INVESTIGATION OF SIZE-DEPENDENCY IN FREE-VIBRATION OF MICRO-RESONATORS BASED ON THE STRAIN GRADIENT THEORY

Authors

  • RAMIN VATANKHAH SCHOOL OF MECHANICAL ENGINEERING, SHIRAZ UNIVERSITY, SHIRAZ, IRAN
  • MOHAMMADHOSSEIN KAHROBAIYAN INSTITUTE OF MICROENGINEERING, SCHOOL OF ENGINEERING, ECOLE POLYTECHNIQUE FéDéRALE DE LAUSANNE (EPFL), LAUSANNE, SWITZERLAND

Keywords:

STRAIN GRADIENT THEORY, MICRO-RESONATOR, SIZE-DEPENDENCY, LENGTH SCALE PARAMETER, FREE VIBRATION.

Abstract

THIS PAPER INVESTIGATES THE VIBRATION BEHAVIOR OF MICRO-RESONATORS BASED ON THE STRAIN GRADIENT THEORY, A NON-CLASSICAL CONTINUUM THEO-RY CAPABLE OF CAPTURING THE SIZE EFFECT APPEARING IN MICRO-SCALE STRUC-TURES. THE MICRO-RESONATOR IS MODELED AS A CLAMPED-CLAMPED MICRO-BEAM WITH AN ATTACHED MASS SUBJECTED TO AN AXIAL FORCE. THE GOVERN-ING EQUATIONS OF MOTION AND BOTH CLASSICAL AND NON-CLASSICAL SETS OF BOUNDARY CONDITIONS ARE DEVELOPED BASED ON THE STRAIN GRADIENT THEORY. THE NORMALIZED NATURAL FREQUENCY OF THE MICRO-RESONATOR IS EVALUATED AND THE INFLUENCES OF VARIOUS PARAMETERS ARE ASSESSED. IN ADDITION, THE CURRENT RESULTS ARE COMPARED TO THOSE OF THE CLASSICAL AND MODIFIED COUPLE STRESS CONTINUUM THEORIES.

Published

2015-11-09

Issue

Section

Articles