Abstract
In this paper, polynomial dimensional decomposition (PDD) method is applied to study the dynamical model for the first time. PDD method can reserve the amplitude-frequency characteristics of the exact solution which is obtained by the Monte Carlo simulation (MCS) method except the frequency close to the resonance, the perturbations appear around the resonance frequency. All these results are shown on the two degrees of freedom (DOF) spring system with uncertainties; the dynamical characteristics of stiffness and hybrid uncertainty uncertainty are studied in seven cases respectively. The higher PDD order approximates better to the MCS results.
| Original language | English |
|---|---|
| Pages (from-to) | 58-63 |
| Number of pages | 6 |
| Journal | Vibroengineering Procedia |
| Volume | 10 |
| State | Published - 1 Dec 2016 |
| Externally published | Yes |
| Event | 24th International Conference on Vibroengineering - Shanghai, China Duration: 7 Dec 2016 → 8 Dec 2016 |
Keywords
- Dynamical characteristic
- Monte carlo simulation
- Order reduction
- Polynomial dimensional decomposition
- Uncertainty