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Analytical approximations to nonlinear oscillation of nanoelectro-mechanical resonators

  • G. M. IsmailEmail author
  • M. Abul-Ez
  • N. M. Farea
  • N. Saad
Regular Article
  • 48 Downloads

Abstract.

We introduce a new analytical-approximate method based on the global residue harmonic balance method (GRHBM) to study the oscillation of nonlinear nanoelectromechanical resonators. The proposed method is efficiently implemented and evaluated numerically. An illustrative example demonstrates the validity and applicability of the method, further discussed in detail. A highly remarkable agreement found between the approximated solution obtained with the first-order approximation of the present approach and the numerical solutions deduced by other methods that also show the effectiveness of the current approach.

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Copyright information

© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • G. M. Ismail
    • 1
    Email author
  • M. Abul-Ez
    • 1
  • N. M. Farea
    • 1
  • N. Saad
    • 2
  1. 1.Department of Mathematics, Faculty of ScienceSohag UniversitySohagEgypt
  2. 2.School of Mathematical and Computational SciencesUniversity of Prince Edward IslandCharlottetownCanada

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