采用复合贝塞尔曲线的超声变幅杆优化设计
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摘要
针对目前超声变幅杆应力集中、振幅放大系数较小的现象,采用两条贝塞尔曲线连接作为超声变幅杆母线形状,设计了一种应力分布均匀、振幅放大系数大的新型超声变幅杆,并利用有限元软件优化模块优化变幅杆形状。为了直观显示优化前后变幅杆性能变化,通过有限元分析方法对优化前后变幅杆进行模态分析及谐响应分析,并将优化后的变幅杆与相同长度、相同大小端面直径的普通圆锥型变幅杆性能进行对比。结果显示,优化变幅杆相比,优化后的变幅杆纵振频率为20.011k Hz,振幅放大系数提高了16.68%、最大应力降低49.76%;优化后的变幅杆振幅放大系数是普通圆锥型变幅杆的6.5倍。变幅杆性能得到很大提升。
Considering the phenomenon that the stress concentration of the ultrasonic horn and the amplitude amplification factor of the ultrasonic horn are relatively small,a curve connected with two Bezier curves is used as the shape of the ultrasonic horn,and a novel ultrasonic horn with uniform stress distribution and large amplitude amplification factor is designed.Then we optimized the horn shape using the optimization module of finite element software.In order to visually display the performance changes of the horn before and after optimization,FEM(Finite Element Method) was used to perform modal analysis and harmonic response analysis on the horn before and after optimization.We then compare the performance of the optimized horn with that of the ordinary conical horn with the same length and end face diameter.The results show that comparing with the unoptimized horn,the longitudinal vibration frequency of the optimized horn is 20.011 k Hz,that the amplitude amplification factor after optimization is increased by 16.68%,that the maximum stress of the optimized horn is reduced by 49.76%,and that the amplitude amplification factor of the optimized horn is 6.5 times of the ordinary conical horn.The horn performance has been greatly improved.
Considering the phenomenon that the stress concentration of the ultrasonic horn and the amplitude amplification factor of the ultrasonic horn are relatively small,a curve connected with two Bezier curves is used as the shape of the ultrasonic horn,and a novel ultrasonic horn with uniform stress distribution and large amplitude amplification factor is designed.Then we optimized the horn shape using the optimization module of finite element software.In order to visually display the performance changes of the horn before and after optimization,FEM(Finite Element Method) was used to perform modal analysis and harmonic response analysis on the horn before and after optimization.We then compare the performance of the optimized horn with that of the ordinary conical horn with the same length and end face diameter.The results show that comparing with the unoptimized horn,the longitudinal vibration frequency of the optimized horn is 20.011 k Hz,that the amplitude amplification factor after optimization is increased by 16.68%,that the maximum stress of the optimized horn is reduced by 49.76%,and that the amplitude amplification factor of the optimized horn is 6.5 times of the ordinary conical horn.The horn performance has been greatly improved.
引文
[1]曾凡冲.超声换能器的设计理论研究[D].北京:北方工业大学,2013.
[2]贺西平,高洁.超声变幅杆设计方法研究[J].声学技术,2006,25(1):82-86.
[3]许国峰,沈学会.1/2波长圆锥过渡复合超声变幅杆优化设计[J].工具技术,2018,52(04):59-61.
[4]武婷婷,贺西平,汪彦军,等.多台阶过渡段阶梯型变幅杆的设计[J].陕西师范大学学报:自然科学版,2018(1):62-66.
[5]Wang D A,Chuang W Y,Hsu K,et al.Design of a Bézier-profile horn for high displacement amplification[J].Ultrasonics,2011,51(2):148-156.
[6]朱东伟,毛晓波,陈铁军.基于改进粒子群三次Bezier曲线优化的路径规划[J].计算机应用研究,2012,29(5):1710-1712.
[7]林仲茂.超声变幅杆的原理和设计[M].北京:科学出版社,1987.
[8]莫喜平.新型弯张换能器的研究与设计[D].哈尔滨:哈尔滨工程大学,1998.
[9]何涛,陈锡侯.指数形超声变幅杆放大理论分析[J].重庆理工大学学报:自然科学版,2017,31(06):90-94.
[10]Wang H,Sun C.Finite Element Analysis and Test of an Ultrasonic Compound Horn[J].World Journal of Engineering&Technology,2017,05(3):351-357.
[2]贺西平,高洁.超声变幅杆设计方法研究[J].声学技术,2006,25(1):82-86.
[3]许国峰,沈学会.1/2波长圆锥过渡复合超声变幅杆优化设计[J].工具技术,2018,52(04):59-61.
[4]武婷婷,贺西平,汪彦军,等.多台阶过渡段阶梯型变幅杆的设计[J].陕西师范大学学报:自然科学版,2018(1):62-66.
[5]Wang D A,Chuang W Y,Hsu K,et al.Design of a Bézier-profile horn for high displacement amplification[J].Ultrasonics,2011,51(2):148-156.
[6]朱东伟,毛晓波,陈铁军.基于改进粒子群三次Bezier曲线优化的路径规划[J].计算机应用研究,2012,29(5):1710-1712.
[7]林仲茂.超声变幅杆的原理和设计[M].北京:科学出版社,1987.
[8]莫喜平.新型弯张换能器的研究与设计[D].哈尔滨:哈尔滨工程大学,1998.
[9]何涛,陈锡侯.指数形超声变幅杆放大理论分析[J].重庆理工大学学报:自然科学版,2017,31(06):90-94.
[10]Wang H,Sun C.Finite Element Analysis and Test of an Ultrasonic Compound Horn[J].World Journal of Engineering&Technology,2017,05(3):351-357.