## 1 Introduction
[16] was the comparative study of the seismic behavior of knee-braced frames having either steel or NiTi buckling-restrained braces (BRBs). It was found that NiTi braces are advantageous over steel ones since they are capable of eliminating residual drift and hence possess a higher seismic resilience. Moreover, [PERSON] and collaborators [17] extended in the same year the previous work by analyzing multi-story steel frames with iron-based SMA BRBs (FeSMA) incorporated. The authors concluded (once more) that this type of BRBs controls in a better manner than the steel ones' residual inter-story drift ratios. [PERSON] and [PERSON] [18] conducted finite element analysis in a three-bay portal frame with and without braced systems by performing nonlinear static analysis, considering different configurations of bracings with SMAs. The results showed that using SMAs can improve seismic performance in steel frames by dissipating energy and reducing stresses. [PERSON] and [PERSON] [19] studied the seismic topology optimization of steel-braced frames with SMA NiTi or Fe-based braces. An optimization algorithm was implemented to optimize SMA-BFs in a performance-based context following ASCE 41-13. The optimization study found eight optimal SMA-BFs with either NiTi or Fe-based braces. Incremental dynamic analysis was performed on the optimal frames to extract fragility curves. The results demonstrated that Fe-based SMA braces exhibited higher collapse capacity and a more uniform distribution of lateral displacement over the frame height while being more cost-effective than NiTi SMAs and reducing material usage. In frames with Fe-based SMA braces, the material usage was reduced up to 80%. Within the above context, the scope of the present work is to evaluate the efficiency and highlight the potential of X-based SMA configurations incorporated in the special segment of multi-story special truss moment frames (STMFs) considering five different dimensioning cases, as innovative high-performance materials for vibration control exhibiting the superelastic effect through which their initial geometry can be recovered after mechanical distortion by unloading through the phase transformation (martensitic-austenitic phase). The initial energy dissipation mechanism of STMFs, which consisted of the formation of four plastic hinges in a special segment located in the middle of the truss, is replaced with the input energy dissipation through the SMA deformation in a pin-ended special segment. Nonlinear dynamic time history analysis is conducted, applying finite element methodology under selected ground motions, and the proposed schemes are compared in terms of maximum displacement and maximum inter-story drifts with the ones of the conventional frame. Two design approaches are proposed, the one based on the distribution of the SMAs according to the performance-based calculation findings (different diameters on each floor) and the alternative one on the same diameter (three cases) on each floor. It was found that both approaches contain a certain amount of effectiveness, depending on the case considered and the seismic event. The whole subject is still open, but the use of SMAs is indeed encouraging.