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Paper Information

Journal:   MODARES MECHANICAL ENGINEERING   JULY 2017 , Volume 17 , Number 4 ; Page(s) 134 To 142.
 
Paper: 

NONLINEAR VIBRATIONS AND STABILITY ANALYSIS OF A MICRO ROTATING SHAFT BY CONSIDERING THE MODIFIED COUPLE STRESS THEORY AND MICRO INERTIA EFFECT

 
 
Author(s):  GHASABI SEYED ALI, SHAHGHOLI MAJID*, ARBABTAFTI MOHAMMAD REZA
 
* DEPARTMENT OF MECHANICAL ENGINEERING, SHAHID RAJAEE TEACHER TRAINING UNIVERSITY, TEHRAN, IRAN
 
Abstract: 

In this paper stability analysis of a nonlinear micro rotating shaft when the system is near the primary resonances by considering the modified couple stress theory and micro inertia effect is investigated. The geometric nonlinearities due to classical and non-classical theories (the modified couple stress theory) are considered. Using Hamilton principle, the nonlinear equations of motion are obtained. In order to solve the equations of motion the multiple scales method is used and the analytical expressions are presented for forward and backward frequencies which illustrate the effects of modified couple stress theory and micro inertia effect. The frequency response curves, amplitude versus damping coefficient, amplitude versus total eccentricities etc. are reported. It is seen that due to the modified couple stress theory and micro inertia effect the amplitude of the system decreases and the loci of bifurcation points is changed. Symmetrical micro-shaft in the presence of classical theory and without micro inertia effects becomes completely stable in the lowest damping coefficient and asymmetrical micro-shaft in the presence of classical theory and without micro inertia effects becomes completely stable in the highest damping coefficient. Symmetrical micro-shaft in the presence of modified couple stress theory and with micro inertia effects becomes completely stable in the lowest total eccentricity and asymmetrical micro shaft in the presence of classical theory and without micro inertia effects becomes completely stable in the highest total eccentricity. So, considering the small-scale effects due to strain and velocity gradients for analysis of the system is mandatory.

 
Keyword(s): NONLINEAR VIBRATIONS AND STABILITY, MICRO ROTATING SHAFT, MODIFIED COUPLE STRESS THEORY, MICRO INERTIA EFFECT
 
References: 
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