MENG Yonghong, HE Xiping*, CUI Xiaojuan, WEI Xiangrun, WANG Hongyan
（School of Physics and Information Technology，Shaanxi Normal University，Shaanxi Key Laboratory of Ultrasonics， Xi′an 710119， Shaanxi, China)
Abstract:
In order to calculate the bending vibration frequency accurately， based on general solutions of Euler-Bernoulli equation, or only considering rotational inertia or only considering shear deformation and both considering Timoshenko′s equation, the frequencies of flexural vibration are calculates, as well as analyses using of a finite element software. According to the computed values and experimental ones, the error results are obtained and analyzed for each calculation method, and it proves that the theory of Timoshenko is better than other theories when calculating the bending vibration frequency of the horn, when the length of the step horn and the diameter ratio of the large end face are less than 5.
KeyWords:
stepped ultrasonic horn; flexural vibration; natural frequency; Timoshenko theory
