Individual and combined static stabilities in electrostatically actuated initially curved coupled micro beams

DOI10.1016/j.euromechsol.2021.104460OpenAlexW3214066287MaRDI QIDQ2063417

Ashwin A. Seshia, Lior Medina

Publication date: 11 January 2022

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2021.104460

zbMATH Keywords

energy methodLyapunov stabilityquasi-static loadingimplicit arc-length Riks continuation methodmicro-meta-structuresnap-through model

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Micromechanics of solids (74M25) Stability of dynamical problems in solid mechanics (74H55) Bifurcation and buckling (74G60) Electromagnetic effects in solid mechanics (74F15)

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Cites Work

• Reduced-order models for microelectromechanical rectangular and circular plates incorporating the Casimir force
• Bistability criterion for electrostatically actuated initially curved micro plates
• Generalised path-following for well-behaved nonlinear structures
• Reduced-order models for MEMS applications
• A fast incremental/iterative solution procedure that handles “snap-through”
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