On the usage of Berger's model for electrostatically actuated circular curved micro plates

Lior Medina*, Rivka Gilat, Slava Krylov

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Scopus citations

Abstract

Micro- and nanolectromechanical systems (MEMS/NEMS) incorporating two-dimensional structural elements such as plates attracted significant interest in recent years. In this work, we explore implementation of a model based on Berger's approximation, which significantly simplifies the formulation of a curved plate and describes it by a single governing equation. The solution of this equation is based on the Galerkin decomposition with buckling modes of an initially flat plate used as the base functions. To track the unstable branches of the equilibrium curve, a continuous method based on the Riks algorithm is implemented. The validation of the models is conducted for two loading cases, "mechanical" deflection-independent load, and electrostatic displacement-dependent load. In the case of an initially flat plate, results provided by the reduced order (RO) Galerkin models were compared to results available in the literature. In the case of a curved plate undergoing "mechanical" loading, results of a direct finite elements (FE) analysis, as well as of a finite differences (FD) analysis, were used as a reference. We show that the DOF Berger RO model can be conveniently used for analysis of plates with small curvature, as it provides satisfactory accuracy. Further more, a single DOF model can be used for the development of a bistability criterion.

Original languageEnglish
Title of host publication22nd Design for Manufacturing and the Life Cycle Conference; 11th International Conference on Micro- and Nanosystems
PublisherAmerican Society of Mechanical Engineers (ASME)
ISBN (Electronic)9780791858165
DOIs
StatePublished - 2017
EventASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2017 - Cleveland, United States
Duration: 6 Aug 20179 Aug 2017

Publication series

NameProceedings of the ASME Design Engineering Technical Conference
Volume4

Conference

ConferenceASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2017
Country/TerritoryUnited States
CityCleveland
Period6/08/179/08/17

Funding

FundersFunder number
Ariel University and Israel Ministry of Science, Technology and Space
Israel Science Foundation1272/16

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