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用二维等效电路模型研究大截面圆柱变幅杆的振动

Vibration of column horn with large aspect ratio by 2-D equivalent circuit

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【作者】 凤飞龙沈建中邓京军

【Author】 FENG Fei-long,SHEN Jian-zhong,DENG Jing-jun(Institute of Acoustics,Chinese Academy of Sciences,Beijing 100080,China)

【机构】 中国科学院声学研究所中国科学院声学研究所 北京100080北京100080

【摘要】 由振动方程的近似解得到了具有大尺寸比的圆柱变幅杆的二维等效电路,用于带外载或不带外载的圆柱轴对称振动分析,以及尺寸比变化引起的频率变化评价。与有限元及一维模型进行了对比。发现该模型计算频率比一维模型更准确,与有限元模态分析相一致。进而由此确定了这些频率所对应的振动模态。计算发现轴向和周向水负载对应的圆柱振动频率接近,可用于超声变幅杆的优化。

【Abstract】 A 2-D equivalent circuit of column horn with large aspect ratio is obtained from an approximated solution of vibration equations.It is used in axisymmetric vibration analysis with or without external load,and also used in frequency variation evaluation due to various aspect ratios.Comparison is made with other models such as the finite element and the traditional 1-D models.It has been shown that this model gives a more accurate frequency calculation than the 1-D models,and agrees with the finite element mode analysis.In turn,the frequency associated vibr-ation mode is determined.When water-loaded,axially or circumferentially,vibration frequencies in these two cases are rather close.This model is expected to have a further use in optimizing ultrasound horn.

【关键词】 超声变幅杆等效电路振动
【Key words】 ultrasonic hornequivalent circuitvibration
【基金】 国家自然科学基金(10474110);重大基础研究前期研究专项(NO:2002CCA03400)
  • 【文献出处】 声学技术 ,Technical Acoustics , 编辑部邮箱 ,2007年01期
  • 【分类号】TB53
  • 【被引频次】8
  • 【下载频次】124
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