DYNAMIC PULL-IN INSTABILITY OF GEOMETRICALLY NONLINEAR ACTUATED MICRO-BEAMS BASED ON THE MODIFIED COUPLE STRESS THEORY
Keywords:DYNAMIC PULL-IN INSTABILITY, MODIFIED COUPLE STRESS THEORY, HOMOTOPY PERTURBATION METHOD, FREQUENCY Â AMPLITUDE RELATIONSHIP, HOMOCLINIC ORBIT.
AbstractTHIS PAPER PRESENTS THE APPLICATION OF NOVEL ASYMPTOTIC APPROACH ON NONLINEAR VIBRATING ACTUATED MICRO-BEAMS. HOMOTOPY PERTURBATION METHOD WITH AN AUXILIARY TERM IS APPLIED TO PRODUCE THE HIGH ACCURACY ANALYTICAL SOLUTION AS WELL AS HIGH ORDER FREQUENCY- AMPLITUDE RELATIONSHIP. THE NONLINEAR GOVERNING EQUATION OF MICRO BEAM PRE-DEFORMED BY AN ELECTRIC FIELD INCLUDES BOTH EVEN AND ODD NONLINEARITIES. THE INFLUENCES OF BASIC NON-DIMENSIONAL PARAMETERS ON PULL-IN INSTABILITY AS WELL AS THE NATURAL FREQUENCY ARE INVESTIGATED BY TWO MODERN ANALYTICAL METHODS. IT IS DEMONSTRATED THAT THE TWO TERMS IN SERIES EXPANSIONS ARE SUFFICIENT TO PRODUCE HIGH ACCURACY SOLUTION OF THE MICRO-STRUCTURE. THE ACCURACY OF PROPOSED ASYMPTOTIC APPROACH IS VALIDATED VIA NUMERICAL RESULTS.
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