A fixed point iteration approach for analyzing the pull-in dynamics of beam-type electromechanical actuators

DOI10.1080/00207160.2020.1711887zbMath1480.65127OpenAlexW2999369519WikidataQ126403140 ScholiaQ126403140MaRDI QIDQ5031188

Heba Q. Alkafri, Vedat Suat Ertürk

Publication date: 18 February 2022

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2020.1711887

zbMATH Keywords

Green's functionnonlinear boundary value problemsCasimir forcefixed point iterationVan der Waals force

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear boundary value problems for ordinary differential equations (34B15) Electromagnetic effects in solid mechanics (74F15) Numerical solutions to equations with nonlinear operators (65J15)

Cites Work

• Bratu's problem: a novel approach using fixed-point iterations and Green's functions
• A new approach to the electrostatic pull-in instability of nanocantilever actuators using the ADM-Padé technique
• Bratu-like equation arising in electrospinning process: a Green's function fixed-point iteration approach
• Casimir force-induced instability in freestanding nanotweezers and nanoactuators made of cylindrical nanowires
• Approximating the effect of the Casimir force on the instability of electrostatic nano-cantilevers

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