Description PZT-5A PZT-4 PZT-5A PZT-5H PZT-8

r 7750 5550 7500 7750 7500 7600

-1.71E-10 m/V -5.80E-11 -1.23E-10 -1.71E-10 -2.74E-10 -9.70E-11

3.74E-10 m/V 1.49E-10 2.89E-10 3.74E-10 5.93E-10 2.25E-10

5.84E-10 m/V 2.42E-10 4.96E-10 5.84E-10 7.41E-10 3.30E-10

1.64E-11 8.60E-12 1.23E-11 1.64E-11 1.65E-11 1.15E-11

1.88E-11 9.10E-12 1.55E-11 1.88E-11 2.07E-11 1.35E-11

-5.74E-12 -2.60E-12 -4.05E-12 -5.74E-12 -4.78E-12 -3.70E-12

-7.22E-12 -2.70E-12 -5.31E-12 -7.22E-12 -8.45E-12 -4.80E-12

4.75E-11 2.22E-11 3.90E-11 4.75E-11 4.35E-11 3.19E-11

4.43E-11 (leave blank if none) 2.24E-11 3.27E-11 4.428E-11 4.256E-11 3.04E-11

1730 (unitless) 1300 1475 1730 3130 1290

1700 (unitless) 1200 1300 1700 3400 1000

Material # 8 8 8 8 8 8

8.85E-12 F/m 8.85E-12 8.85E-12 8.85E-12 8.85E-12 8.85E-12

-5.3512

15.7835

12.2947

1.20E+11

1.11E+11

7.52E+10

7.51E+10

2.11E+10

2.26E+10

BaTi03

kg/m3

d31

d33

d15

sE11 m s2/kg

sE33 m s2/kg

sE12 m s2/kg

sE13 m s2/kg

sE44 m s2/kg

sE66 m s2/kg

KT11 eS

11/eo

KT33 eS

33/eo

eo

E1 N/m2

E3 N/m2

e31

e33

e15

cE11

cE33

cE12

cE13

cE44

cE66

/com PZT-5A X-polarized/com StiffnessTB ANEL 1 1 0TBDATA 1 1.1087E+11 7.5090E+10 7.5090E+10TBDATA 7 1.2035E+11 7.5179E+10TBDATA 12 1.2035E+11TBDATA 16 2.1053E+10TBDATA 19 2.2584E+10TBDATA 21 2.1053E+10/com PiezoTB PIEZ 1TBDATA 1 15.7835TBDATA 4 -5.3512TBDATA 7 -5.3512TBDATA 11 12.2947TBDATA 18 12.2947/com PermittivityEMUNIT EPZRO 8.85E-12MP PERX 1 826MP PERY 1 919MP PERZ 1 919/com DensityMP DENS 1 7750

X-polarized 방향에 붙는 피에조 물성치 log 명령어(값 사이에 쉼표 넣어줄것)

/com PZT-8 -X -polarized/com StiffnessTB ANEL 2 1 0TBDATA 1 1.1087E+11 7.5090E+10 7.5090E+10TBDATA 7 1.2035E+11 7.5179E+10TBDATA 12 1.2035E+11TBDATA 16 2.1053E+10TBDATA 19 2.2584E+10TBDATA 21 2.1053E+10/com PiezoTB PIEZ 2TBDATA 1 -15.7835TBDATA 4 5.3512TBDATA 7 5.3512TBDATA 11 -12.2947TBDATA 18 -12.2947/com PermittivityEMUNIT EPZRO 8.85E-12MP PERX 2 826MP PERY 2 919MP PERZ 2 919/com DensityMP DENS 2 7750

-X-polarized 방향에 붙는 피에조 물성치 log 명령어(값 사이에 쉼표 넣어줄것)

