Search

Article

x

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

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

Zhang Xiao-Li Lin Shu-Yu Fu Zhi-Qiang Wang Yong

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

Zhang Xiao-Li, Lin Shu-Yu, Fu Zhi-Qiang, Wang Yong
PDF
Get Citation
  • The electro-mechanical equivalent circuit is the most common method of analyzing and designing composite transducers. However, 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.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant No. 11174192).
    [1]

    Gallego-Juarez J A, Rodriguez-Corral G, Sarabia E R, Vazquez-Martinez F, Campos-Pozuelo C, Acosta-Aparicio V M 2002 Ultrasonics 40 889

    [2]

    Yuan Y L, Ma Y P, Wang D S 2004 Mechanical Engineer 10 46 (in Chinese) [袁艳玲, 马玉平, 王得胜 2004 机械工程师 10 46]

    [3]

    Lin S Y 2006 Ultrasonics 44 545

    [4]

    Watanabe Y, Mori E 1996 Ultrasonics 34 235

    [5]

    Pan X J, He X P 2010 Acta Phys. Sin. 59 7911 (in Chinese) [潘晓娟, 贺西平 2010 物理学报 59 7911]

    [6]

    He X P 2010 Acta Phys. Sin. 59 3290 (in Chinese) [贺西平 2010 物理学报 59 3290]

    [7]

    Mason W P 1964 Physical Acoustics Principles and Methods (Vol. 1) (New York: Academic Press) p72

    [8]

    Paganelli R P, Romani A, Golfarelli A, Magi M, Sangiorgi E, Tartagni M 2010 Sens. Actuators A 160 9

    [9]

    Lin S Y 2004 Principle and Design of Ultrasonic Transducer (Beijing: Science Press) p162 (in Chinese) [林书玉 2004 超声换能器的原理及设计(北京: 科学出版社)第162页]

    [10]

    Lin S Y 2012 IEEE Trans Ultrason. Ferroelectr. Freq. Control 59 139

    [11]

    Wang Q S 2001 Journal of Anqing Teachers College (Natural Science Edition) 7 1 (in Chinese) [王其申 2001 安庆师范学院学报(自然科学版) 7 1]

    [12]

    Xu Z L 1982 Elastic Mechanics (Vol. 2) (Beijing: People's Education Press) p263 (in Chinese) [徐芝纶 1982 弹性力学(下册) (北京: 人民教育出版社)第263页]

    [13]

    Wei Y Y, Wang W X, Li H F 1999 Journal of University of Electronic Science and Technology 28 66 (in Chinese) [魏彦玉, 王文祥, 李宏福 1999 电子科技大学学报 28 66]

    [14]

    Xiong Z H, Liu Z Y 1988 Variational Principles in Elasticity (Changsha: Hunan University Press) p319 (in Chinese) [熊祝华, 刘子延 1988 弹性力学变分原理(长沙: 湖南大学出版社)第319页]

  • [1]

    Gallego-Juarez J A, Rodriguez-Corral G, Sarabia E R, Vazquez-Martinez F, Campos-Pozuelo C, Acosta-Aparicio V M 2002 Ultrasonics 40 889

    [2]

    Yuan Y L, Ma Y P, Wang D S 2004 Mechanical Engineer 10 46 (in Chinese) [袁艳玲, 马玉平, 王得胜 2004 机械工程师 10 46]

    [3]

    Lin S Y 2006 Ultrasonics 44 545

    [4]

    Watanabe Y, Mori E 1996 Ultrasonics 34 235

    [5]

    Pan X J, He X P 2010 Acta Phys. Sin. 59 7911 (in Chinese) [潘晓娟, 贺西平 2010 物理学报 59 7911]

    [6]

    He X P 2010 Acta Phys. Sin. 59 3290 (in Chinese) [贺西平 2010 物理学报 59 3290]

    [7]

    Mason W P 1964 Physical Acoustics Principles and Methods (Vol. 1) (New York: Academic Press) p72

    [8]

    Paganelli R P, Romani A, Golfarelli A, Magi M, Sangiorgi E, Tartagni M 2010 Sens. Actuators A 160 9

    [9]

    Lin S Y 2004 Principle and Design of Ultrasonic Transducer (Beijing: Science Press) p162 (in Chinese) [林书玉 2004 超声换能器的原理及设计(北京: 科学出版社)第162页]

    [10]

    Lin S Y 2012 IEEE Trans Ultrason. Ferroelectr. Freq. Control 59 139

    [11]

