For the experiment of free vibration ,the relationship between the amplitude θ of balance wheel and the natural period To can be expressed as θ＝ 10429－6525Ｔ0 according to the linear fitting function of Origin software,which can provide a clear reference for the analysis of subsequent experimental images. The experimental data of damping vibration and amplitude-frequency characteristic were processed by using the successive differential method and the graphic method respectively,and the obtained damping coefficients β are 0.0594 s-1 and 0.0610s-1.As for the forced vibration. the fitting results of amplitude-and phase-freouencr characteristic curves show that the resonance occurs when the motor frequency w is equal to the intrinsic frequency wn of balance wheel. the amplitude θr reaches 144°.and the phase difference (φ) between the balance wheel and the external force is just m/2.which well confirms the relevant rules of physical experiments.The resonant circular frequency can be calculated as w = 3.985 9 s by analyzing the characteristic parameters at resonance,and the relative error between w, and w(3.986 8 s)is only 0.023%, indicating that the graphical method is very successful in the quantitative analysis and calculation of the experimental data of forced vibration.