Double pendulum’s slow dynamics analysis

Authors

  • Ligia Munteanu Institute of Solid Mechanics, Romanian Academy, Bucharest
  • Marius Ionescu Institute of Solid Mechanics, Romanian Academy, Bucharest
  • Nicoleta Stan Institute of Solid Mechanics, Romanian Academy, Bucharest
  • Valerica Mosnegutu Institute of Solid Mechanics, Romanian Academy, Bucharest
  • Veturia Chiroiu Institute of Solid Mechanics, Romanian Academy, Bucharest

Keywords:

pendulum motion, Coulomb vibrations, slow dynamics

Abstract

By extending the analysis of the slow dynamics, the solutions of a double pendulum motion written as a linear superposition of Coulomb vibrations have broken symmetry concerning the driving excitation. The solutions allow a qualitative analysis not only of the quasi-periodic behavior but also of the chaotic behavior of the pendulum. The solutions permit understanding what causes an oscillation to lose its periodicity and hence become chaotic.

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Published

2024-04-21

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