“…Numerous researchers have treated the linear and nonlinear analyses of beams on the elastic foundation having various support conditions. A detailed explanation of foundation models can be found in related references (Abouelregal and Zenkour, 2019c;Ansari et al, 2015;Avramidis and Morfidis, 2006;Cook, 1981;Dabiri et al, 2017;Eisenberger et al, 1987;Kameswara et al, 1975;Kerr, 1965;Moghaddam et al, 2019;Oskouie et al, 2017;Saadatnia et al, 2018;Wang, 1991;Yankelevsky and Eisenberger, 1986).…”