| Vibration Mode |
Dimensions L-Length W-Width T-Thickness D-Diameter |
Constants to be calculated | |
| Piezoelectric |
Mechanical | ||
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| Transverse Length Mode |  T, W > L/3 |
k31, d31, g31, ε33T | s11 D, s11E, Q31 |
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| Radial Mode |  D > 5T |
kp, ε33 s, ε33T | σE, s12E, Qp |
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| Thickness Extension Mode |  D>> T |
Kt, ε33 s | c33 D, c33 E, s13E Qt |
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| Longitudinal Length Mode |  D > L/5 |
k33, d33, g33, ε33T | s33 D, s33E, Q33 |
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| Thickness Shear Mode |  L, W > 8T |
k15, d15, g15, ε11T, ε11s | c55 D, s55 D, s55E Q15 |
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