Abstract
The constrained optimization shooting method is presented to determine the resonant peak of nonlinear systems. The proposed method is obtained by a concatenation of 3 methods: the harmonic balance method (HBM) to turn the dynamical problem into an algebraic one, the Floquet theory to determine the solution stability and a MultiStart Algorithm to maximize the vibration amplitude. Finally, the effectiveness and ability of the proposed approach are illustrated through two numerical examples.
| Original language | English |
|---|---|
| Pages (from-to) | 166-171 |
| Number of pages | 6 |
| Journal | Zhendong Gongcheng Xuebao/Journal of Vibration Engineering |
| Volume | 27 |
| Issue number | 2 |
| Publication status | Published - Apr 2014 |
| Externally published | Yes |
Keywords
- Floquet theory
- Nonlinear vibration
- Periodic solution
- Shooting method
- The multistart algorithm