Staff Members - Benha University
Sub-Harmonic Solutions of Even Order (1/2,1/4), To A Weakly Non-Linear Second Order Differential Equation Governed the Motion (MEMS)
International Journal of Basic and Applied Science, • 2015
Publication Information
Authors
A. M. Elnaggar, A. F. El-Bassiouny, A. M. Omran
Keywords
MEMS, Weakly non-linear differential equation, Multiple scales
method, Stability and Parametric Excitation.
Journal
International Journal of Basic and Applied Science,
Publisher
Not Available
Volume
3
Issue
Not Available
Pages
Not Available
publication.type
International
Paper Link
Not Available
Supplementary Materials
Not Available
Abstract
Sub-harmonic periodic solutions of even order (
1
2
,
1
4
) to a weakly nonlinear
second order differential equations which governed the motion of a microelectro
mechanical system (MEMS) (Bandpass Filter) are investigated analytically.
The method of multiple scales is used to determine the modulation equations in the
amplitude and the phase, steady state solutions. The frequency-response equation
and stability analysis of the steady state solutions are obtained. Numerical study of
the frequency-response equations and stability equations are given for different
values of the parameters. Results are plotted in group of Figures, on which solid
(dashed) curves are stable (unstable) solutions. Finally discussion and conclusion
are given.
1
2
,
1
4
) to a weakly nonlinear
second order differential equations which governed the motion of a microelectro
mechanical system (MEMS) (Bandpass Filter) are investigated analytically.
The method of multiple scales is used to determine the modulation equations in the
amplitude and the phase, steady state solutions. The frequency-response equation
and stability analysis of the steady state solutions are obtained. Numerical study of
the frequency-response equations and stability equations are given for different
values of the parameters. Results are plotted in group of Figures, on which solid
(dashed) curves are stable (unstable) solutions. Finally discussion and conclusion
are given.