“…The phenomenon of dynamic instability or dynamic collapse is of principal concern in the field of earthquake and structural engineering (Jennings and Husid, 1968;Sun et al, 1973;Tanabashi et al, 1973;Bertero et al, 1978;Takizawa and Jennings, 1980;Bernal, 1987Bernal, , 1998Nakajima et al, 1990;Ger et al, 1993;Challa and Hall, 1994;Hall, 1998;Hjelmstad and Williamson, 1998;Uetani and Tagawa, 1998;Araki and Hjelmstad, 2000;Sasani and Bertero, 2000;Ibarra and Krawinkler, 2005;Adam and Jager, 2012). The theoretical investigations from the viewpoint of applied mechanics have also been conducted (Herrmann, 1965;Ishida and Morisako, 1985;Maier and Perego, 1992;Araki and Hjelmstad, 2000;Williamson and Hjelmstad, 2001).…”