This work investigates the behavior of an electroconductive plate under the action of a nonconservative load and subjected to a transversal magnetic field. The governing equation of the bending vibrations of an electroconductive plate, subjected to a transverse magnetic field and a follower type force at one edge, is presented. The assumption of an elongated plate leads to a simplified equation, which is conveniently written in dimensionless terms. For a cantilevered configuration, the characteristic equation relative to the magnetoelastic modes of vibration of the system is derived. Approximate solutions based on Galerkin method and an adjoint formulation are also presented and compared with the semi-analytical results. Root loci plots are computed as a function of the proper dimensionless parameters. The behavior of the system is very similar to the one exhibited by other structures subjected to nonconservative loads when damping is present. A relaxed definition of stability is used to regain continuity in the instability envelope.
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e-mail: milanesa@clarkson.edu
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January 2009
Research Papers
On the Magnetic Field Effect in Electroconductive Plates Under Nonconservative Loading
A. Milanese,
A. Milanese
Graduate Student
Department of Mechanical and Aeronautical Engineering,
e-mail: milanesa@clarkson.edu
Clarkson University
, P. O. Box. 5725, Potsdam, NY 13699
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P. Marzocca,
P. Marzocca
Assistant Professor
Department of Mechanical and Aeronautical Engineering,
Clarkson University
, P. O. Box. 5725, Potsdam, NY 13699
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M. Belubekyan,
M. Belubekyan
Professor
Institute of Mechanics,
National Academy of Sciences of Armenia
, 24 Marshal Baghramian Avenue, Yerevan 375019, Armenia
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K. Ghazaryan,
K. Ghazaryan
Professor
Institute of Mechanics,
National Academy of Sciences of Armenia
, 24 Marshal Baghramian Avenue, Yerevan 375019, Armenia
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H. P. Mkrtchyan
H. P. Mkrtchyan
Research Scientist
Institute of Mechanics,
National Academy of Sciences of Armenia
, 24 Marshal Baghramian Avenue, Yerevan 375019, Armenia
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A. Milanese
Graduate Student
Department of Mechanical and Aeronautical Engineering,
Clarkson University
, P. O. Box. 5725, Potsdam, NY 13699e-mail: milanesa@clarkson.edu
P. Marzocca
Assistant Professor
Department of Mechanical and Aeronautical Engineering,
Clarkson University
, P. O. Box. 5725, Potsdam, NY 13699
M. Belubekyan
Professor
Institute of Mechanics,
National Academy of Sciences of Armenia
, 24 Marshal Baghramian Avenue, Yerevan 375019, Armenia
K. Ghazaryan
Professor
Institute of Mechanics,
National Academy of Sciences of Armenia
, 24 Marshal Baghramian Avenue, Yerevan 375019, Armenia
H. P. Mkrtchyan
Research Scientist
Institute of Mechanics,
National Academy of Sciences of Armenia
, 24 Marshal Baghramian Avenue, Yerevan 375019, ArmeniaJ. Appl. Mech. Jan 2009, 76(1): 011015 (9 pages)
Published Online: November 12, 2008
Article history
Received:
October 2, 2007
Revised:
September 15, 2008
Published:
November 12, 2008
Citation
Milanese, A., Marzocca, P., Belubekyan, M., Ghazaryan, K., and Mkrtchyan, H. P. (November 12, 2008). "On the Magnetic Field Effect in Electroconductive Plates Under Nonconservative Loading." ASME. J. Appl. Mech. January 2009; 76(1): 011015. https://doi.org/10.1115/1.3005573
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