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Stabilization of a vibrating non-classical micro-cantilever using electrostatic actuation

Vatankhah, R ; Sharif University of Technology | 2013

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  1. Type of Document: Article
  2. Publisher: Sharif University of Technology , 2013
  3. Abstract:
  4. A closed-loop control methodology is investigated for stabilization of a vibrating non-classical micro-scale Euler-Bernoulli beam with nonlinear electrostatic actuation. The dimensionless form of governing nonlinear Partial Differential Equation (PDE) of the system is introduced. The Galerkin projection method is used to reduce the PDE of system to a set of nonlinear Ordinary Differential Equations (ODE). In non-classical micro-beams, the constitutive equations are obtained based on the non-classical continuum mechanics. In this work, proper control laws are constructed to stabilize the free vibration of non-classical micro-beams whose governing PDE is derived based on the modified strain gradient theory as one of the most inclusive non-classical continuum theories. Numerical simulations are provided to illustrate the effectiveness and performance of the designed control scheme. Also, the results have been compared with those obtained by the classical model of micro-beam
  5. Keywords:
  6. Galerkin projection ; Non-classical micro-beam ; Constitutive equations ; Continuum mechanics ; Differential equations ; Electrostatic actuators ; Electrostatics ; Galerkin methods ; Ordinary differential equations ; Partial differential equations ; Stabilization ; Vibration control ; Electrostatic actuation ; Euler Bernoulli beams ; Galerkin projections ; Micro beams ; Non-classical continuum theories ; Nonlinear ordinary differential equation ; Nonlinear partial differential equations ; Strain gradient theory ; Nonlinear equations ; Nonlinearity ; Performance assessment ; Simulation ; Strain analysis ; Vibration
  7. Source: Scientia Iranica ; Volume 20, Issue 6 , 2013 , Pages 1824-1831 ; 10263098 (ISSN)
  8. URL: http://www.scientiairanica.com/en/ManuscriptDetail?mid=180