| Title:
|
Numerical solution of a stochastic model of a ball-type vibration absorber (English) |
| Author:
|
Fischer, Cyril |
| Author:
|
Náprstek, Jiří |
| Language:
|
English |
| Journal:
|
Programs and Algorithms of Numerical Mathematics |
| Volume:
|
Proceedings of Seminar. Hejnice, June 21-26, 2020 |
| Issue:
|
2020 |
| Year:
|
|
| Pages:
|
40-49 |
| . |
| Category:
|
math |
| . |
| Summary:
|
The mathematical model of a ball-type vibration absorber represents a non-linear differential system which includes non-holonomic constraints. When a random ambient excitation is taken into account, the system has to be treated as a stochastic deferential equation. Depending on the level of simplification, an analytical solution is not practicable and numerical solution procedures have to be applied. The contribution presents a simple stochastic analysis of a particular resonance effect which can negatively influence efficiency of the absorber. (English) |
| Keyword:
|
stochastic model |
| Keyword:
|
Monte Carlo method |
| Keyword:
|
stochastic Euler method |
| Keyword:
|
dynamical systems |
| Keyword:
|
non-holonomic system |
| MSC:
|
37A50 |
| MSC:
|
60G15 |
| MSC:
|
65C05 |
| MSC:
|
65C20 |
| DOI:
|
10.21136/panm.2020.04 |
| . |
| Date available:
|
2021-05-05T13:39:14Z |
| Last updated:
|
2023-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/703099 |
| . |