/com PZT-5A Y-polarized/com StiffnessTB ANEL 8 1 0TBDATA 1 1.2035E+11 7.5090E+10 7.5179E+10TBDATA 7 1.1087E+11 7.5090E+10TBDATA 12 1.2035E+11TBDATA 16 2.1053E+10TBDATA 19 2.1053E+10TBDATA 21 2.2584E+10/com PiezoTB PIEZ 8TBDATA 2 -5.3512TBDATA 5 15.7835TBDATA 8 -5.3512TBDATA 10 12.2947TBDATA 15 12.2947/com PermittivityEMUNIT EPZRO 8.85E-12MP PERX 8 919MP PERY 8 826MP PERZ 8 919/com DensityMP DENS 8 7750

Y-polarized 방향에 붙는 피에조 물성치 log 명령어(값 사이에 쉼표 넣어줄것)

/com PZT-5A Y-polarized/com StiffnessTB ANEL 8 1 0TBDATA 1 1.2035E+11 7.5090E+10 7.5179E+10TBDATA 7 1.1087E+11 7.5090E+10TBDATA 12 1.2035E+11TBDATA 16 2.1053E+10TBDATA 19 2.1053E+10TBDATA 21 2.2584E+10/com PiezoTB PIEZ 8TBDATA 2 5.3512TBDATA 5 -15.7835TBDATA 8 5.3512TBDATA 10 -12.2947TBDATA 15 -12.2947/com PermittivityEMUNIT EPZRO 8.85E-12MP PERX 8 919MP PERY 8 826MP PERZ 8 919/com DensityMP DENS 8 7750

-Y-polarized 방향에 붙는 피에조 물성치 log 명령어(값 사이에 쉼표 넣어줄것)

/com PZT-5A Z-polarized/com StiffnessTB ANEL 8 1 0TBDATA 1 1.2035E+11 7.5179E+10 7.5090E+10TBDATA 7 1.2035E+11 7.5090E+10TBDATA 12 1.1087E+11TBDATA 16 2.2584E+10TBDATA 19 2.1053E+10TBDATA 21 2.1053E+10/com PiezoTB PIEZ 8TBDATA 3 -5.3512TBDATA 6 -5.3512TBDATA 9 15.7835TBDATA 14 12.2947TBDATA 16 12.2947/com PermittivityEMUNIT EPZRO 8.85E-12MP PERX 8 919MP PERY 8 919MP PERZ 8 826/com DensityMP DENS 8 7750

Z-polarized 방향에 붙는 피에조 물성치 log 명령어(값 사이에 쉼표 넣어줄것)

/com PZT-5A Z-polarized/com StiffnessTB ANEL 8 1 0TBDATA 1 1.2035E+11 7.5179E+10 7.5090E+10TBDATA 7 1.2035E+11 7.5090E+10TBDATA 12 1.1087E+11TBDATA 16 2.2584E+10TBDATA 19 2.1053E+10TBDATA 21 2.1053E+10/com PiezoTB PIEZ 8TBDATA 3 5.3512TBDATA 6 5.3512TBDATA 9 -15.7835TBDATA 14 -12.2947TBDATA 16 -12.2947/com PermittivityEMUNIT EPZRO 8.85E-12MP PERX 8 919MP PERY 8 919MP PERZ 8 826/com DensityMP DENS 8 7750

-Z-polarized 방향에 붙는 피에조 물성치 log 명령어(값 사이에 쉼표 넣어줄것)

Polarization in X-DirectionCompliance at Constant E field

1.88E-11 -7.22E-12 -7.22E-12 0 0 0 7 9

-7.22E-12 1.64E-11 -5.74E-12 0 0 0 6

-7.22E-12 -5.74E-12 1.64E-11 0 0 0

0 0 0 4.75E-11 0 0

0 0 0 0 4.43E-11 0

0 0 0 0 0 4.75E-11

Stiffness at Constant E field

1.11E+11 7.51E+10 7.51E+10 0 0 0 1.11E+11 7.51E+10

7.51E+10 1.20E+11 7.52E+10 0 0 0 7.51E+10 1.20E+11

7.51E+10 7.52E+10 1.20E+11 0 0 0 7.51E+10 7.52E+100 0 0 2.11E+10 0 00 0 0 0 2.26E+10 00 0 0 0 0 2.11E+10

Polarization in Y-DirectionCompliance at Constant E field

1.64E-11 -7.22E-12 -5.74E-12 0 0 0 6 9-7.22E-12 1.88E-11 -7.22E-12 0 0 0 7-5.74E-12 -7.22E-12 1.64E-11 0 0 0

0 0 0 4.75E-11 0 00 0 0 0 4.75E-11 00 0 0 0 0 4.43E-11

Stiffness at Constant E field1.20E+11 7.51E+10 7.52E+10 0 0 07.51E+10 1.11E+11 7.51E+10 0 0 07.52E+10 7.51E+10 1.20E+11 0 0 0

