NDLI: An analysis of thickness-shear vibrations of an annular plate with the Mindlin plate equations

Content Provider	IEEE Xplore Digital Library
Author	Ji Wang Hui Chen Tingfeng Ma Jianke Du Lijun Yi Yook-Kong Yong
Copyright Year	2015
Description	Author affiliation: Dept. of Civil & Environ. Eng., Rutgers Univ., NJ, USA (Yook-Kong Yong) \|\| Sch. of Mech. Eng. & Mech., Ningbo Univ., Ningbo, China (Ji Wang; Hui Chen; Tingfeng Ma; Jianke Du; Lijun Yi)
Abstract	The Mindlin plate equations with the consideration of thickness-shear deformation as an independent variable have been used for the analysis of vibrations of quartz crystal resonators of both rectangular and circular types. The Mindlin or Lee plate theories that treat thickness-shear deformation as an independent higher-order vibration mode in a coupled system of two-dimensional variables are the choice of theory for analysis. For circular plates, we derived the Mindlin plate equations in a systematic manner as demonstrated by Mindlin and others and obtained the truncated two-dimensional equations of closely coupled modes in polar coordinates. We simplified the equations for vibration modes in the vicinity of fundamental thickness-shear frequency and validated the equations and method. To explore newer structures of quartz crystal resonators, we utilized the Mindlin plate equations for the analysis of annular plates with fixed inner and free outer edges for frequency spectra. The detailed analysis of vibrations of circular plates for the normalized frequency versus dimensional parameters provide references for optimal selection of parameters based on the principle of strong thickness-shear mode and minimal presence of other modes to enhance energy trapping through maintaining the strong and pure thickness-shear vibrations insensitive to some complication factors such as thermal and initial stresses.
Starting Page	402
Ending Page	405
File Size	930980
Page Count	4
File Format	PDF
e-ISBN	9781479988662
DOI	10.1109/FCS.2015.7138867
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-04-12
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Vibrations Crystals Resonant frequency Mathematical model Boundary conditions Stress Shape resonator annular plate vibration frequency shear
Content Type	Text
Resource Type	Article

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