scholarly journals NEW THEORETICAL FLOQUET MODAL ANALYSIS TO STUDY 3-D FINITE ALMOST PERIODIC STRUCTURES WITH COUPLED CELLS

2021 ◽  
Vol 95 ◽  
pp. 163-169
Author(s):  
Bilel Hamdi ◽  
Taoufik Aguili
Author(s):  
F. Georgiades ◽  
M. Peeters ◽  
G. Kerschen ◽  
J. C. Golinval ◽  
M. Ruzzene

The objective of this study is to carry out modal analysis of nonlinear periodic structures using nonlinear normal modes (NNMs). The NNMs are computed numerically with a method developed in [18] that is using a combination of two techniques: a shooting procedure and a method for the continuation of periodic motion. The proposed methodology is applied to a simplified model of a perfectly cyclic bladed disk assembly with 30 sectors. The analysis shows that the considered model structure features NNMs characterized by strong energy localization in a few sectors. This feature has no linear counterpart, and its occurrence is associated with the frequency-energy dependence of nonlinear oscillations.


1978 ◽  
Vol 56 (4) ◽  
pp. 481-493 ◽  
Author(s):  
R.C. Engels ◽  
L. Meirovitch

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