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      The dynamics of the pendulum suspended on the forced Duffing oscillator

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          Abstract

          We investigate the dynamics of the pendulum suspended on the forced Duffing oscillator. The detailed bifurcation analysis in two parameter space (amplitude and frequency of excitation) which presents both oscillating and rotating periodic solutions of the pendulum has been performed. We identify the areas with low number of coexisting attractors in the parameter space as the coexistence of different attractors has a significant impact on the practical usage of the proposed system as a tuned mass absorber.

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          Most cited references36

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          MULTISTABILITY AND RARE ATTRACTORS IN VAN DER POL–DUFFING OSCILLATOR

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            Chaotic behaviour of a parametrically excited damped pendulum

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              Experiments on periodic and chaotic motions of a parametrically forced pendulum

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                Author and article information

                Journal
                2012-02-27
                2012-07-11
                Article
                10.1016/j.jsv.2012.07.021
                1202.5937
                723aa544-8d9c-4195-bde6-16e5af0fd193

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                History
                Custom metadata
                Journal of Sound and Vibration, 2012
                Accepted
                nlin.CD

                Nonlinear & Complex systems
                Nonlinear & Complex systems

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