“…Many studies have estimated natural frequencies from acceleration responses obtained using numerical models [ 15 ] as well as bridge field measurements in a form of free vibration [ 16 ], forced vibration [ 14 , 17 ], or ambient vibration [ 18 ]. The natural frequencies are considered as some of the key damage detection features for these studies and have provided reasonable results for the detection of both local [ 19 , 20 ] and global damage [ 11 , 21 , 22 , 23 ]. Although, natural frequencies are not considered to be ideal, because of their low-sensitivity to damage [ 3 , 24 ], changes in the natural frequencies and modal properties have been used to detect scour damage in multiple span structures [ 5 , 11 , 25 , 26 ] and longer span bridges [ 27 ].…”