The damping characteristics of microcantilevers are clarified analytically
and experimentally to establish a dynamic design method of micromechanical
systems. First, an approximate formula of airflow damping was derived using
the Navier-Stokes equation. A precise measurement apparatus was then devel
oped to verify the theory. The damping ratios of cantilevers ranging from 0
.1 mm to 100 mm in length were measured, and the effects of beam size, vibr
ational mode number, and vibrational amplitude on the damping ratio were st
udied.