Development of numerical algorithms for practical computation of nonlinear normal modes

Peeters, Maxime and Georgiades, Fotios and Viguie, Regis and Serandour, G. and Kerschen, Gaetan and Golinval, Jean-Claude (2008) Development of numerical algorithms for practical computation of nonlinear normal modes. In: ISMA 2008 International Conference on Noise and Vibration Engineering, 15-17 SEptember 2008, Leuven, Belgium.

Full content URL: http://www.isma-isaac.be/past/conf/isma2008/downlo...

Documents
isma2008_0083.pdf
[img]
[Download]
[img]
Preview
PDF
isma2008_0083.pdf

252kB
Item Type:Conference or Workshop contribution (Paper)
Item Status:Live Archive

Abstract

When resorting to numerical algorithms, we show that nonlinear normal mode (NNM) computation is possible
with limited implementation effort, which paves the way to a practical method for determining the NNMs
of nonlinear mechanical systems. The proposed method relies on two main techniques, namely a shooting
procedure and a method for the continuation of NNM motions. In addition, sensitivity analysis is used to
reduce the computational burden of the algorithm. A simplified discrete model of a nonlinear bladed disk is
considered to demonstrate the developments.

Keywords:NNMs, Georgiadis
Subjects:H Engineering > H310 Dynamics
H Engineering > H342 Vibration
H Engineering > H140 Mechanics
H Engineering > H300 Mechanical Engineering
Divisions:College of Science > School of Engineering
Related URLs:
ID Code:9494
Deposited On:17 May 2013 11:50

Repository Staff Only: item control page