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Smart dampers control in a Remoissenet–Peyrard substrate potential

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Abstract

A model of spring-block on a moving plate with a nonlinear periodic substrate potential whose shape can be varied continuously as a function of a shape parameter is investigated. The dynamical study of the system for different values of the shape parameter involves the analysis of phase space, the construction of bifurcation diagrams, and the computation of the largest Lyapunov exponent. A smart damper associated with drag coefficient is proposed to reduce stick-slip and chaotic motions. The domain of validity of the control method is derived.

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Authors and Affiliations

  1. Laboratoire de Mécanique, Faculté des Sciences, Université de Yaoundé I, B.P. 812, Yaoundé, Cameroun

    M. Motchongom-Tingue, G. Djuidjé Kenmoé & T. C. Kofané

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  1. M. Motchongom-Tingue
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  2. G. Djuidjé Kenmoé
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  3. T. C. Kofané
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Correspondence to M. Motchongom-Tingue.

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Motchongom-Tingue, M., Djuidjé Kenmoé, G. & Kofané, T.C. Smart dampers control in a Remoissenet–Peyrard substrate potential. Nonlinear Dyn 69, 379–389 (2012). https://doi.org/10.1007/s11071-011-0271-4

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