Response of periodic structures by modal analysis

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

Nonlinear Modal Analysis and Energy Localization in a Bladed Disk Assembly

2008 ◽  
Author(s):  
F. Georgiades ◽  
M. Peeters ◽  
G. Kerschen ◽  
J. C. Golinval ◽  
M. Ruzzene
Keyword(s):  
Modal Analysis ◽  
Nonlinear Oscillations ◽  
Periodic Structures ◽  
Normal Modes ◽  
Nonlinear Normal Modes ◽  
Energy Localization ◽  
Bladed Disk ◽  
Bladed Disk Assembly ◽  
Nonlinear Modal Analysis ◽  
Nonlinear Normal

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.

scholarly journals Efficient Modal Analysis of Periodic Structures Loaded With Arbitrarily Shaped Waveguides

2010 ◽  
Vol 58 (3) ◽  
pp. 529-536 ◽  
Author(s):  
Stephan Marini ◽  
Ángela Coves ◽  
Vicente E. Boria ◽  
Benito Gimeno
Keyword(s):  
Modal Analysis ◽  
Periodic Structures

scholarly journals Full-Wave Modal Analysis of Slow-Wave Periodic Structures Loaded With Elliptical Waveguides

2010 ◽  
Vol 57 (2) ◽  
pp. 516-524 ◽  
Author(s):  
Stephan Marini ◽  
Ángela Coves ◽  
Vicente E. Boria ◽  
Benito Gimeno
Keyword(s):  
Modal Analysis ◽  
Slow Wave ◽  
Periodic Structures ◽  
Full Wave

Driven periodic structures in random environment

1999 ◽  
Vol 09 (PR10) ◽  
pp. Pr10-85-Pr10-87
Author(s):  
V. M. Vinokur
Keyword(s):  
Random Environment ◽  
Periodic Structures
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