    Wang Q S 2001 Journal of Anqing Teachers College (Natural Science Edition) 7 1 (in Chinese) [王其申 2001 安庆师范学院学报(自然科学版) 7 1]

    [12]

    Xu Z L 1982 Elastic Mechanics (Vol. 2) (Beijing: People's Education Press) p263 (in Chinese) [徐芝纶 1982 弹性力学(下册) (北京: 人民教育出版社)第263页]

    [13]

    Wei Y Y, Wang W X, Li H F 1999 Journal of University of Electronic Science and Technology 28 66 (in Chinese) [魏彦玉, 王文祥, 李宏福 1999 电子科技大学学报 28 66]

    [14]

    Xiong Z H, Liu Z Y 1988 Variational Principles in Elasticity (Changsha: Hunan University Press) p319 (in Chinese) [熊祝华, 刘子延 1988 弹性力学变分原理(长沙: 湖南大学出版社)第319页]

  • [1] Wang Xiu-Zhi, Gao Jin-Song, Xu Nian-Xi. Quick analysis of miniaturized-element frequency selective surface that loaded with lumped elements by using an equivalent circuit model. Acta Physica Sinica, 2013, 62(20): 207301. doi: 10.7498/aps.62.207301
    [2] Wu Chao, Lü Xu-Liang, Zeng Zhao-Yang, Jia Qi. Investigation of effective EM parameter based on impedance simulation. Acta Physica Sinica, 2013, 62(5): 054101. doi: 10.7498/aps.62.054101
    [3] Wang Ze-Feng, Hu Yong-Ming, Luo Hong, Meng Zhou, Ni Ming, Xiong Shui-Dong. Influence of cavity wall elasticity on resonant frequency of small underwater cylindrical Helmholtz resonator. Acta Physica Sinica, 2009, 58(4): 2507-2512. doi: 10.7498/aps.58.2507
    [4] Hu Feng-Wei, Bao Bo-Cheng, Wu Hua-Gan, Wang Chun-Li. Equivalent circuit analysis model of charge-controlled memristor and its circuit characteristics. Acta Physica Sinica, 2013, 62(21): 218401. doi: 10.7498/aps.62.218401
    [5] Du Jin-Jin, Li Wen-Fang, Wen Rui-Juan, Li Gang, Zhang Tian-Cai. Precision measurement of resonate frequency and the effective cavity length of the high finesse optical micro-cavity. Acta Physica Sinica, 2013, 62(19): 194203. doi: 10.7498/aps.62.194203
    [6] Li Hong-Qi. Quantization of mesoscopic quartz piezoelectric crystal equivalent circuit. Acta Physica Sinica, 2005, 54(3): 1361-1365. doi: 10.7498/aps.54.1361
    [7] Bai Chun-Jiang, Li Jian-Qing, Hu Yu-Lu, Yang Zhong-Hai, Li Bin. Calculation of beam-wave interaction of coupled-cavity TWT using equivalent circuit model. Acta Physica Sinica, 2012, 61(17): 178401. doi: 10.7498/aps.61.178401
    [8] Chen Shu-Yuan, Ruan Cun-Jun, Wang Yong. Research on equivalent circuit of multi-gap output cavity for sheet beam extended-interaction klystron. Acta Physica Sinica, 2014, 63(2): 028402. doi: 10.7498/aps.63.028402
    [9] WANG JUN-HONG. ANALYSIS OF THE PROPAGATING PROPERTIES OF PULSE VOLTAGE AND CURRENT ON DIPOLE AN TENNAS BY EQUIVALENT CIRCUIT METHOD. Acta Physica Sinica, 2000, 49(9): 1696-1701. doi: 10.7498/aps.49.1696
    [10] Li Yu-Han, Deng Lian-Wen, Luo Heng, He Long-Hui, He Jun, Xu Yun-Chao, Huang Sheng-Xiang. Equivalent circuit model and microwave reflection loss mechanism of double-layer spiral-ring metasurface embedded composite microwave absorber. Acta Physica Sinica, 2019, 68(9): 095201. doi: 10.7498/aps.68.20181960
  • Citation:
Metrics
  • Abstract views:  1001
  • PDF Downloads:  1103
  • Cited By: 0
Publishing process
  • Received Date:  27 April 2012
  • Accepted Date:  06 September 2012
  • Published Online:  05 February 2013

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

  • 1. Institute of Applied Acoustics, Shaanxi Normal University, Xi'an 710062, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant No. 11174192).

Abstract: The electro-mechanical equivalent circuit is the most common method of analyzing and designing composite transducers. However, 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.

Reference (14)

Catalog

    /

    返回文章
    返回