Abstract
This paper presents the mathematical modeling and dynamical analysis to examine the coupled effect of inertial mass and excitation frequency on a Duffing vibro-impact device used for autogenous mobile systems. The Duffing oscillation with a nonlinear spring is utilized to generate impacts and thus to drive the whole system. Forward motion is observed in a wide range of the excited frequency and the mass ratio. The nonlinear interaction between the system body and the inertial mass can provide a backward motion of the system for a narrow range of the mass ratio and the frequency of excitation. The proposed model has validated by an experimental implementation, and thus can be used as a useful tool to optimize the system dynamics. Bifurcation study is carried out to provide a better understanding for design and selection of the system parameters. The mathematical model of the system with dimensionless parameters allows extending the results to both large- and micro-scale applications.
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