GAP DEPENDENT BIFURCATION BEHAVIOR OF A NANO-BEAM

Authors

  • MOHAMMAD FATHALILOU MECHANICAL ENGINEERING DEPARTMENT, UNIVERSITY OF TABRIZ, IRAN,
  • MORTEZA SADEGHI
  • GHADER REZAZADEH MECH. ENG. DEPT. URMIA UNIVERSITY

Keywords:

NANO-BEAM, ELECTROSTATIC, STABILITY, BIFURCATION, COUPLE STRESS.

Abstract

THIS PAPER PRESENTS A STUDY ON THE GAP DEPENDENT BIFURCATION BEHAVIOR OF AN ELECTRO STATICALLY-ACTUATED NANO-BEAM. THE SIZE-DEPENDENT BEHAVIOR OF THE BEAM WAS TAKEN INTO ACCOUNT BY APPLYING THE COUPLE STRESS THEORY. TWO SMALL AND LARGE GAP DISTANCE REGIMES HAVE BEEN CONSIDERED IN WHICH THE INTERMOLECULAR VDW AND CASIMIR FORCES ARE DOMINANT, RESPECTIVELY. IT HAS BEEN SHOWN THAT CHANGING THE GAP SIZE CAN AFFECT THE FUNDAMENTAL FREQUENCY OF THE BEAM. THE BIFURCATION DIAGRAMS FOR SMALL GAP DISTANCE REVEALED THAT BY CHANGING THE GAP SIZE, THE NUMBER AND TYPE OF THE FIXED POINTS CAN CHANGE. HOWEVER, FOR LARGE GAP REGIME, WHERE THE CASIMIR FORCE IS THE DOMINANT INTERMOLECULAR FORCE, CHANGING THE GAP SIZE DOES NOT AFFECT THE QUALITY OF THE BIFURCATION BEHAVIOR.

Author Biographies

MORTEZA SADEGHI

MECHANICAL ENGINEERING DEPARTMENT, UNIVERSITY OF TABRIZ, IRAN,

GHADER REZAZADEH, MECH. ENG. DEPT. URMIA UNIVERSITY

PROFESSOR OF MECH. ENG. DEPT. OF  URMIA UNIVERSITY, URMIA

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Published

2014-10-07

Issue

Vol. 11 No. 13 (2014)

Section

Articles

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