New observation on automatic phase adjustment of a smart cantilever resonator

Abstract

The condition for producing sustained oscillation during the placement of additional mass on a piezo sensed/actuated cantilever beam and diaphragm structure is derived. The phase condition for continuous oscillation of these structures is met automatically by adjusting the phase angle of the vibrating structure with a resistor–capacitor network in feedback. The concept is evaluated for the measurement of mass analytically, through numerical simulation, and is verified experimentally.