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Dynamical properties of a nonautonomous double pendulum model
Author(s) -
Lampart Marek,
Zapoměl Jaroslav
Publication year - 2017
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4650
Subject(s) - mathematics , chaotic , ordinary differential equation , double pendulum , pendulum , nonlinear system , classical mechanics , vibration , restoring force , excitation , character (mathematics) , mathematical analysis , amplitude , differential equation , degrees of freedom (physics and chemistry) , physics , inverted pendulum , geometry , acoustics , quantum mechanics , artificial intelligence , computer science
This research was motivated by a real technological problem of vibrations of bodies hanging on chains or ropes in tubes or spaces limited by walls or other bodies. The studied system has two degrees of freedom. It is formed by two pendulums moving between two walls. Its movement is governed by a set of nonlinear ordinary differential equations. The results of the simulations shown that the system exhibits regular and chaotic movement. The simulations were performed for 3 excitation amplitudes and the range of the excitation frequencies between 1 and 30 rad s −1 . The subject of the investigations was the determination of the character of the pendulums' motions and identification of their collisions with the sided walls.