Thickness-shear Vibration Analysis of Rectangular Quartz Plates by a Differential Quadrature Finite Element Method

被引：5

作者：

Liu, Bo ^{[1
]}

Xing, Yufeng ^{[1
]}

机构：

[1] Beihang Univ BUAA, Solid Mech Res Ctr, Beijing 100191, Peoples R China

来源：

INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING 2014 (ICCMSE 2014) | 2014年 / 1618卷

关键词：

Thickness-shear vibration; rectangular quartz plate; differential quadrature method; finite element method; FLEXURAL VIBRATIONS;

D O I：

10.1063/1.4897669

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

Thickness-shear vibration of quartz plates is characterized by high frequency vibration that needs high accuracy and huge computational cost. In this paper, a differential quadrature finite element method (DQFEM) is applied to thickness-shear vibration of a rectangular quartz plate. The DQFEM is an effective means of implementing the p-version finite element method that is capable of providing highly accurate results using a few grid points. The fundamental thickness-shear modes obtained by the DQFEM are compared with those in literature, which validates the correctness of the results. The fundamental thickness-shear mode of the DQFEM could satisfy the completely free boundary conditions very well, so the accuracy of the DQFEM results are much better than those obtained recently in literature that could not satisfy the boundary conditions very well.

引用

页码：41 / 44

页数：4

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