Author/Authors :
Shahani, A.R Department of Applied Mechanics - Faculty of Mechanical Engineering - K.N. Toosi University of Technology, Tehran , Rezazadeh, G Mechanical Engineering Departments - Urmia University , Rahmani, A Department of Applied Mechanics - Faculty of Mechanical Engineering - K.N. Toosi University of Technology, Tehran
Abstract :
In the present work the pull-in voltage of a micro cracked cantilever beam
subjected to nonlinear electrostatic pressure was studied. Two mathematical
models were employed for modeling the problem: a lumped mass model and a
classical beam model. The effect of crack in the lumped mass model is the
reduction of the effective stiffness of the beam and in the beam model; the crack
is modeled as a massless rotational spring the compliance of which is related to
the crack depth. Using these two models the pull-in voltage is extracted in the
static and dynamic cases. Stability analysis is also accomplished. It has been
observed that the pull-in voltage decreases as the crack depth increases and also
when the crack approaches the clamped support of the beam. The finding of this
research can further be used as a non-destructive test procedure for detecting
cracks in micro-beams.
