An investigation of the static and dynamic behavior of electrically actuated rectangular microplates

Shahid Saghir, Mohammad I. Younis

Research output: Contribution to journalArticlepeer-review

32 Scopus citations

Abstract

We present an investigation of the static and dynamic behavior of the nonlinear von-Karman plates when actuated by the nonlinear electrostatic forces. The investigation is based on a reduced order model developed using the Galerkin method, which rely on modeshapes and in-plane shape functions extracted using a finite element method. In this study, a fully clamped microplate is considered. We investigate the static behavior and the effect of different non-dimensional design parameters. The static results are validated by comparison with the results calculated by a finite element model. The forced-vibration response of the plate is then investigated when the plate is excited by a harmonic AC load superimposed to a DC load. The dynamic behavior is examined near the primary and secondary (superharmonic and subharmonic) resonances. The microplate shows a strong hardening behavior due to the cubic nonlinearity of mid-plane stretching. However, the behavior switches to softening as the DC load is increased. Finally, near-square plates are studied to understand the effect of geometric imperfections of microplates.
Original languageEnglish (US)
Pages (from-to)81-93
Number of pages13
JournalInternational Journal of Non-Linear Mechanics
Volume85
DOIs
StatePublished - Jun 22 2016

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

Fingerprint Dive into the research topics of 'An investigation of the static and dynamic behavior of electrically actuated rectangular microplates'. Together they form a unique fingerprint.

Cite this