The nonlinear transverse vibrations of narrow microbeams by energy balance method based on collocation method

Author

Tagiyev, Vusal ; Durmaz, Seher ; Kaya, Metin O.

Author_Institution

Dept. of Aeronaut. Eng., Istanbul Tech. Univ., Istanbul, Turkey

fYear

2011

fDate

9-11 June 2011

Firstpage

49

Lastpage

51

Abstract

In this paper, the microbeam, which incorporates with the mid-plane stretching effect and distributed electrostatic force, is considered. After the beam model is introduced briefly, the governing equation of motion of the microbeam is solved by the energy balance method (EBM). The first and the second order approximate periodic solutions are obtained and plotted for various values of the parameters of the equation. The numerical solutions (Runge-Kutta) are also computed to illustrate good agreement between both results.

Keywords

beams (structures); micromechanical devices; nonlinear differential equations; numerical analysis; vibrations; beam model; collocation method; distributed electrostatic force; energy balance method; equation of motion; first order approximate periodic solutions; microbeams; midplane stretching effect; nonlinear transverse vibrations; numerical Runge-Kutta solutions; second order approximate periodic solutions; Approximation methods; Boundary conditions; Differential equations; Equations; Mathematical model; Micromechanical devices; Oscillators; Collocation method; Narrow microbeam; energy balance method;

fLanguage

English

Publisher

ieee

Conference_Titel

Recent Advances in Space Technologies (RAST), 2011 5th International Conference on

Conference_Location

Istanbul

Print_ISBN

978-1-4244-9617-4

Type

conf

DOI

10.1109/RAST.2011.5966884

Filename

5966884