Nonlinear nonlocal analysis of electrostatic nanoactuators

Fehmi Najar, Sami El-Borgi, J. N. Reddy, Kais Mrabet

Research output: Contribution to journalArticle

40 Citations (Scopus)


This study investigates the small scale effect on the nonlinear static and dynamic response of a capacitive nanoactuator subjected to a DC voltage. The nanoactuator is modeled as a Euler-Bernoulli beam cantilever beam and beam clamped at its both ends. The model accounts for residual stresses, initial deflection, the von Kármán nonlinear strains, and the electrostatic forcing. The intermolecular forces, such as the Casimir and von der Waals forces, are also included in the model. Hamilton's principle is used to derive the governing equations and boundary conditions for the nonlinear Euler-Bernoulli beam with Eringen's nonlocal elasticity model. The differential quadrature method (DQM) is used to solve the governing equations. First, the static response to an applied DC voltage is determined to investigate the influence of scale effect on the maximum stable deflection and pull-in voltage of the device. Next, the dynamic response is investigated by examining the small scale effect on the natural frequencies of the system.

Original languageEnglish
Pages (from-to)117-128
Number of pages12
JournalComposite Structures
Publication statusPublished - 1 Feb 2015



  • Eringen's nonlocal model
  • MEMS
  • Microswitch
  • The Euler-Bernoulli beam theory
  • Von Kármán strain

ASJC Scopus subject areas

  • Ceramics and Composites
  • Civil and Structural Engineering

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