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

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image (402)

The homogeneous algebraic system (402) accepts nontrivial solutions only if its determinant has value zero, i.e.,

|sinγl+sinhγlcosγl+coshγlcosγl+coshγlsinγl+sinhγl|=0 (403)

image (403)

Expansion and simplification of Eq. (403) yields

cosγlcoshγl1=0 (404)

image (404)

Introduce the notation

z=γl (405)

image (405)

Substitution of Eq. (405) into Eq. ...

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