MODELING THE EFFECT OF VAN DER WAALS ATTRACTION ON THE INSTABILITY OF ELECTROSTATIC CANTILEVER AND DOUBLY-SUPPORTED NANO-BEAMS USING MODIFIED ADOMIAN METHOD

DOI10.1142/S0219455412500368zbMath1359.74028OpenAlexW2012449440MaRDI QIDQ2972607

Asiehsadat Kazemi, Rahman Soroush, Mohamadreza Abadyan, Ali Koochi

Publication date: 7 April 2017

Published in: International Journal of Structural Stability and Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219455412500368

zbMATH Keywords

instabilityvan der Waals forcecantilever nano-beamdoubly-supported nano-beammodified Adomian decomposition (MAD)

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Electromagnetic effects in solid mechanics (74F15) Micromechanical theories (74A60)

Related Items (7)

A numerical investigation of the buckling of doubly clamped nano-actuators governed by an integro-differential equation ⋮ Stability analysis of electrostatically actuated nano/micro-beams under the effect of van der Waals force, a semi-analytical approach ⋮ Multi-Level Residue Harmonic Balance Method for the Transmission Loss of a Nonlinearly Vibrating Perforated Panel ⋮ Natural frequency analysis of two nonlinear panels coupled with a cavity using the approximate elliptic integral solution and the method of harmonic residual minimization ⋮ A frequency criterion for doubly clamped beam-type N/MEMS subjected to the van der Waals attraction ⋮ To study existence of at least three weak solutions to a system of over-determined Fredholm fractional integro-differential equations ⋮ A new analytic solution for buckling of doubly clamped nano-actuators with integro differential governing equation using Duan-Rach Adomian decomposition method

Cites Work

• Adomian decomposition method used for solving nonlinear pull-in behavior in electrostatic micro-actuators
• A reliable modification of Adomian decomposition method
• Approximate solutions to boundary value problems of higher order by the modified decomposition method
• Homotopy perturbation method for solving boundary value problems
• On the truth of nanoscale for nanobeams based on nonlocal elastic stress field theory: equilibrium, governing equation and static deflection
• Closed-form solutions of the pull-in instability in nano-cantilevers under electrostatic and intermolecular surface forces
• Experiments and modeling of carbon nanotube-based NEMS devices
• Approximating the effect of the Casimir force on the instability of electrostatic nano-cantilevers
• The numerical solution of sixth-order boundary value problems by the modified decomposition method

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