Application of modified Adomian decomposition method to pull-in instability of nano-switches using nonlocal Timoshenko beam theory

DOI10.1016/j.apm.2017.10.011zbMath1480.74228OpenAlexW2762352967MaRDI QIDQ2295098

Yanyan Li

Publication date: 12 February 2020

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2017.10.011

zbMATH Keywords

Timoshenko beammodified Adomian decomposition methodanalytical approximate solutionEringen's nonlocal elasticity theorypull-instability

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Control, switches and devices (``smart materials) in solid mechanics (74M05) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

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Cites Work

• A new approach to the electrostatic pull-in instability of nanocantilever actuators using the ADM-Padé technique
• A new modification of the Adomian decomposition method for solving boundary value problems for higher order nonlinear differential equations
• Application of homotopy analysis method in studying dynamic pull-in instability of microsystems
• Surface stress in solids
• Inversion of nonlinear stochastic operators
• A new analytic solution for buckling of doubly clamped nano-actuators with integro differential governing equation using Duan-Rach Adomian decomposition method
• On first strain-gradient theories in linear elasticity
• Investigating the effect of Casimir and van der Waals attractions on the electrostatic pull-in instability of nano-actuators
• Reduced Polynomials and Their Generation in Adomian Decomposition Methods
• On the Effective Region of Convergence of the Decomposition Series Solution

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