“…Earthquake time histories in extended fields or engineering show evident spatial phase variations. These variations can influence the dynamic response of extended structures, such as bridges, via non-uniform excitation of supports (Dumanogluid & Soyluk, 2003;Soyluk, 2004;Bilici et al, 2009;Zhang et al, 2009;Li et al, 2009;Zhang et al, 2021;Rodda et al, 2022). Therefore, the simulation of ground motions containing spatial variations is important.…”