Abstract:The viscoelastic materials are used widely with thedevelopment of new materials, and the nonlinear dynamic behavior inviscoelastic composite structure is becoming increasingly outstanding andimportant. The main purpose of this paper is a study of some nonlineardynamic problems of viscoelastic composite structure under parametricexcitation by using the experimental modeling method. The dynamic modelingmethod based on the theory analysis increases the difficulty on account ofthe complexity of the constitutive relation of viscoelastic materials. So itis one of the important means in the construction of dynamic model tocombine theory with experiment. The establishment of the experimental modelcorresponding to the theoretical model and the related identification theoryof nonlinearity system must be considered in the experimental modeling.A series of composite material samples are synthesized by using ABS(acrylonitrile-bu- tadine-styrene copolymer) resin as basic material andadding rutile nanoscaled titania from 1% to 10% as reinforcedmaterial. The experiment platform of the nonlinear parametric excitationvibration system is set up. The vibration is investigated for thenanocomposites beam with one end pinned and the other movable support, whenaxial excitation and controlled Drp-frictional forces are applied. By takingthe experimental modeling method and applying to the Incremental HarmonicBalance Nonlinearity Identification, the dynamical equation of theviscoelastic composite beam is then built. Based on numerical simulation,comparisons between theoretical model and experimental system show goodagreement in qualitative and quantitative analysis. The theoretical model isapplicable for a class of composite materials with different weight ratiosof reinforced material and matrix.