PSI - Issue 78

Alfonso Ferdinando Coniglio et al. / Procedia Structural Integrity 78 (2026) 1389–1395 1391 the conventional one (5%) and the amplification factor 0 . If a conventional value of is considered, the input values for defining the spectra are , , 0, ∗ . To minimize the computational burden, starting from the value of seismic hazard in all the Italian territory, provided by MIT (2019, Appendix A), a regression of 0 and ∗ on is carried out as shown in Figure 2, reducing the input parameters to and .

Fig. 1. Typological modular building: (a) plant view; (b) lateral view of the bracing system. values are collected in the vector =( 1 , 2 ,…, 10 ), obtained by considering the intervals of MPS04 hazard map provided by National Institute of Geophysics and Vulcanology (2021), for the exceedance probability related to the Life Safety Limit State (SLV), which is the Limit State considered for the methodology development. Finally, the values of S are assumed as unique combination of the maximum values of the coefficients and , which are respectively function of the subsoils and topography categories where the building is potentially located, obtaining the vector = ( 1 , 2 ,…, 15 ). The vectors and scalars , , , 1 , 2 , ℎ, are then combined using unique combinations, this allows to obtain the vector = ( 1 , . . . , ) of dimension 1× , where = × × . Similarly, unique combinations are used for the vectors and , but in this case, their resulting values are also multiplied element-wise to compute the vector = ( 1 , . . . , 150 ) , where PGA (peak ground acceleration) is equal to × . A new vector of ordered pairs = ( , PGA) , called scenario vector, is then constructed by unique combinations of the elements of vectors and , thus, in each scenario, the characteristic of the modular building and the seismic action are defined by an ordered pairs contained in .

Fig. 2. (a) value of a g for the SLV in the MPS04; (b) regression of F 0 on a g ; (c) regression of T c * on a g .