文章摘要
付志强,林书玉.大尺寸余弦形超声变幅杆的设计[J].声学技术,2008,(5):765~768
大尺寸余弦形超声变幅杆的设计
Design of cosine type ultrasonic transformers
投稿时间:2007-11-12  修订日期:2008-02-17
DOI:
中文关键词: 大尺寸余弦变幅杆  共振频率  频率修正  模态分析
英文关键词: large dimension cosine transformer  resonance frequency  frequency modify  modal analysis
基金项目:国家自然科学基金项目(NO:10674090)
作者单位E-mail
付志强 陕西师范大学应用声学所, 西安, 710062 fuzhi2004@sina.com 
林书玉 陕西师范大学应用声学所, 西安, 710062  
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中文摘要:
      通过瑞利的近似理论假设,对大尺寸的余弦形变幅杆的纵向振动的共振频率进行了修正,得到了修正频率表达式。利用有限元软件ANSYS对一组大尺寸的余弦变幅杆进行模态分析。并发现当R1/L>0.5时,振动时伴随有弯曲振动或扭转振动,振动较为复杂,此时瑞利理论不再适用。但需要指出的是,与一维理论相比,修正后的值适用范围更大,因此对大尺寸的余弦形超声变幅杆的工程计算具有一定的指导意义。
英文摘要:
      Based on the Rayleigh's approximate theoretical hypotheses,the resonant frequency equation of cosine transformer is deduced in this paper,and then the equation is modified by Rayleigh's theory for large dimension transformers.A set of large dimension cosine transformers are analyzed by the finite element analysis software ANSYS.Torsional vibration,flexual vibration and other complicated vibration are concomitant with the longitudinal vibration when R10.5,so the Rayleigh's theory can not be used anymore.But it should be point out that compared with one-dimensional theory the frequencies after modification can be used in a wider scope.The conclusions are significant to the engineering design and calculations of large dimension cosine transformer.
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