考虑轴向力及附加质量的谐振音叉建模及仿真

为解决考虑轴向力及附件质量的谐振音叉理论计算问题,在对没有考虑附加质量及轴向力的音叉理论模型进行分析的基础上,采用瑞利法和能量守恒定律,分别对考虑轴向力,考虑附加质量及同时考虑轴向力及附加质量3种情况下谐振音叉的理论模型进行了推导。在此基础上,采用有限元仿真的方法,对上述几种情况的理论模型的正确性进行了验证,多个仿真结果表明,理论计算结果与仿真结果之间的相对误差小于1%,说明了理论模型的正确性。

Modeling and simulation of the resonant tuning fork with the consideration of additional quality and axial force

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.