Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review
The classic Kapitsa’s problem and its various generalizations about a stability of an inverted pendulum under action of vertical vibrations of support are investigated. By using asymptotic method of two-scale expansions the level of vibrations such, that the vertical position of rod is stable, are found. An attraction basin of a vertical position of rod in the case when this position is stable is found. The both harmonic and random stationary vibrations of support are considered.
| Original language | English |
|---|---|
| Title of host publication | COMPDYN 2019 - 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Proceedings |
| Editors | Manolis Papadrakakis, Michalis Fragiadakis |
| Place of Publication | Greece |
| Publisher | National Technical University of Athens (NTUA) |
| Pages | 3593-3602 |
| Number of pages | 10 |
| Volume | III |
| ISBN (Electronic) | 9786188284470 |
| DOIs | |
| State | Published - 2019 |
| Event | 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, COMPDYN 2019 - Crete, Greece, Hersonissos, Greece Duration: 24 Jun 2019 → 26 Jun 2019 Conference number: 7th https://2019.compdyn.org |
| Name | COMPDYN Proceedings |
|---|---|
| Volume | 2 |
| ISSN (Print) | 2623-3347 |
| Conference | 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, COMPDYN 2019 |
|---|---|
| Abbreviated title | COMPDYN 2019 |
| Country/Territory | Greece |
| City | Hersonissos |
| Period | 24/06/19 → 26/06/19 |
| Internet address |
ID: 49647491