Free Vibration Analysis of SVC Systems Based on Reddy-Levinson Model Using DQM

Document Type: Original Research Paper

Authors

1 Department of Solid Mechanics, Faculty of mechanical Engineering, University of Eyvanekey, Garmsar/Semnan, Iran

2 Department of Solid Mechanics, Faculty of mechanical Engineering, Sharif University of Technology, Tehran, Iran

3 Department of Mechanical Engineering, Khomeinishahr Branch, Islamic Azad University, Khomeinishahr/Isfahan, Iran

10.22111/tpnms.2019.25210.1154

Abstract

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.

Keywords