Bifurcations of Oscillatory and Rotational Solutions of Double Pendulum with Parametric Vertical Excitation | Zendy

Michał Marszal | Zendy; Krzysztof Jankowski | Zendy; P. Perlikowski | Zendy; Tomasz Kapitaniak | Zendy

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Bifurcations of Oscillatory and Rotational Solutions of Double Pendulum with Parametric Vertical Excitation

Author(s) -

Michał Marszal,

Krzysztof Jankowski,

P. Perlikowski,

Tomasz Kapitaniak

Publication year - 2014

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2014/892793

Subject(s) - excitation , parametric statistics , pendulum , double pendulum , bifurcation , kinematics , parameter space , amplitude , parametric oscillator , physics , kapitza's pendulum , classical mechanics , domain (mathematical analysis) , control theory (sociology) , mathematics , mechanics , mathematical analysis , inverted pendulum , geometry , nonlinear system , computer science , optics , quantum mechanics , statistics , control (management) , artificial intelligence

This paper investigates dynamics of double pendulum subjected to vertical parametric kinematic excitation. It includes detailed bifurcation diagrams in two-parameter space (excitation’s frequency and amplitude) for both oscillations and rotations in the domain of periodic solutions.This work has been supported by the Foundation for Polish Science, Team Programme, under Project TEAM/2010/5/5

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