考虑轴向力及附加质量的谐振音叉建模及仿真

图学学报

考虑轴向力及附加质量的谐振音叉建模及仿真

出版日期:2012-08-31 发布日期:2015-07-28

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

Online:2012-08-31 Published:2015-07-28

摘要/Abstract

摘要： ：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。

关键词: 谐振音叉, 附加质量, 轴向力, 理论模型, 有限元仿真

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

郭占社，宋春苗，郑仕学. 考虑轴向力及附加质量的谐振音叉建模及仿真[J]. 图学学报.

Gou Zhanshe, Song Chunmiao, Zheng Shixue. Modeling and simulation of the resonant tuning fork with the consideration of additional quality and axial force[J]. Journal of Graphics.