Hadi Mohammadi Hooyeh - Department of Solid Mechanics, Faculty of mechanical Engineering, University of Eyvanekey, Garmsar/Semnan, Iran
Ali Mohammadi Hooyeh - Department of Solid Mechanics, Faculty of mechanical Engineering, Sharif University of Technology, Tehran, Iran
Hasan Afshari - Department of Mechanical Engineering, Khomeinishahr Branch, Islamic Azad University, Khomeinishahr/Isfahan, Iran

In this study, the free vibration analysis of smart vibration control (SVC) systems based on Reddy – Levinson model and modified strain gradient theory is developed. This system consist of a micro beam at middle and two magneto-electro-elastic (MEE) composite micro beams at top and bottom which connected by enclosing elastic medium and simulated by Winkler and Pasternak foundation. The effects of the lower MEE composite micro beam in the absence of upper MEE composite micro beam and also the effect of both MEE composite micro beams together on the dimensionless natural frequency of the middle micro beam are evaluated. It is shown that the presence of both MEE composite micro beams together have less dimensionless natural frequency than presence of lower MEE composite micro beam alone. The results of this work can be useful to analysis, design and manufacture intelligent micro-systems to hamper resonance phenomenon or as a sensor to control the dynamic stability of micro structures.

Free Vibration analysis, Reddy - Levinson model, Smart vibration control system, three micro- and micro-composite beams