205 Detection of Breathing Cracks in a Beam Using Dynamic Response : Proposition of a Technique Using the Finite Element Method Based on the Mixed Variational Principle

2006 ◽  
Vol 2006.5 (0) ◽  
pp. 103-108
Author(s):  
Keisuke KAMIYA ◽  
Terumitsu YOSHINAGA ◽  
Kimihiko YASUDA
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Variational Principle ◽  
Dynamic Response ◽  
The Finite Element Method ◽  
Mixed Variational Principle ◽  
Element Method

Convergence of the Finite Element Method in the Theory of Elasticity

1968 ◽  
Vol 35 (2) ◽  
pp. 274-278 ◽  
Author(s):  
M. W. Johnson ◽  
R. W. McLay
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Variational Principle ◽  
Boundary Value Problem ◽  
Boundary Value ◽  
Theory Of Elasticity ◽  
Careful Consideration ◽  
Stress Singularities ◽  
The Finite Element Method ◽  
Element Method

The foundations of the theory of the finite element method as it applies to linear elasticity are investigated. A particular boundary-value problem in plane stress is considered and the variational principle for the finite element method is shown to be equivalent to it. Mean and uniform convergence of the finite element solution to that of the boundary-value problem is demonstrated with careful consideration given to the stress singularities. A counterexample is presented in which a set of functions, admissible to the variational principle, is shown not to converge.

Dynamic Response of Packets of Blades by The Finite Element Method

1978 ◽  
Vol 100 (4) ◽  
pp. 660-666 ◽  
Author(s):  
A. L. Salama ◽  
M. Petyt
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Dynamic Response ◽  
Harmonic Excitation ◽  
Mass Ratio ◽  
The Finite Element Method ◽  
Periodic Loading ◽  
Engine Order ◽  
Partial Admission ◽  
Element Method

The finite element method is used to study the free vibration of packets of blades. A packet of six shrouded blades is analyzed, only the tangential vibrations being considered. Results are obtained to establish the effect of certain parameters such as stiffness ratio, mass ratio, the number of blades in the packet, the effect of rotation and the position of the lacing wires. The dynamic response of a packet to periodic loading is also studied. The cases of engine order harmonic excitation and partial admission of gas are considered with reference to a packet of six shrouded blades.

scholarly journals Finite Element Calculations for Non-radial Oscillations of Stars

1986 ◽  
Vol 39 (1) ◽  
pp. 99
Author(s):  
RAS Fiedler ◽  
AL Andrew
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Variational Principle ◽  
Radial Oscillation ◽  
The Finite Element Method ◽  
Finite Element Calculations ◽  
Element Method

Application of the finite element method to a variational principle of Chandrasekhar, although not suitable for computing stable g modes of non-radial oscillation of stars, is found to be satisfactory for unstable g modes as well as f and p modes

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