Abstract
Haar wavelets have an attractive property for non-smooth dynamical systems as they are capable of modeling sudden changes because of their local multi-resolution characteristics. In this paper, we applied the Haar wavelet collocation method embedding the segment technique to compute and detect periodic responses of an elastic impact oscillator. Comparisons between dynamical responses computed by a direct numerical simulation using a high accuracy Runge–Kutta algorithm and the proposed method are encouraging. Some key parameters of the impact oscillator were changed to demonstrate the effectiveness of the method. Moreover, the time-frequency index feature for the Haar wavelet coefficients describing impacts was proven to be an additional advantage of this method.
| Original language | English |
|---|---|
| Article number | 108817 |
| Number of pages | 12 |
| Journal | International Journal of Mechanical Sciences |
| Volume | 264 |
| Early online date | 22 Dec 2023 |
| DOIs | |
| Publication status | Published - 15 Feb 2024 |
Bibliographical note
The authors would like to thank Dr. Dimitri Costa for his suggestions and comments on this paper. Dr. Yang would like to thank the support from National Natural Science Foundation of China (No. 12102189), China Scholarship Council Programme (No. 202006845007) and Independent Research Fund of Tianjin University, China (No. 2023XSU0022). All authors approved the version of the manuscript to be published.Data Availability Statement
No data was used for the research described in the article.Keywords
- Haar Wavelet collocation method
- Segment technique
- Impact oscillator
- Periodic Responses