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一种圆锥形变幅杆弯曲振动固有频率的计算方法
引用本文:严日明,刘德福,陈涛,佘亦曦.一种圆锥形变幅杆弯曲振动固有频率的计算方法[J].振动与冲击,2016,35(7):198-204.
作者姓名:严日明  刘德福  陈涛  佘亦曦
作者单位:1.中南大学机电工程学院,长沙,410083
2. 高性能复杂制造国家重点实验室,长沙,410083
摘    要:提出了一种圆锥形变幅杆弯曲振动固有频率的计算方法。先忽略剪切变形和惯性矩作用,基于Euler-Bernoulli杆理论求解出固有频率初值,再计入二者的作用进行弯曲振动固有频率的修正。应用有限元分析法和模态实验测试对该方法进行了验证,理论结果与实验结果相吻合,误差在5%以内。基于该方法编写了程序,实现了弯曲振动变幅杆结构的主动设计。

关 键 词:圆锥形变幅杆  超声弯曲振动  固有频率  

A calculation method of flexural vibration frequency for conical horn
YAN Ri-ming,LIU De-fu,CHEN Tao,SHE Yi-xi.A calculation method of flexural vibration frequency for conical horn[J].Journal of Vibration and Shock,2016,35(7):198-204.
Authors:YAN Ri-ming  LIU De-fu  CHEN Tao  SHE Yi-xi
Affiliation:1. College of Mechanical and Electrical Engineering, CSU, Changsha 410083, China; 2. State Key Laboratory of high performance complex manufacturing, Changsha 410083, China
Abstract:A method for the calculation of the flexural vibration frequency for conical horn is presented. Firstly, the initial flexural frequency values ignoring the effects of shear deformation and moment of inertia can be obtained based on the Euler-Bernoulli bar theory, and then the flexural vibration frequency is corrected including both of the effects. The FEM and the modal test show that the results obtained from the computing method agree the experimental results very well within 5% error. Besides, actively design of flexural vibration horn is achieved through the program based on the novel method.
Keywords:conical horn                                                      ultrasonic flexural vibration                                                      natural frequency
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