Title: On the application of Sturm's theorem to analysis of dynamic pull-in for a graphene-based MEMS model
Authors: Omarov, Daniyar
Nurakhmetov, Daulet
Wei, Dongming
Skrzypacz, Piotr
Citation: Applied and Computational Mechanics. 2018, vol. 12, no. 1, p. 59-72.
Issue Date: 2018
Publisher: University of West Bohemia
Document type: článek
URI: http://hdl.handle.net/11025/31338
ISSN: 1802-680X (Print)
2336-1182 (Online)
Keywords: MEMS;grafen;vtáhnutí;periodická řešení;jedinečnost;Sturmův teorém
Keywords in different language: MEMS;graphene;pull-in;periodic solutions;singularity;Sturm’s theorem
Abstract: A novel procedure based on the Sturm’s theorem for real-valued polynomials is developed to predict and identify periodic and non-periodic solutions for a graphene-based MEMS lumped parameter model with general initial conditions. It is demonstrated that under specific conditions on the lumped parameters and the initial conditions, the model has certain periodic solutions and otherwise there are no such solutions. This theoretical procedure is made practical by numerical implementationswith Python scripts to verify the predicted behaviour of the solutions. Numerical simulations are performed with sample data to justify by this procedure the analytically predicted existence of periodic solutions.
Rights: © 2018 University of West Bohemia. All rights reserved.
Appears in Collections:Volume 12, number 1 (2018)
Volume 12, number 1 (2018)

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