Tristable properties in electrostatically actuated initially curved coupled micro beams

Lior Medina, Ashwin A. Seshia

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

Abstract

A limit point behaviour analysis of a metastructure, composed of two double clamped, initially curved beams, coupled via a rigid truss at their respective centres, is carried out when subjected to a distributed electrostatic load. The analysis is based on a reduced order (RO) model resulting from Galerkin's decomposition, with symmetric buckling modes taken as the base functions, for either beam. All solutions employed the implicit arc-length "Riks" method to accommodate for winding equilibrium paths, while validation of the said results were carried out against finite differences (FD) direct solutions. In addition, local stability analysis via the energy method, conducted on the primary beam was instrumental in clarifying the role of the various extremum points by characterising which branches are stable, and which are not. The combined analysis has shown that the driving beam, which directly encounters the load, is able to possess bistable as well as tristable properties, provided that the metastructure meets certain geometrical parameters. Several variations of tristability are disclosed in the study. The analysis indicates that a model with at least three degrees of freedom (DOF) is needed to predict such configurations, as well as the various critical thresholds, with reasonable errors of around one percent when compared against FD. In so doing, the model can be used to provide static characterisation of the structure.

Original languageEnglish
Title of host publication15th International Conference on Micro- and Nanosystems (MNS)
PublisherAmerican Society of Mechanical Engineers (ASME)
ISBN (Electronic)9780791885482
DOIs
StatePublished - 2021
Externally publishedYes
Event15th International Conference on Micro- and Nanosystems, MNS 2021, Held as Part of the ASME 2021 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC-CIE 2021 - Virtual, Online
Duration: 17 Aug 202119 Aug 2021

Publication series

NameProceedings of the ASME Design Engineering Technical Conference
Volume11

Conference

Conference15th International Conference on Micro- and Nanosystems, MNS 2021, Held as Part of the ASME 2021 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC-CIE 2021
CityVirtual, Online
Period17/08/2119/08/21

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