Parametric identification of nonlinear structural dynamic systems using time finite element method

AIAA Journal ◽  
1997 ◽  
Vol 35 ◽  
pp. 719-726
Author(s):  
Rakesh K. Kapania ◽  
Sungho Park
1989 ◽  
Vol 111 (1) ◽  
pp. 94-100 ◽  
Author(s):  
D. J. Nefske ◽  
S. H. Sung

A power flow analysis has been developed for predicting the vibration response of dynamic systems to high frequencies at which the traditional finite element method is no longer practical. As compared to Statistical Energy Analysis, which predicts an overall vibration response of each dynamic subsystem, the power flow analysis enables one to predict the spatial variation of the vibration response within each subsystem, as well as the power flow and vibration response throughout the entire system. The formulation of the power flow analysis is based on a differential, control-volume approach and is shown to result in a partial differential equation of the heat conduction type which can be solved by applying the finite element method. Example applications to (1) an uncoupled beam and (2) two coupled beams are presented to illustrate the analysis.


1997 ◽  
Vol 15 (4) ◽  
pp. 42-48
Author(s):  
Trinh Van Tin

In this paper, the finite element method has been applied to deriving the motion equation of turbine blade in coupled bending - bending - torsion vibrations. These equations permit us to develop straightforwardly digital computer programs for studying vibration problems of turbine blades in turbo machinery as well as in other structural dynamic applications.


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