Chaotic dynamics and forced harmonic vibration analysis of magneto-electro-viscoelastic multiscale composite nanobeam

Author(s):  
Farzad Ebrahimi ◽  
Mahsa karimiasl ◽  
Vinyas Mahesh
Author(s):  
Mehran Sadri ◽  
Davood Younesian ◽  
Ebrahim Esmailzadeh

Nonlinear harmonic vibration analysis of a clamped-clamped micro-beam is studied in this paper. Nonlinear forced vibration of a special kind of micro-actuators is examined for the first time. Galerkin method is employed to derive the equation of motion of the micro-beam with two symmetric potential wells. An electric force composed of DC and AC components is applied to the structure. Multiple Scales method (MSM) is used to solve the nonlinear equation of motion. Primary and secondary resonances are taken into account and steady-state response of the microbeam is obtained. A parametric study is then carried out to investigate the effects of different parameters on the amplitude-frequency curves. Finally, phase plot and Poincare map have been taken into consideration to investigate the influence of the amplitude of the harmonic excitation on stability of the microelectromechanical system.


2013 ◽  
Vol 332 (8) ◽  
pp. 1930-1946 ◽  
Author(s):  
Karel Vergote ◽  
Caroline Vanmaele ◽  
Dirk Vandepitte ◽  
Wim Desmet

1970 ◽  
Vol 25 (2) ◽  
pp. 134-138 ◽  
Author(s):  
M. Traetteberg ◽  
G. Hagen ◽  
S. J. Cyvin

A harmonic-vibration analysis for the vibrations of 1,3,5,7-cyclooctatetraene was performed. A suitable set of symmetry coordinates is specified, and the corresponding symmetry force constants for C8H8 are given. The developed force fields were used to calculate mean amplitudes of vibration for C8H8 and C8D8. Calculated perpendicular amplitude correction coefficients for the various interatomic distances are also reported.


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