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Global Bifurcations of Nonlinear Thermoelastic Microbeams Subject to Electrodynamic Actuation

  • O. Gottlieb
  • A.R. Champneys
Conference paper
Part of the Solid Mechanics and its Applications book series (SMIA, volume 122)

Abstract

In this paper we formulate a nonlinear boundary-value problem describing the thermoelastic dynamics of a microbeam that is subject to a localized electrodynamic actuation and is operating in an ultra-high vacuum environment. A modal Galerkin projection reveals a planar homoclinic structure describing escape from a potential well that is perturbed by both thermoelastic damping and modulated periodic actuation. This structure is investigated via Melnikov analysis to shed light on possible existence of global bifurcations and chaotic transients.

Key words

Thermoelastic microbeams electrodynamic actuation global bifurcation 

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Copyright information

© Springer 2005

Authors and Affiliations

  • O. Gottlieb
    • 1
  • A.R. Champneys
    • 2
  1. 1.Department of Mechanical EngineeringTechnion — Israel Institute of TechnologyIsrael
  2. 2.Department of Engineering MathematicsUniversity of BristolUK

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