Stability of strongly nonlinear normal modes
Abstract
It is shown that a transformation of time can allow the periodic solution of a strongly nonlinear oscillator to be written as a simple cosine function. This enables the stability of strongly nonlinear normal modes in multidegree of freedom systems to be investigated by standard procedures such as harmonic balance.
- Publication:
-
Communications in Nonlinear Science and Numerical Simulations
- Pub Date:
- October 2007
- DOI:
- 10.1016/j.cnsns.2005.11.003
- Bibcode:
- 2007CNSNS..12.1128R
- Keywords:
-
- Stability of motion;
- Nonlinear normal mode;
- 02.30.Hq;
- 05.45.Xt;
- 46.40.Ff;
- Ordinary differential equations;
- Synchronization;
- coupled oscillators;
- Resonance damping and dynamic stability