“…To provide real-time information on structural well being, structural health monitoring (SHM) has received much attention recently [ 23 , 24 , 25 ]. In practical engineering, the commonly used methods for detecting the cracks in the concrete include image-based methods [ 26 , 27 , 28 ], radar-based methods [ 29 , 30 ], ultrasonic [ 31 , 32 , 33 ], and impact echo (IE) [ 34 , 35 ], among others. In recent years, studies show that the lead zirconate titanate (PZT) has been applied in SHM [ 36 , 37 ] due to its superiorities of low cost, strong piezoelectric effect [ 38 , 39 ], sensing and actuation [ 40 , 41 ], wide bandwidth [ 42 , 43 ] and energy harvesting [ 44 , 45 ].…”