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.

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Published

2015-11-09

Issue

Vol. 13 No. 3 (2016)

Section

Articles

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