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Structural Health Monitoring with Piezoelectric Wafer Active Sensors, 2nd Edition by Victor Giurgiutiu

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image (82)

11.4.2.2 Antisymmetric Solution

Subtraction of the σyyimage equations, i.e., Eq. (74)Eq. (75), and addition of the σxyimage equations, i.e., Eq. (76)+Eq. (77), yields

A1(ξ2ηS2)sinηPdB22ξηSsinηSd=0A12ξηPcosηPd+B2(ξ2ηS2)cosηSd=τ˜2iμ(antisymmetricmotion) (83)

image (83)

In matrix notations, we write

[(ξ2ηS2)sinηPd2ξηSsinηSd2ξηPcosηPd(ξ2ηS2)cosηSd

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