Nonlinear Dynamics

, Volume 53, Issue 3, pp 201–213

Dynamics, chaos and synchronization of self-sustained electromechanical systems with clamped-free flexible arm

Open Access
Original Paper

Abstract

An electromechanical system with flexible arm is considered. The mechanical part is a linear flexible beam and the electrical part is a nonlinear self-sustained oscillator. Oscillatory solutions are obtained using an averaging method. Chaotic behavior is studied via the Lyapunov exponent. The synchronization of regular and chaotic states of two such devices is discussed and the stability boundaries for the synchronization process are derived using the Floquet theory. We compare the results obtained from a finite difference simulation to those from the classical modal approach.

Keywords

Electromechanical devices Flexible arms Oscillatory and chaotic states Synchronization 

Copyright information

© Springer Science+Business Media B.V. 2007

Authors and Affiliations

  1. 1.Laboratory of Modeling and Simulation in Engineering and Biological PhysicsUniversity of Yaounde IYaoundeCameroon
  2. 2.Georg Forster Research FellowMax-Planck Institute for Dynamics and Self-OrganisationGottingenGermany

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