In this paper, the problem of nonlinear viscoelastic rectangular thin plate subjected to tangential follower force is examined. The nonlinear strain-displacement relation is used to express non-linearity. After obtaining the equilibrium equation of the system in Laplace domain and performing the Laplace inverse transformation, the nonlinear differential equation of plate constituted by Kelvin-Voigt model and subjected to tangential follower force in time domain is obtained. Multi-scales method is firstly used to solve the governing equation, and the influence of the initial amplitude on the nonlinear frequency ratio is studied. Secondly, the differential quadrature method (DQM) is employed to confirm the obtained results. and Obsahuje seznam literatury