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带类余弦过渡段阶梯形变幅杆扭转振动特性研究
引用本文:桑永杰,林书玉. 带类余弦过渡段阶梯形变幅杆扭转振动特性研究[J]. 陕西师范大学学报(自然科学版), 2006, 34(4): 50-53
作者姓名:桑永杰  林书玉
作者单位:陕西师范大学应用声学研究所 陕西西安710062
摘    要:
基于传递矩阵算法,推导出了变截面杆扭转振动时等效四端网络参量的一般表达式,研究了带类余弦过渡段阶梯形变幅杆扭转振动频率方程与角速度放大倍数及外表面切向速度放大倍数等的关系.结合阶梯形变幅杆两段长度相等的情况,分析了系统的扭转振动特性,得出了过渡段参数和阶梯形变幅杆参数的关系图像.结果表明,文中得出的一般表达式适用于带类余弦过渡段复合阶梯形变幅杆的扭转振动特性描述.

关 键 词:类余弦  变幅杆  频率方程  四端网络  放大倍数
文章编号:1672-4291(2006)04-0050-04
收稿时间:2006-02-12
修稿时间:2006-02-12

Study on stepped type torsional ultrasonic horn with transitional section of cosine-like type
SANG Yong-jie,LIN Shu-yu. Study on stepped type torsional ultrasonic horn with transitional section of cosine-like type[J]. Journal of Shaanxi Normal University: Nat Sci Ed, 2006, 34(4): 50-53
Authors:SANG Yong-jie  LIN Shu-yu
Abstract:
Based on the transfer-matrix method,the general expressions of equivalent four-terminal network parameters of varying section torsional horn are derived,the relations between frequency equation and both the rotational velocity amplification and that of the surface tangential velocity of stepped type torsional ultrasonic horn with transitional section of cosine-like type are obtained.When the front section length is equal to that of the back section,the torsional characteristic of the system is studied.The article provides some theoretical foundation for the similar system.
Keywords:cosine-like  horn  frequency equation  four-terminal network  amplification factor
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