Table 1 Properties of used piezoelectric material21.

From: Introduction of a novel frequency converter using piezoelectric vibrations modes

Parameter

Symbol

Value

Electromechanical coupling coefficient

Kp

0.60

K31

0.36

K33

0.70

K15

0.70

Kt

0.48

Relative electric capacity rate of freedom

\({\varepsilon }_{{r}^{3}}^{T}\)

1350

\({\varepsilon }_{{r}^{1}}^{T}\)

1900

Constant of elasticity (× 10–12 m2/N)

\({s}_{11}^{E}\)

13

\({s}_{33}^{D}\)

8.5

\({s}_{55}^{D}\)

21.5

Piezoelectricity (× 10–12 m/v or C/N)

d31

 − 150

d33

320

d15

530

Mechanical quality factor

Qm

400

Frequency constant (Hz.m)

Nd

2200

N1

1600

N3

2000

N5

1230

Nt

2300

The velocity of sound (m/s)

Vd

3300

V1

3200

V3

4000

V5

2460

Vt

4600

Density (× 103 kg/m3)

Ρ

7.5

Curie’s temperature (℃)

Tc

300