Based on the Euler-Bernoulli beam model and the viscoelastic foundation model,it is explained that the effective flexural stiffness of the bimodular beam on the viscoelastic foundation is unchanged dur-ing the vibration,and the governing equation of the bimodular beam on the foundation when the neutral layer is inside the beam is derived.Using the absence of sudden changes in displacement and velocity during the transition of the neutral layer,the governing equation is solved by the time-domain differential quadrature method,and the influence of linear stiffness,shear parameters and bimodular characteristics on the forced vibration of simply support bimodular beams is discussed respectively.Finally,the larger the two parameters of the foundation are,the shorter the time for the forced vibration to reach stability will be.The larger the dual-modulus ratio is,the smaller the forced vibration amplitude will be.
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