Based on the model of beams subjected to a moving oscillator, the timeverifying coupling dynamic functions with appended matrixes and vectors were deducted, which were then transferred to a system of secondorder differential equations for numerical solving. The method had been proved to be equivalent to the present methods by comparing with the results of the moving force model and the moving mass model. Meanwhile, the dynamic coefficients of deflection, bending moment and shearing force on the beam were analyzed.