Volume 5, Issue 1, March 2019, Page: 1-5
Study on the Radial Vibration of a Thin Annular Vibrator with Multi-Radial Slots
Liu Shiqing, College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua, China
Ma Leilei, College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua, China
Liu Yifeng, Institute of Acoustics, Chinese Academy of Sciences, Beijing, China
Li Dan, College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua, China
Chen Zhaojiang, College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua, China
Received: Dec. 31, 2018;       Accepted: Jan. 21, 2019;       Published: Mar. 28, 2019
DOI: 10.11648/j.ajasr.20190501.11      View  174      Downloads  22
Abstract
The radial vibration of a thin annular vibrator with multiple radial slots is studied. Based on the electro-mechanical analogy, the equivalent circuit and the frequency equation of the slotting thin annular vibrator in radial vibration are derived. By numerical simulations, the influences of the radius ratio of the thin annular vibrator on its displacement amplitude amplification factor and the first- and the second-order resonance frequency have been investigated. The analysis results manifest that the first-order amplitude amplification factor and the resonance frequency of the ring increase with the increases of the radius ratio, and the situation is the opposite for the relation between the second-order amplitude amplification factor and the radius ratio. The Finite Element Method (FEM) is employed for the simulation of the radial vibration of the thin annular vibrator. The FEM results are in good agreement with the analytical solution.
Keywords
Thin Annular Vibrator, Multiple Radial Slots, Radial Vibration, Resonance Frequency, The Amplitude Amplification Factor, FEM Simulation
To cite this article
Liu Shiqing, Ma Leilei, Liu Yifeng, Li Dan, Chen Zhaojiang, Study on the Radial Vibration of a Thin Annular Vibrator with Multi-Radial Slots, American Journal of Applied Scientific Research. Vol. 5, No. 1, 2019, pp. 1-5. doi: 10.11648/j.ajasr.20190501.11
Copyright
Copyright © 2019 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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