The Behavior of Vibration in a Non-Homogeneous Orthotropic Rectangular Plate with a Linearly Varying Temperature and Circularly Varying Thickness in Two Dimensions

IF 0.4 4区 物理与天体物理 Q4 PHYSICS, APPLIED
Abhishek Thakur, Ashish Kumar Sharma, Umesh Bhardwaj
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引用次数: 0

Abstract

In present paper analysis, we try to figure out first two mode of vibration of a non-homogeneous orthotropic rectangular plate with linearly varying temperature and circularly varying thickness in two dimensions. For non-homogeneity of the plate material the density vary linearly in x-direction. Rayleigh–Ritz method is used to solve the general differential equation of the orthotropic rectangular plate which is circular in two dimensions. The governing equations provide the frequencies for the first two vibration modes. Under clamped boundary condition several parameters including taper constants, thermal gradient, non-homogeneity, and aspect ratio, are analyzed. All calculations are calculated with the help of MATLAB, and the results are presented through graphs and tables for first two modes of vibration.

二维线性变温、圆变厚度非均匀正交各向异性矩形板的振动特性
在本文的分析中,我们试图在二维空间中找出具有线性变温和圆变厚度的非均匀正交各向异性矩形板的前两种振动模式。对于非均匀性板材料,密度在x方向上呈线性变化。采用瑞利-里兹法求解了二维正交各向异性圆形矩形板的一般微分方程。控制方程给出了前两种振动模式的频率。在夹紧边界条件下,分析了锥度常数、热梯度、非均匀性和长径比等参数。所有的计算都是在MATLAB的帮助下进行的,并以图形和表格的形式给出了前两种振型的计算结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Technical Physics
Technical Physics 物理-物理:应用
CiteScore
1.30
自引率
14.30%
发文量
139
审稿时长
3-6 weeks
期刊介绍: Technical Physics is a journal that contains practical information on all aspects of applied physics, especially instrumentation and measurement techniques. Particular emphasis is put on plasma physics and related fields such as studies of charged particles in electromagnetic fields, synchrotron radiation, electron and ion beams, gas lasers and discharges. Other journal topics are the properties of condensed matter, including semiconductors, superconductors, gases, liquids, and different materials.
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