Finite element analysis validations of the analytical model for the first-order vibration mode: (a) transverse vibrational displacement as a function of position, (b) the nondimensional half-band width $ξ̂$ as a function of the compressive strain $εcompre$⁠, and (c) a comparison of the nondimensional velocity responses of the buckled ribbon with and without the viscoelastic damping effect