Pull-in behaviors of micro-beam made of bidirectional functionally grade materials based on modified couple stress theory

Document Type: Research Paper

Authors

1 Department of Electrical Engineering, Amirkabir University of Technology, Tehran, Iran

2 Department of physics, center of basic science khatam ol-anbia (PBU) university, Tehran, Iran

10.22059/jcamech.2020.313559.570

Abstract

In this paper, pull-in behavior of cantilever micro/nano beams made of bi directional functionally graded materials (BDFGM) with small scale effects under electrostatic force is investigated. Couple stress theory is employed to study the influence of small-scale on pull-in behavior. The material properties except Poisson’s ratio obey the arbitrary function in the thickness and length direction. The approximate analytical solutions for the pull-in voltage and pull-in displacement of the microbeams are derived using the Galerkin method. Comparison between the results of present work with other article for pull-in behavior of a microbeams made of isotropic material reveals the accuracy of this study. Numerical results explored the effects of material length scale parameter, inhomogeneity constant, gap distance and dimensionless thickness.

Keywords

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Volume 51, Issue 2
December 2020
Pages 472-481
  • Receive Date: 12 November 2020
  • Revise Date: 21 November 2020
  • Accept Date: 21 November 2020