Abstract: On the basis of the hypotheses of the Karman theory for elastic thin plates and the Boltzmann laws for linear isotropic viscoelastic materials, the constitutive equations for viscoelasticthin plates airs derived by using the "structure function" introduced in this paper. The initialboundary value problem of nonlinear dynamical analysis for viscoelastic thin plates is formulatedby using the procedure that is similar to the process deriving the Karman theory for elastic thinplates. If Poisson ration v of a ma...