Variational principles and finite element analysis for polarization gradient theory

1990 ◽  
Vol 5 (6) ◽  
pp. 447-458
Author(s):  
G. R. Buchanan ◽  
M. Sallah ◽  
K. F. Fong
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Variational Principles ◽  
Gradient Theory ◽  
Element Analysis ◽  
Polarization Gradient

A variational principle and finite element analysis for thermo-polarization gradient theory

1989 ◽  
Vol 16 (6) ◽  
pp. 359-369 ◽  
Author(s):  
G.R. Buchanan ◽  
K.F. Fong ◽  
M. Sallah
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Variational Principle ◽  
Gradient Theory ◽  
Element Analysis ◽  
Polarization Gradient

scholarly journals The Generalized Untwist Problem of Rotating Blades: A Coupled Aeroelastic Formulation

1994 ◽  
Author(s):  
Gao-Lian Liu
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Cross Section ◽  
Theoretical Basis ◽  
Variational Principles ◽  
Element Analysis ◽  
Rotating Blades ◽  
Section Shape ◽  
The Finite Element Analysis ◽  
Elastic Distortion

The untwist of rotating blades in turbomachines treated so far in the literatare simply as a pure elasticity problem is generalized and formulated rigorously as a problem of aeroelasticity by variational principles (VPs) and generalized VP (GVP). It takes into account not only the centrifugal force, but also the aeroelastic interaction between blades and the flow as well as the elastic distortion of the cross section shape of blades, assuming the material to be linearly elastic but nonisotropic. Thus, a new rigorous theoretical basis for the finite element analysis of blade untwist in turbomachine design is provided.

On interelement boundary terms of the variational principles in finite element analysis

1984 ◽  
Vol 19 (1-2) ◽  
pp. 291-301
Author(s):  
Yutaka Yoshida ◽  
Takashi Nomura
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Variational Principles ◽  
Element Analysis ◽  
Boundary Terms
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