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Nonlinear dynamics of excited plate immersed in granular matter

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The interaction between granular matter and the elastic body is a complex issue due to the complex properties of granular matter. An experiment involving a sinusoidally excited plate buried in… Click to show full abstract

The interaction between granular matter and the elastic body is a complex issue due to the complex properties of granular matter. An experiment involving a sinusoidally excited plate buried in glass bead particles contained in a box is conducted. The motion behavior of the plate is observed and recorded by the strain gauge. The amplitude–frequency and phase–frequency curves are recorded to study the natural property of the plate in granular matter. In this experiment, jump phenomena are found in both the amplitude–frequency and phase–frequency planes in circumstances with smaller particle sizes, lower buried depths, and larger amplitudes of the excitation force. Otherwise, the period-doubling bifurcation, especially 3T, is found with the increase in the excitation force. These bifurcations usually occur in specific buried depth and excitation frequency band and require smaller particle sizes. The experiments with random-shaped particles exhibit no-jump phenomenon, but period-doubling bifurcation and chaos. These phenomena are sensitive to parameters and closely related to the varying process of the excitation frequency and force. Reasonable mechanisms are summarized qualitatively through some of our recent researches in this paper.

Keywords: frequency; granular matter; matter; excited plate; nonlinear dynamics

Journal Title: Nonlinear Dynamics
Year Published: 2017

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