Vv. Varadan et al., MODELING OF PIEZOELECTRIC SENSOR FIDELITY, IEEE transactions on ultrasonics, ferroelectrics, and frequency control, 44(3), 1997, pp. 538-547
Ideal piezoelectric sensors should measure the response of a structure
in a nonintrusive manner. The size of the sensor should be relatively
small and its properties well matched to the structure. The voltage r
esponse of a piezoelectric sensor embedded in a fluid loaded plate str
ucture is modeled using a hybrid finite element approach. The structur
e is excited by an obliquely incident acoustic signal. Finite element
modeling is used far the structure and the fluid surrounding the trans
ducer region, and a plane wave representation is invoked to match the
displacement field on a mathematical boundary. On this boundary, conti
nuity of field derivatives is enforced by using a penalty factor and t
o further achieve transparency at the mathematical boundary, drilling
degrees of freedom (d.o.f.) are introduced in the finite element repre
sentation. Another novel feature in the FEM is the use of solid elemen
ts for the acoustic fluid augmented by an irrotational constraint to r
ender the fluid inviscid. Numerical results are presented for the sens
or response on an immersed plate structure. The voltage excited in the
piezoelectric sensor is studied as a function of sensor and host mate
rial properties, size of sensor, and poling direction of the sensor wi
th respect to the structure. The effect of multiple sensors on one ano
ther is also studied. It is found that piezoelectric sensors can be no
nintrusive and sensitive to the characteristics of the structure.