In structural health monitoring, damage localization enables the early identification of potential issues in structures before they escalate into more serious and costly problems. By accurately pinpointing the location of damage, engineers can intervene promptly, potentially preventing catastrophic failures and extending the lifespan of the structure. This study conducts a numerical analysis to compare the effectiveness of three existing methods for localizing structural damage in a shear building, taking into account soil-structure interaction (SSI). The methodologies utilized in this study examine alterations in the curvature of frequency response shape (FRS) to detect damage in structures, comparing undamaged and damaged states. One such method, which was established in prior research, employs calculus as opposed to finite difference approximations for the assessment of the curvature of the FRS. The numerical experiment considers hybrid damping mechanisms for the SSI system and various test conditions, including different damage locations and severities. The normalized indicator based on prior work was found to accurately localize damage and perform significantly better than the other methods across various test conditions. This study also reveals that the effects of SSI substantially contribute to the localization of damage in building structures.