Oscillations of a Pendulum Under the Action of Random Pulses

Oscillations of a Pendulum Under the Action of Random Pulses

Stochastic differential equations are used to model of the small random oscillations of a mathematical pendulum under the impacts of fast particles of small mass. The first- and second-order equations for the initial steady-state moments of random oscillations about an adjacent angle have been found...

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Veröffentlicht in:International applied mechanics 2023-05, Vol.59 (3), p.284-291
Hauptverfasser: Degtyar, S. V., Shusharin, Yu. V., Zhuk, Ya. Î.
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Differential equations
Engineering
Markov processes
Oscillations
Pendulums
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Beschreibung
Zusammenfassung:Stochastic differential equations are used to model of the small random oscillations of a mathematical pendulum under the impacts of fast particles of small mass. The first- and second-order equations for the initial steady-state moments of random oscillations about an adjacent angle have been found.
ISSN:1063-7095
1573-8582
DOI:10.1007/s10778-023-01220-2