Abstract
This paper deals with the numerical solution of high dimensional dynamic systems with nonsmooth characteristics, such as structural elastoplasticity, mechanical clearance and dry friction. As a stable periodic response of the system attracts its transient response, it may be extracted from the transient response somehow. The paper suggests a novel iteration scheme to extrapolate the periodic response from a short time history of its transient response by curve fitting. Compared with the current schemes such as shooting and incremental harmonic balancing, the present scheme makes full use of the information within the transient response and the system characters, then its computation efficiency has increased by an order and the numerical convergence depending on the initial iteration has greatly improved.
| Original language | English |
|---|---|
| Pages (from-to) | 137-150 |
| Number of pages | 14 |
| Journal | Acta Mechanica Solida Sinica |
| Volume | 7 |
| Issue number | 2 |
| Publication status | Published - Jun 1994 |
| Externally published | Yes |
Keywords
- curve fitting
- nonlinear
- nonsmooth
- periodic response