Open AccessHopf bifurcation of actuated micro-beam nonlinear vibrations in micro electro mechanical systems
Author(s) -
Kus Prihantoso Krisnawan
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1320/1/012002
Subject(s) - galerkin method , vibration , beam (structure) , nonlinear system , bifurcation , stiffness , hopf bifurcation , timoshenko beam theory , bifurcation diagram , equations of motion , physics , mathematics , classical mechanics , mathematical analysis , optics , acoustics , quantum mechanics , thermodynamics
In this paper, the effects of micro-beam stiffness changes to the dynamic of nonlinear vibrations are investigated. Nonlinear vibrations equation of an actuated micro-beam is derived based on Euler-Bernoulli beam theory. Galerkin method is adopted to simplify the nonlinear equation of the motion. The simpler equation transformed into a dynamical system and its eigen values are analysed. To show the dynamic of the system, the bifurcation and phase plane diagrams are drawn. The numerical result showed that the change of micro-beam stiffness exhibits a Hopf bifurcation.