Open AccessNonlinear oscillation modes of spatial double pendulum
Author(s) -
А. С. Смирнов,
Boris A. Smolnikov
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1959/1/012046
Subject(s) - pendulum , double pendulum , oscillation (cell signaling) , nonlinear system , plane (geometry) , mathematical analysis , furuta pendulum , mathematics , kapitza's pendulum , nonlinear oscillations , physics , classical mechanics , control theory (sociology) , inverted pendulum , geometry , computer science , control (management) , quantum mechanics , artificial intelligence , biology , genetics
The article studies nonlinear oscillations of a double mathematical pendulum which axes of the cylindrical joints are not collinear to each other and constitute an acute angle between themselves. Nonlinear oscillation modes of the system are constructed and analyzed in the first approximation using asymptotic methods. A quantitative verification of the obtained results is carried out by considering particular cases of a plane and orthogonal double pendulum and monitoring the energy integral in the appropriate approximation. The constructed analytical solutions are accompanied by graphic illustrations that clarify the essence of the solution.