Adomian decomposition method used for solving nonlinear pull-in behavior in electrostatic micro-actuators

DOI10.1016/j.mcm.2005.06.001zbMath1180.78015OpenAlexW2028618860MaRDI QIDQ1019310

Chao-Jung Chen, Jao-Hwa Kuang

Publication date: 2 June 2009

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2005.06.001

zbMATH Keywords

Adomian decomposition methodelectrostaticMEMSpull-inmicro-actuatorsmicroelectromechanical

Mathematics Subject Classification ID

Related Items (11)

Anharmonic 1D actuator model including electrostatic and Casimir forces with fractional damping perturbed by an external force ⋮ Solution of the fully fuzzy linear systems using the decomposition procedure ⋮ An approximate analytic solution of the nonlinear Riccati differential equation ⋮ Stability analysis of electrostatically actuated nano/micro-beams under the effect of van der Waals force, a semi-analytical approach ⋮ MODELING THE EFFECT OF VAN DER WAALS ATTRACTION ON THE INSTABILITY OF ELECTROSTATIC CANTILEVER AND DOUBLY-SUPPORTED NANO-BEAMS USING MODIFIED ADOMIAN METHOD ⋮ Solution of nonlinear pull-in behavior in electrostatic micro-actuators by using He's homotopy perturbation method ⋮ A frequency criterion for doubly clamped beam-type N/MEMS subjected to the van der Waals attraction ⋮ Dynamic analysis of size-dependent micro-beams with nonlinear elasticity under electrical actuation ⋮ Analytical study on size-dependent static pull-in analysis of clamped-clamped nano-actuators in liquid electrolytes ⋮ A new analytic solution for buckling of doubly clamped nano-actuators with integro differential governing equation using Duan-Rach Adomian decomposition method ⋮ Primary and secondary resonance analyses of clamped-clamped micro-beams

Cites Work

• A convenient computational form for the Adomian polynomials
• The decomposition approach to inverse heat conduction
• A reliable modification of Adomian decomposition method
• A comparison between Adomian decomposition method and Taylor series method in the series solutions
• The theoretical foundation of the Adomian method
• Modified Adomian polynomials
• Approximate solutions to boundary value problems of higher order by the modified decomposition method
• Nonlinear equations with mixed derivatives
• Inversion of nonlinear stochastic operators
• A modification of Adomian's solution for nonlinear oscillatory systems
• A decomposition method for solving the convective longitudinal fins with variable thermal conductivity
• Practical formulae for the calculus of multivariable Adomian polynomials
• Solution of coupled nonlinear partial differential equations by decomposition
• Analytic approximate solution for a nonlinear oscillator equation
• The numerical solution of sixth-order boundary value problems by the modified decomposition method

This page was built for publication: Adomian decomposition method used for solving nonlinear pull-in behavior in electrostatic micro-actuators