Estimation of Critical Flutter Load of a Polar-Orthotropic Annular Plate

2009 ◽  
Author(s):  
I. Takahashi
Keyword(s):  
Annular Plate ◽  
Flutter Load ◽  
Polar Orthotropic

Godunov-Conte Method for Solution of Eigenvalue Problems and Its Applications

1977 ◽  
Vol 44 (4) ◽  
pp. 776-779 ◽  
Author(s):  
I. Elishakoff ◽  
M. Charmats
Keyword(s):  
Vibration Analysis ◽  
Eigenvalue Problems ◽  
Annular Plate ◽  
Initial Conditions ◽  
Isotropic Case ◽  
Orthotropic Plates ◽  
Elastic Bodies ◽  
Kronecker Delta ◽  
Parallel Integration ◽  
Polar Orthotropic

The method originally presented by Godunov and modified by Conte for solution of two-point boundary-value problems, is outlined here as applied to eigenvalue problems. The method (which avoids the loss of accuracy resulting from the numerical treatment, often associated with stability and vibration analysis of elastic bodies) consists of parallel integration of the set of k homogeneous equations under the Kronecker-delta initial conditions which are orthogonal (k being the number of “missing” conditions), after each step. Subject to Conte’s test, the set of solutions is reorthogonalized by the Gram-Schmidt procedure and integration continues. The procedure prevents flattening of the base solutions, which otherwise become numerically dependent. The method is applied to stability analysis of polar orthotropic plates, and as in the isotropic case (as shown by Yamaki), it is seen that assumption of symmetric buckling results in a stability overestimate for an annular plate.

Study of the Influence of Annular Plate Size on the Stress-Strain State of a Vertical Steel Tank

2021 ◽  
Author(s):  
A. E. Lebedev ◽  
A. B. Kapranova ◽  
I. S. Gudanov ◽  
D. S. Dolgin ◽  
A. A. Vatagin
Keyword(s):  
Strain State ◽  
Annular Plate ◽  
Stress Strain ◽  
Stress Strain State ◽  
Plate Size ◽  
Steel Tank
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