Mf. Coughlin et al., DETERMINING SPRING STIFFNESS BY THE RESONANCE FREQUENCY OF CANTILEVERED PIEZOELECTRIC BIMORPHS, IEEE transactions on ultrasonics, ferroelectrics, and frequency control, 44(4), 1997, pp. 730-732
The dynamic behavior of a bimorph clamped at one end and constrained b
y a linear spring at the other end was studied, The fundamental resona
nce frequency of the bimorph increased by an amount related to the spr
ing stiffness when compared to the case where the end was free, Theref
ore, a cantilever bimorph provides a technique to assess the stiffness
of a material by a simple measurement of the resonant frequency, Sinc
e the bimorph behavior is determined in part by its geometry, the devi
ce can be designed for mechanical measurement of microscopic systems s
uch as living cells.