“…Finite element (FE) method is the most reported approach in vibration analysis of the MR/ER sandwich structures (Allahverdizadeh et al, 2012(Allahverdizadeh et al, , 2013a(Allahverdizadeh et al, , 2013c(Allahverdizadeh et al, , 2014Bishay et al, 2010;Hirunyapruk et al, 2010;Lee, 1995;Mohanty, 2013;Nayak et al, 2012b;Rajamohan et al, 2010aRajamohan et al, , 2010bRajamohan et al, , 2010cRajamohan et al, , 2013Rezaeepazhand and Pahlavan, 2008a;Wei et al, 2011;Zhou et al, 2006). This method employs potential and kinetic energy of the structures and represents the governing equations of motion in a matrix form as follows…”