Anharmonic 1D actuator model including electrostatic and Casimir forces with fractional damping perturbed by an external force
type: Item
instance of: scholarly article
title: Anharmonic 1D actuator model including electrostatic and Casimir forces with fractional damping perturbed by an external force
zbMATH Open document ID: 1404.70054
author: Maryam Mansoori Kermani
author: Maryam Dehestani
published in: Acta Mechanica Sinica
publication date: 2018-12-19T00:00:00Z
Mathematics Subject Classification ID: 70K40
zbMATH DE Number: 6995552
zbMATH Keywords: Murrell-Mottram potential
zbMATH Keywords: Lippincott potential
zbMATH Keywords: Casimir force
zbMATH Keywords: fractional damping
zbMATH Keywords: pull-in parameter
zbMATH Keywords: Adomian decomposition method
describes a project that uses: Mathematica
MaRDI profile type: Publication
full work available at URL: s10409-017-0746-8
OpenAlex ID: W2757603383
cites work: Closed-form solutions of the pull-in instability in nano-cantilevers under electrostatic and intermolecular surface forces
cites work: Studying thin film damping in a micro-beam resonator based on non-classical theories
cites work: Q5787728
cites work: Nonlinear behavior for nanoscale electrostatic actuators with Casimir force
cites work: New developments in the Casimir effect
cites work: The oscillatory behavior, static and dynamic analyses of a micro/nano gyroscope considering geometric nonlinearities and intermolecular forces
cites work: Anharmonic vibrations of a nano-sized oscillator with fractional damping
cites work: Nonlinear dynamic response of beam and its application in nanomechanical resonator
cites work: Solving the nonlinear equations for one-dimensional nano-sized model including Rydberg and Varshni potentials and Casimir force using the decomposition method
cites work: A review of the decomposition method in applied mathematics
cites work: Adomian decomposition method used for solving nonlinear pull-in behavior in electrostatic micro-actuators
cites work: An algorithm for Adomian decomposition method
cites work: A comparison between Adomian decomposition method and Taylor series method in the series solutions
cites work: Fractional Derivatives and Special Functions
cites work: Q5558293
cites work: Modeling of a mass-spring-damper system by fractional derivatives with and without a singular kernel
cites work: Numerical study of modified Adomian's method applied to Burgers equation
cites work: Relationship between Morse and Murrell-Mottram potentials at long range
cites work: Decomposition methods: A new proof of convergence
Wikidata QID: Q130186495
DOI: 10.1007/S10409-017-0746-8
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description: scientific article; zbMATH DE number 6995552