Abstract
The electric impedance of symmetrically surface-bonded piezoelectric sensors on a crackedbeam is studied. To investigate the effect of the crack on the electric impedance in aconvenient fashion, an analytical expression is derived that is correlated to the physicalparameters of the crack and the host beam. The beam segment covered with piezoelectricpatches and the cracked region are regarded as a bimorph segment and an equivalentspring, respectively, and the entire beam system is then represented by threeelastic beam segments and a bimorph segment together with the spring. Electricimpedance experiments are also conducted for uncracked beams and for crackedbeams with single-edge or double-edge cracks. The experimental results agree withthose generated by the analytical expression. The crack depth has little effecton the corresponding mode frequency for cracks located at the mode node of abeam. For cracks located away from the mode node, the corresponding modefrequency decreases as the crack depth increases. Moreover, the closer the crack tothe anti-node of the mode, the greater the decrease in the corresponding modefrequency. The mechanism of these changes is discussed. The findings shouldprove helpful for structural health monitoring using active piezoelectric sensors.
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