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弯曲振动薄圆盘的共振频率和等效电路参数研究

张小丽 林书玉 付志强 王勇

物理学报Issue(3):186-191,6.
物理学报Issue(3):186-191,6.DOI:10.7498/aps.62.034301

弯曲振动薄圆盘的共振频率和等效电路参数研究

Study on resonance frequency and equivalent circuit parameters of a thin disk in flexural vibration∗

张小丽 1林书玉 1付志强 1王勇1

作者信息

  • 1. 陕西师范大学应用声学研究所,西安 710062
  • 折叠

摘要

Abstract

The electro-mechanical equivalent circuit is the most common method of analyzing and designing composite transducers. How-ever, for the thin disk, because of the complexity of flexural vibration, equivalent lumped parameters are difficult to obtain, and so this method is rarely used. From the point of equivalent view of the distributed parameter system and lumped parameter system, according to the kinetic energy equal principle and the potential energy equal principle in this paper, we give the lumped parameter equivalent mass and equivalent elasticity coefficient of the flexural vibration, and the resonance frequency equations as well. The results from the analytical method are in good agreement with those from the finite element method. Finally, the equivalent circuit of lumped parameter model of the thin disk in analyzing the composite vibration system is given. These results can serve as a reference for designing flexural vibration composite transducers.

关键词

弯曲振动薄圆盘/共振频率/集中参数/等效电路

Key words

flexural vibration thin disk/resonance frequency/lumped parameters/equivalent circuit

引用本文复制引用

张小丽,林书玉,付志强,王勇..弯曲振动薄圆盘的共振频率和等效电路参数研究[J].物理学报,2013,(3):186-191,6.

基金项目

国家自然科学基金(批准号:11172120,10932002,10872084)、辽宁省高校科研基金(批准号:2008S098)、辽宁省高等学校优秀人才支持计划(批准号:2008RC20)和辽宁省重点实验室建设项目(批准号:2008403009)资助的课题 (批准号:11172120,10932002,10872084)

物理学报

OA北大核心CSCDCSTPCD

1000-3290

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