ANALYTICAL COUPLE-STRESS SOLUTION FOR SIZE-DEPENDENT LARGE AMPLITUDE VIBRATIONS OF FG TAPERED-NANOBEAMS

Authors

  • MOSTAFA BAGHANI UNIVERSITY OF TEHRAN
  • MOHAMMAD MOHAMMADSALEHI
  • PEDRAM H.DABAGHAIN

Keywords:

NONLINEAR VIBRATION, COUPLE STRESS, ANALYTIC SOLUTION, FUNCTIONALLY GRADED MATERIALS

Abstract

IN THIS PAPER, ANALYTICAL COUPLE-STRESS SOLUTION FOR SIZE-DEPENDENT LARGE-AMPLITUDE VIBRATIONS OF FG (FUNCTIONALLY-GRADED) TAPERED BEAMS IS PRESENTED. USING THE MODIFIED COUPLE-STRESS THEORY, THE SMALL SCALE EFFECTS ARE ACCOUNTED FOR. EMPLOYING THE HOMOTOPY-PADE ANALYSIS METHOD, EFFICIENT AND ACCURATE ANALYTICAL EXPRESSIONS FOR THE DEFLECTION AND NON-LINEAR FREQUENCIES OF THE BOTH SINGLE AND DOUBLE TAPERED MICRO-BEAM ARE PRESENTED. VERY GOOD AGREEMENT IS OBSERVED BETWEEN THE PRESENT WORK RESULTS AND SOME AVAILABLE RESULTS REPORTED IN THE LITERATURE. THIS STUDY MAY BE HELPFUL TO INVESTIGATE THE SIZE-DEPENDENT MECHANICAL PROPERTIES OF MEMS. THEREFORE, THE PROPOSED ANALYTICAL SOLUTION CAN BE USED AS AN EFFICIENT TOOL FOR THE MATERIAL OR GEOMETRICAL PARAMETRIC STUDIES OF SMALL SCALE DEVICES CONSISTING OF MICRO-BEAMS FOR THEIR DESIGN AND OPTIMIZATION WHICH INVOLVES A LARGE NUMBER OF SIMULATIONS.

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Published

2015-09-22

Issue

Vol 13, No 1 (2016)

Section

Articles

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