0 0 0 2.11E+10 0 00 0 0 0 2.11E+10 00 0 0 0 0 2.26E+10

Polarization in Z-DirectionCompliance at Constant E field

x_방향의 규칙성을 찾아서

z-paper의 내용을 참고로

1.64E-11 -5.74E-12 -7.22E-12 0 0 0 6 8-5.74E-12 1.64E-11 -7.22E-12 0 0 0 6-7.22E-12 -7.22E-12 1.88E-11 0 0 0

0 0 0 4.43E-11 0 00 0 0 0 4.75E-11 00 0 0 0 0 4.75E-11

Stiffness at Constant E field1.203E+11 7.518E+10 7.509E+10 0 0 07.518E+10 1.203E+11 7.509E+10 0 0 07.509E+10 7.509E+10 1.109E+11 0 0 0

0 0 0 2.26E+10 0 00 0 0 0 2.11E+10 00 0 0 0 0 2.11E+10

넘버링9 2 r 7750

8 3 -1.71E-10 m/V

6 4 3.74E-10 m/V

b10 5 5.84E-10 m/V

계산 6 1.64E-11

b10 7 1.88E-11

8 -5.74E-12

7.51E+10 9 -7.22E-12

7.52E+10 10 4.75E-11

1.20E+11 11 4.43E-112.11E+10

2.26E+102.11E+10

896

b10b10

계산

규칙성을 찾아서 구해봤어요.

kg/m3

d31

d33

d15

sE11 m s2/kg

sE33 m s2/kg

sE12 m s2/kg

sE13 m s2/kg

sE44 m s2/kg

sE66 m s2/kg

내용을 참고로 구해봤어요.(**참고 : www.csi_ansys.com)

997

계산b10

b10

Poling in X-Direction Poling in Y-Direction Poling in Z-Directiond matrix, strain/Efield d matrix, strain/Efield d matrix, strain/Efield

3.74E-10 0 0 0 -1.71E-10 0 0 0 -1.71E-10-1.71E-10 0 0 0 3.74E-10 0 0 0 -1.71E-10-1.71E-10 0 0 0 -1.71E-10 0 0 0 3.74E-10

0 5.84E-10 0 5.84E-10 0 0 0 0 00 0 0 0 0 5.84E-10 0 5.84E-10 00 0 5.84E-10 0 0 0 5.84E-10 0 0

e matrix, stress/Efield e matrix, stress/Efield e matrix, stress/Efield15.783474 0 0 0 -5.351155 0 0 0 -5.351155-5.351155 0 0 0 15.78347 0 0 0 -5.351155-5.351155 0 0 0 -5.351155 0 0 0 15.78347

0 12.29474 0 12.29474 0 0 0 0 00 0 0 0 0 12.29474 0 12.29474 00 0 12.29474 0 0 0 12.29474 0 0

Polarization in X-Direction Polarization in Y-Direction Polarization in Z-directionPermittivity at Constant Stress Permittivity at Constant Stress Permittivity at Constant Stress

1.53E-08 0 0 1.53E-08 0 0 1.53E-08 00 1.50E-08 0 0 1.50E-08 0 0 1.53E-080 0 1.50E-08 0 0 1.53E-08 0 0

Permittivity at Constant Strain Permittivity at Constant Strain Permittivity at Constant Strain7.577385E-09 0 0 8.130374E-09 0 0 8.1303737E-09 0

0 7.864874E-09 0 0 7.311885E-09 0 0 8.1303737E-090 0 7.864874E-09 0 0 8.130374E-09 0 0

00

1.50E-08

00

7.3118855E-09