0
Research Papers

On the Magnetic Field Effect in Electroconductive Plates Under Nonconservative Loading

[+] Author and Article Information
A. Milanese1

Department of Mechanical and Aeronautical Engineering, Clarkson University, P. O. Box. 5725, Potsdam, NY 13699milanesa@clarkson.edu

P. Marzocca

Department of Mechanical and Aeronautical Engineering, Clarkson University, P. O. Box. 5725, Potsdam, NY 13699

M. Belubekyan, K. Ghazaryan, H. P. Mkrtchyan

Institute of Mechanics, National Academy of Sciences of Armenia, 24 Marshal Baghramian Avenue, Yerevan 375019, Armenia

1

Corresponding author.

J. Appl. Mech 76(1), 011015 (Nov 12, 2008) (9 pages) doi:10.1115/1.3005573 History: Received October 02, 2007; Revised September 15, 2008; Published November 12, 2008

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.

FIGURES IN THIS ARTICLE
<>
Copyright © 2009 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 10

Envelope qmax versus β for different thresholds on the real part of θ (adjoint approach)

Grahic Jump Location
Figure 11

Algorithm for determining the stability envelope

Grahic Jump Location
Figure 1

Cantilevered panel under in-plane follower load and transverse magnetic field

Grahic Jump Location
Figure 2

Root loci plot for a simply supported electroconductive plate in a transversal magnetic field for different values of α∕ω0

Grahic Jump Location
Figure 3

Root loci plot for β=0

Grahic Jump Location
Figure 4

Root loci plot for β=0.01

Grahic Jump Location
Figure 5

Zoom of the root loci plot for β=10−14, semi-analytic solution

Grahic Jump Location
Figure 6

Real∕imaginary parts of θ for β=0

Grahic Jump Location
Figure 7

Real∕imaginary parts of θ for β=0.01

Grahic Jump Location
Figure 8

Envelope qmax versus β for different thresholds on the real part of θ (exact approach)

Grahic Jump Location
Figure 9

Envelope qmax versus β for different thresholds on the real part of θ (Galerkin approach)

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In