APPLICATION OF HIGHER ORDER HAMILTONIAN APPROACH TO THE NONLINEAR VIBRATION OF MICRO ELECTRO MECHANICAL SYSTEMS

Authors

  • SADEGH SADEGHZADEH IRAN UNIVERSITY OF SCIENCE AND TECHNOLOGY
  • ALI KABIRI IRAN UNIVERSITY OF SCIENCE AND TECHNOLOGY

Keywords:

HIGHER ORDER HAMILTONIAN, MEMS, FREE VIBRATIONS, EULER-BERNOULLI THEORY, GALERKIN METHOD

Abstract

THIS PAPER IMPLEMENTS THE HIGHER ORDER HAMILTONIAN METHOD TO ANALYZE AN ELECTROSTATICALLY ACTUATED NONLINEAR MICRO BEAM-BASED MICRO ELECTRO MECHANICAL OSCILLATOR. FIRST, SECOND AND THIRD APPROXIMATE SOLUTIONS ARE OBTAINED, AND THE FREQUENCY RESPONSES OF THE SYSTEM ARE VERIFIED BY ENERGY BALANCE METHOD SOLUTION AND VARIATIONAL APPROACH (VA). AFTER DRIVING THE EQUATION OF MOTION BASED ON THE EULER-BERNOULLI BEAM THEORY, GALERKIN METHOD HAS BEEN USED TO SIMPLIFY THE NONLINEAR EQUATION OF MOTION. HIGHER ORDER HAMILTONIAN APPROACH HAS BEEN USED TO SOLVE THE PROBLEM AND INTRODUCE A DESIGN STRATEGY. PHASE PLANE DIAGRAM OF ELECTROSTATICALLY ACTUATED MICRO BEAM HAS PLOTTED TO SHOW THE STABILITY OF PRESENTED NONLINEAR SYSTEM AND NATURAL FREQUENCIES ARE CALCULATED TO USE FOR RESONATOR DESIGN. ACCORDING TO THE NUMERICAL RESULTS, THE SECOND APPROXIMATE IS MORE ACCEPTABLE AND RESULTS SHOW THAT ONE COULD OBTAIN A PREDESIGN STRATEGY BY PREDICTION OF EFFECTS OF MECHANICAL PROPERTIES AND ELECTRICAL COEFFICIENTS ON THE STABILITY AND FREE VIBRATION OF COMMON ELECTROSTATICALLY ACTUATED MICRO BEAM.

Author Biographies

SADEGH SADEGHZADEH, IRAN UNIVERSITY OF SCIENCE AND TECHNOLOGY

ASSISTANT PROFESSOR, HEAD OF SMART MICRO/NANO ELECTRO MECHANICAL SYSTEMS LAB (SMNEMS LAB), SCHOOL OF NEW TECHNOLOGIES, IRAN UNIVERSITY OF SCIENCE AND TECHNOLOGY

ALI KABIRI, IRAN UNIVERSITY OF SCIENCE AND TECHNOLOGY

SCHOOL OF RAILWAY ENGINEERING, ROLLING STOCK, IRAN UNIVERSITY OF SCIENCE AND TECHNOLOGY (IUST), 16846-13114, TEHRAN, IRAN

Published

2016-01-05

Issue

Section

Articles