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

(56)

$\frac{z_j{J}_0(z_j)}{J_1(z_j)}=(1-\nu ),j=1,2,3,\dots$ (57)

(57)

$z=(\gamma a)=\mathrm{2}.0\mathrm{67364},5.\mathrm{395106},8.575401,11.734360\dots$ (58)

(58)

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

${\int }_0^a{U}_p(r)U_q(r)rdr=\frac{a^2}{2}{\delta }_{pq}$ (59)

(59)

The modal excitation $f_j$ is given ...