Abstract
The results of an experimental investigation of the postbuckling behavior of a ferromagnetic cantilever beam in a transverse magnetic field are presented. A description of the experimental apparatus and the technique used to cancel the effect of initial curvature and other invevitable imperfections by systematically varying the misalignment of the field and the normal to the beam are discussed. For each misalignment, the buckling field is measured. A plot of buckling field vs. misalignment has the usual cusp and rapid decline of the buckling field with increasing imperfection that has come to be associated with imperfection-sensitive structures. Previous theoretical predictions are found to be in good qualitative agreement with the experimental results. Possible explanations for quantitative differences between experimental and theoretical results and sources of experimental error are discussed.
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Abbreviations
- B :
-
magnetic induction
- B 0 :
-
strength of remote, applied magnetic field
- b :
-
postbuckling coefficient, eq (6)
- E :
-
modulus of elasticity
- h :
-
thickness of beam
- k :
-
wave number
- L :
-
length of beam
- M :
-
magnetization
- n :
-
unit normal to beam
- T :
-
magnetic tractions
- v :
-
transverse deflection
- α:
-
misalignment of field with normal to the beam
- β:
-
initial deflection of beam's tip
- δ:
-
deflection of beam's tip
- ε:
-
δ/h
- η:
-
imperfection parameter
- λ:
-
loading parameter
- μ:
-
relative permeability
References
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Popelar, C.H., Bast, C.O. An experimental study of the magnetoelastic postbuckling behavior of a beam. Experimental Mechanics 12, 537–542 (1972). https://doi.org/10.1007/BF02320596
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DOI: https://doi.org/10.1007/BF02320596