Analytical investigations into dynamic properties of glued-laminated beams reinforced with various lay ups of e-glass reinforced epoxy polymer composites are discussed. The exp-function method is used to obtain generalized solitonary solutions and periodic solutions for nonlinear evolution equations arising in mathematical physics using symbolic computation. By using this method, natural frequency and dynamic responses of the wood-composite beams are obtained. The existing data obtained from our published work, the grindosonic instrument, and also the data from the beams tested using the power spectral density method is used for validity of analytical method. The data from finite element method as a numerical method was also employed. The comparison indicated that the proposed exp-function method could be effectively used to establish the natural frequency and dynamic properties of glulam reinforced composite beams when conducted in nonlinear equation forms.