Numerical solution of a stochastic model of a ball-type vibration absorber
Fischer, Cyril; Náprstek, Jiří
- Programs and Algorithms of Numerical Mathematics, Publisher: Institute of Mathematics CAS(Prague), page 40-49
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topFischer, Cyril, and Náprstek, Jiří. "Numerical solution of a stochastic model of a ball-type vibration absorber." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics CAS, 2021. 40-49. <http://eudml.org/doc/296898>.
@inProceedings{Fischer2021,
abstract = {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.},
author = {Fischer, Cyril, Náprstek, Jiří},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {stochastic model; Monte Carlo method; stochastic Euler method; dynamical systems; non-holonomic system},
location = {Prague},
pages = {40-49},
publisher = {Institute of Mathematics CAS},
title = {Numerical solution of a stochastic model of a ball-type vibration absorber},
url = {http://eudml.org/doc/296898},
year = {2021},
}
TY - CLSWK
AU - Fischer, Cyril
AU - Náprstek, Jiří
TI - Numerical solution of a stochastic model of a ball-type vibration absorber
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2021
CY - Prague
PB - Institute of Mathematics CAS
SP - 40
EP - 49
AB - 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.
KW - stochastic model; Monte Carlo method; stochastic Euler method; dynamical systems; non-holonomic system
UR - http://eudml.org/doc/296898
ER -
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