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his article introduces a new approach for performing preliminary assessment for seismic damages and their severity by tracking the Fundamental Frequency of Damage (FFoD). Conventional damage assessment approaches monitor the global-behavior of the structure to capture anomalous structural responses. This requires for the damage to be severe enough to affect the overall structure behavior. The approach introduced in this article shifts from monitoring global structure, to monitoring the dynamic characteristics of the damage, namely the Fundamental Frequency of Damage (FFoD). The presence of structural damage will create a high-frequency oscillation, which characterizes the damage. FFoD is the frequency is of this oscillation. Identifying this oscillation is the recorded vibration is quite challenging since it often has low amplitude. To overcome this issue, the authors will utilize a new filtering technique that is capable of amplifying feeble signals by using rather than suppressing the noise, namely Underdamped Pinning Stochastic Resonance. With this filter, the signal is monitored at the FFoD to identify whether the damage present or not. A case study for a seismic moment frame is presented in this article.