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

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image (56)

zjJ0(zj)J1(zj)=(1ν),j=1,2,3, (57)

image (57)

z=(γa)=2.067364,5.395106,8.575401,11.734360 (58)

image (58)
image
Figure 10.11 Axial modeshapes of free circular plate; k=number of nodal circles: (a) k=0; (b) k=5; (c)k=10.

The modeshapes of Eq. (55) satisfy the orthonormality relation

0aUp(r)Uq(r)rdr=a22δpq (59)

(59)

The modal excitation fj is given ...

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