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

Document Type

Article

Source of Publication

International Journal of Computer Mathematics

Publication Date

1-1-2020

Abstract

© 2020 Informa UK Limited, trading as Taylor & Francis Group. In this paper, a numerical approach is suggested to find a semi-analytical solution for the common nonlinear boundary value problems (BVPs) of cantilever-type micro-electromechanical system (MEMS) and nano-electromechanical system (NEMS) with a set of model parameters. The nonlinear BVPs that are studied involve the states of the single and double cantilever-shaped beams under the influence of Casimir and Van der Waals force for proper distances of separation. The method is based upon an integral operator that is formed considering Green’s function connected with the execution of Picard’s or Mann’s fixed point schemes. The numerical results for different cases of beam are presented and compared with those obtained by previous works to show the applicability, efficiency, and high accuracy of the suggested method.

ISSN

0020-7160

Publisher

Informa UK Limited

Volume

97

Issue

12

First Page

2531

Last Page

2545

Disciplines

Electrical and Computer Engineering

Keywords

Casimir force, Fixed point iteration, Green’s function, nonlinear boundary value problems, Van der Waals force

Scopus ID

85096947111

Indexed in Scopus

yes

Open Access

no

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