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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.
Fischer, 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 -