Thermodynamic Stability of Sandwich Micro-Beam with Honeycomb Core and Piezoelectric / Porous Viscoelastic Graphene Facesheets

Abstract

Thermodynamic stability of sandwich micro beam with honeycomb core and piezoelectric / porous visco graphene sheets resting on visco Pasternak. In order to consider size effect, strain gradient theory is utilized. Using energy method and zigzag theory, final motion equations of sandwich micro beam are derived and solved by Galerkin method. The effects of parameters such as small scale, temperature changes, core to face sheets ratio, intensity of electric fields and elastic medium on the thermal dynamic stability of sandwich micro beam are investigated. Results indicated that by increasing temperature changes, the origins of the instability regions moves to lower excitation frequencies and decreases the width of the instability region of sandwich micro beam at a certain dynamic load factor. In addition, increasing porosity indexes leads to increase excitation frequencies and consequently cause to more stable system . The results of present work can be used to optimum design and control of micro-thermal/electro-mechanical devices.