Structure Preserving Energy Functions for Systems with Nonlinear Load Models and Generator Flux Decay

1992 ◽  
Vol 65 (5) ◽  
pp. 917-931 ◽  
Author(s):  
Yun Ling ◽  
Peter A. Engel ◽  
William L. Brodsky

Abstract The nonlinear load-deflection relations of bonded circular disks and infinitely long strips are studied. Finite element analysis is used to evaluate the empirical formula proposed by Payne, which justifies the need for a better formula to predict the load-deflection relation for blocks with large shape factors under a relatively large deformation. General expressions for the load-deflection relations of blocks under axisymmetrical and plane-strain deformations are presented based on a variational approach, i.e. the Raleigh-Ritz method, in which no specific form of strain energy functions is required. Nonlinear load-deflection relations of circular discs and infinitely long strips made of a Mooney-Rivlin material are explicitly given in a power series form. It is found that these solutions agree well with the finite element results and are much more accurate than the empirical formula. It is shown that the solutions obtained by the Raleigh-Ritz method are not sensitive to deformations assumed.


Author(s):  
Irina Ciornei ◽  
Mihaela Albu ◽  
Mihai Sanduleac ◽  
Andres Felipe Martinez Palomino

1989 ◽  
Vol 9 (8) ◽  
pp. 48-48
Author(s):  
V. Vittal ◽  
N. Bhatia ◽  
A. A. Fouad ◽  
G. A. Maria ◽  
H. M. Zein El-Din

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