“…The geometric properties (5) and (6) are with respect to an equivalent fixed neutral axis, which is associated with the time-varying neutral axis of the hybrid beam. The position of this axis is given by the coordinate , which is measured from the top of the cross section (7) Using the complex flexural rigidity given by (4), the equation of motion of a harmonically excited hybrid beam, considering the only loss mechanism to be associated with the loss modulus of the sensitive layer, takes the well-known form (e.g., [16]) (8) where is the (complex and harmonically varying) transverse displacement, is the arbitrary distribution of the force amplitude, is the mass per unit length of the beam (including coating), and is the angular forcing frequency. Following standard procedures for solving (8) (e.g., [16]), an expression for the resonant frequency can be obtained (9) Mathematically, the expression for the quality factor is given by (10) where is the frequency bandwidth taken with 3-dB attenuation from maximum gain.…”