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Shape memory alloys (SMA) can regain their original shape upon unloading, making them an excellent option for self-centering dampers due to their unique mechanical features, such as super elasticity and shape memory effect. Furthermore, SMA wire dampers exhibit consistent energy dissipation properties, allowing them to distribute a precise amount of energy effectively during seismic events. This paper presents a novel configuration of an SMA wire damper that is easy to install in the structure. In this research, we assess the effectiveness of SMA wire dampers in mitigating seismic responses of asymmetric single-story frames subjected to a range of far-field and near-field earthquake ground motions. The investigation explores the lateral and angular displacements, acceleration, base shear, and stiff and flexible edge displacements concerning eccentricity ratio, lateral period, and uncoupled torsional to lateral frequency ratio. We use Taguchi's design of experiments (DOE) to analyse how different parameters impact the performance of SMA dampers in the structure. The results showed a significant enhancement in the seismic resilience of the structures with the implementation of SMAs wire dampers. These dampers effectively reduced the peak structural reaction by 13 %. Despite changes in eccentricity and frequency ratios, the root mean square (RMS) response ratio of the controlled and uncontrolled structure with the SMA damper is constantly below one, proving its efficacy. • These optimised combinations can help design the control device and structure. • Taguchi method for DOE and finding the most efficient SMA wire damper structural parameter. • SMA dampers reduce earthquake RMS response by 25%. • The equation was proposed for the complicated structural response-influence input variable relationship. • The RMS response ratio of the controlled and uncontrolled structure with the SMA damper remains below one. [ABSTRACT FROM AUTHOR]