自然科学版
陕西师范大学学报(自然科学版)
物理学
变幅杆斜槽参数对纵弯振动系统的影响
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段鹏, 焦锋*, 赵波, 牛赢
(河南理工大学 机械与动力工程学院, 河南 焦作 454000)
焦锋,男,教授,博士生导师。E-mail:jiaofeng@hpu.edu.cn
摘要:
为了实现超精密切削,设计了二维纵弯超声振动系统中变幅杆的结构。通过分析开斜槽变幅杆的结构,理论上揭示了斜槽位置d、斜槽倾斜角α、斜槽长度l和斜槽间距h对变幅杆的谐振频率和纵弯两个方向振幅的影响规律。采用有限元动态数值模拟分析,得到不同斜槽参数情况下的谐振频率、振幅。发现随着α、l逐渐增大,模态频率呈现整体下降趋势,当α=45°时,弯曲振幅最大。在d=15 mm附近,振幅值最小,并且随h变大,振幅变小。利用正交参数的极差分析法得到斜槽各参数对谐振频率和振幅影响力度的主次。进一步通过实验,发现了随着α、h逐渐增大,谐振频率整体下降,且振幅随h的增大而减小。实验结果表明α通过对振幅的影响进而实现对切削力的控制,这与理论分析结果一致。
关键词:
变幅杆;斜槽参数;谐振频率;纵弯振幅
收稿日期:
2015-12-28
中图分类号:
TP273;TB552;O242.21
文献标识码:
A
文章编号:
1672-4291(2016)04-0049-07doi:10.15983/j.cnki.jsnu.2016.04.246
基金项目:
国家自然科学基金(51075127)
Doi:
Influence of parameters of the chute on longitudinal-flexural vibration system
DUAN Peng, JIAO Feng*, ZHAO Bo, NIU Ying
(School of Mechanical and Power Engineering, Henan Polytechnic University, Jiaozuo 454000, Henan, China)
Abstract:
In order to realize ultraprecision cutting, the amplitude amplifier horn structure of longitudinal-flexural vibration system is designed. By analysis of the horn structure, the influence rule of location (d), angle of inclination(α), length (l) and spacing (h) of chutes on the resonance frequency of the horn and the amplitude of the longitudinal-flexural vibration were revealed theoretically. Under different parameters of chutes, the resonance frequency,amplitude, and rule that modal frequencies are obtained.The results show that with α and l increased gradually, bending amplitude was maximum when α=45° and amplitude value was minimum in the vicinity of d=15 mm.As chute spacing h became larger, the amplitude became smaller were achieved by means of FEA method.The primary and secondary influence of chute parameters on resonance frequency and amplitude was obtained by range analysis of orthogonal parameters. Through experiments, it was discovered that with α and h increased gradually, resonant frequency overall declined.As h increased, amplitude became smaller, and cutting force was changed through influence of α on amplitude. The results of experiments are consistent with the theoretical analysis.
KeyWords:
amplitude amplifier horn; chute parameters; resonance frequency; amplitude of longitudinal-flexural vibration