Abstract
The behavior of an annular plate, free at its inner edge and simply supported at the outer one, is investigated experimentally. The loading is a compressive implane force which is uniformly applied at the outer boundary. Deformations and strains are explored over sub, trans and postbuckling regions. Experimental results for the buckling loads, obtained by different methods, are compared. Comparison is also made with existing theoretical data. Fair to good agreement is found between theory and experiments, especially with respect to circumferential strains. The important influence that initial geometrical imperfections can have on the behavior of the compressed plate is also discussed.
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Abbreviations
- A, B :
-
constants given by eq (3)
- a, b :
-
radii of outer and inner edges, respectively (mm)
- c :
-
constant in eq (7) (mm)
- D :
-
flexural rigidity of the plate =Eh 3/12 (1−v 2) (N−mm)
- E :
-
modulus of elasticity (MPa)
- h :
-
plate thickness (mm)
- \(\bar p\) :
-
oil pressure in the rubber tube (MPa)
- \(\bar p_o \) :
-
pressure losses (MPa)
- P :
-
compressive force per unit length (N/mm)
- P cr :
-
critical compressive force per unit length (N/mm)
- r :
-
distance from center (mm)
- w :
-
transverse deflection (mm)
- z :
-
dimensionless load parameter = Pa2/D
- z 1 :
-
dimensionless critical load parameter =P cr a2/D
- ∇2 :
-
Laplacian (d 2/dr 2+1/r d/dr)
- μ:
-
ratio between the radiib anda
- ν:
-
Poisson's ratio
- σ r ,Ãθ :
-
radial and circumferential stresses, respectively (MPa)
- θ:
-
circumferential angle (deg)
- ∈ r ,∈θ :
-
average radial and circumferential strains, respectively (μm/m)
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Rosen, A., Libai, A. Stability and behavior of an annular plate under uniform compression. Experimental Mechanics 16, 461–467 (1976). https://doi.org/10.1007/BF02324103
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DOI: https://doi.org/10.1007/BF02324103