Modal analysis of a nonlinear periodic structure with cyclic symmetry

Georgiades, Fotios and Peeters, Maxime and Kerschen, Gaetan and Golinval, Jean-Claude and Ruzzene, Massimo (2009) Modal analysis of a nonlinear periodic structure with cyclic symmetry. AIAA, 47 (4). pp. 1014-1025. ISSN 0001-1452

Full content URL: http://arc.aiaa.org/doi/abs/10.2514/1.40461

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Abstract

This paper carries out modal analysis of a nonlinear periodic structure with cyclic symme-
try. The nonlinear normal mode (NNM) theory is brie°y described, and a computational
algorithm for the NNM computation is presented. The results obtained on a simpli¯ed
model of a bladed assembly show that this system possesses a very complicated struc-
ture of NNMs, including similar and nonsimilar NNMs, nonlocalized and localized NNMs,
bifurcating and internally resonant NNMs. Modal interactions that occur without neces-
sarily having commensurate natural frequencies in the underlying linear system are also
discussed.

Keywords:modal analysis, Georgiadis
Subjects:H Engineering > H340 Acoustics and Vibration
H Engineering > H310 Dynamics
H Engineering > H342 Vibration
H Engineering > H400 Aerospace Engineering
H Engineering > H140 Mechanics
H Engineering > H300 Mechanical Engineering
Divisions:College of Science > School of Engineering
ID Code:9471
Deposited On:15 May 2013 20:40

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