy transmission path. In this paper, a new algorithm is proposed to model operational deflection shapes (ODS). The model is a two-dimensional Fourier domain model that is estimated by using a weighted nonlinear least-squares method. From the wave number-frequency domain data thus obtained, the spatial derivatives that are necessary to determine the structural power flow are easily computed. The proposed method is less sensitive to measurement noise than traditional power flow estimation techniques. A numerical model of a simply supported plate excited by two shakers, phased to act as an energy source and sink, is used as a simulation case. Measurements are executed on a clamped plate excited by an electromagnetic shaker in combination with a damper.
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December 2012
Research-Article
Determining the Power Flow in a Rectangular Plate Using a Generalized Two-Step Regressive Discrete Fourier Series
Cedric Vuye,
Cedric Vuye
1
2
Associate Professor
Department Of Industrial Sciences,
2000 Antwerp,
e-mail: cedric.vuye@artesis.be
Department Of Industrial Sciences,
Artesis University College
,Paardenmarkt 92
,2000 Antwerp,
Belgium
e-mail: cedric.vuye@artesis.be
1Corresponding author.
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Patrick Guillaume,
Patrick Guillaume
Professor
e-mail: patrick.guillaume@vub.ac.be
e-mail: patrick.guillaume@vub.ac.be
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Steve Vanlanduit,
Steve Vanlanduit
Professor
e-mail: steve.vanlanduit@vub.ac.be
e-mail: steve.vanlanduit@vub.ac.be
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Flavio Presezniak,
Gunther Steenackers
Gunther Steenackers
Professor
e-mail: gunther.steenackers@artesis.be
Acoustics and Vibration Research Group,
Department Of Mechanical Engineering,
1050 Brussels,
e-mail: gunther.steenackers@artesis.be
Acoustics and Vibration Research Group,
Department Of Mechanical Engineering,
Vrije Universiteit Brussel
,Pleinlaan 2
,1050 Brussels,
Belgium
Search for other works by this author on:
Cedric Vuye
Associate Professor
Department Of Industrial Sciences,
2000 Antwerp,
e-mail: cedric.vuye@artesis.be
Department Of Industrial Sciences,
Artesis University College
,Paardenmarkt 92
,2000 Antwerp,
Belgium
e-mail: cedric.vuye@artesis.be
Patrick Guillaume
Professor
e-mail: patrick.guillaume@vub.ac.be
e-mail: patrick.guillaume@vub.ac.be
Steve Vanlanduit
Professor
e-mail: steve.vanlanduit@vub.ac.be
e-mail: steve.vanlanduit@vub.ac.be
Flavio Presezniak
Researcher
e-mail: fpresezniak@gmail.com
e-mail: fpresezniak@gmail.com
Gunther Steenackers
Professor
e-mail: gunther.steenackers@artesis.be
Acoustics and Vibration Research Group,
Department Of Mechanical Engineering,
1050 Brussels,
e-mail: gunther.steenackers@artesis.be
Acoustics and Vibration Research Group,
Department Of Mechanical Engineering,
Vrije Universiteit Brussel
,Pleinlaan 2
,1050 Brussels,
Belgium
1Corresponding author.
2Currently employed as Professor at Artesis University College.
Contributed by the Noise Control and Acoustics Division of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received October 1, 2009; final manuscript received March 14, 2012; published online October 29, 2012. Assoc. Editor: Stephen A. Hambric.
J. Vib. Acoust. Dec 2012, 134(6): 061007 (9 pages)
Published Online: October 29, 2012
Article history
Received:
October 1, 2009
Revision Received:
March 14, 2012
Citation
Vuye, C., Guillaume, P., Vanlanduit, S., Presezniak, F., and Steenackers, G. (October 29, 2012). "Determining the Power Flow in a Rectangular Plate Using a Generalized Two-Step Regressive Discrete Fourier Series." ASME. J. Vib. Acoust. December 2012; 134(6): 061007. https://doi.org/10.1115/1.4006756
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