Magnetoelastic Buckling of a Thin Plate

[+] Author and Article Information
F. C. Moon

Department of Mechanical and Aerospace Engineering, University of Delaware, Newark, Del.

Yih-Hsing Pao

Department of Theoretical and Applied Mechanics, Cornell University, Ithaca, N. Y.

J. Appl. Mech 35(1), 53-58 (Mar 01, 1968) (6 pages) doi:10.1115/1.3601173 History: Received March 29, 1967; Online September 14, 2011


The instability of a column under axial load is well known. A similar phenomenon is discussed in this paper for a beam-plate in a transverse magnetic field. Experiments show that the beam may buckle (in the sense of an Euler column) when the uniform magnetic field strength reaches a critical value. A mathematical model is proposed with distributed magnetic torques along the plate. A nontrivial adjacent equilibrium configuration satisfying the magnetostatic field equations is shown to exist for characteristic values of the external magnetic field. Results as predicted from this model compare favorably with experiments.

Copyright © 1968 by ASME
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