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http://dx.doi.org/10.12989/sem.2014.52.5.937

Analysis of an electrically actuated fractional model of viscoelastic microbeams  

Bahraini, Seyed Masoud Sotoodeh (Department of Mechanical Engineering, Yazd University)
Eghtesad, Mohammad (School of Mechanical Engineering, Shiraz University)
Farid, Mehrdad (School of Mechanical Engineering, Shiraz University)
Ghavanloo, Esmaeal (School of Mechanical Engineering, Shiraz University)
Publication Information
Structural Engineering and Mechanics / v.52, no.5, 2014 , pp. 937-956 More about this Journal
Abstract
The MEMS structures usually are made from silicon; consideration of the viscoelastic effect in microbeams duo to the phenomena of silicon creep is necessary. Application of the fractional model of microbeams made from viscoelastic materials is studied in this paper. Quasi-static and dynamical responses of an electrically actuated viscoelastic microbeam are investigated. For this purpose, a nonlinear finite element formulation of viscoelastic beams in combination with the fractional derivative constitutive equations is elucidated. The four-parameter fractional derivative model is used to describe the constitutive equations. The electric force acting on the microbeam is introduced and numerical methods for solving the nonlinear algebraic equation of quasi-static response and nonlinear equation of motion of dynamical response are described. The deflected configurations of a microbeam for different purely DC voltages and the tip displacement of the microbeam under a combined DC and AC voltages are presented. The validity of the present analysis is confirmed by comparing the results with those of the corresponding cases available in the literature.
Keywords
viscoelastic microbeam; fractional derivatives; finite element method; electrical actuation; AC and DC voltage;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
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