Abstract: To solve the theoretical calculation problem of the resonant tuning fork with the
consideration of axial force and additional quality, three theoretical models of the resonant tuning
fork are deduced. These three models are proposed by using Rayleigh law and the law of
conservation of energy with the consideration of the following three cases: the axial force, the
additional quality, both the axial force and the additional quality. On this basis, the finite element
simulation method is used to verify the correctness of these theoretical models. A number of
simulation results show that the relative error between calculation results and simulation results
are less than 1%, which proves that the theoretical calculation is correct.

Key words: resonant tuning fork, additional quality, axial force, theoretical model, the finite
element simulation method