measurement data and Mechanism analysis. However，there is few research on the simulation of forced vibration

process with this instrument. In this paper，we use the Mathematica software to edit the relevant simulation program

in order to gain the numerical simulation results and analytic solutions for the amplitude-frequency characteristics

and phase-frequency characteristics of forced vibration with Bohr resonator. Through the precious error analysis of

simulation results and instrument experimental results，the advantages and disadvantages of the two simulation algorithms

are discussed. In addition，we also use the Mathematica software to break through the function limitation of

Bohr resonator，under the current experimental conditions，in order to study the mechanical vibration law more

deeply and expand the application of the Mathematica software in experiment analysis.