Vibration analysis of the plate with the regular and irregular domain by using the Barycentric Lagrange interpolation

IF 2.3 4区工程技术 Q1 Earth and Planetary Sciences

Journal of Low Frequency Noise Vibration and Active Control Pub Date : 2018-12-28 DOI:10.1177/1461348418819405

Yen Liang Yeh

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引用次数: 2

Abstract

This paper uses the Barycentric Lagrange interpolation method to explore the free vibration of a plate with the regular and irregular domain using the Chebyshev function, allowing us to consider multiple dimensions. From our results, it can be shown that the Barycentric Lagrange interpolation method can solve three-dimensional problems. In the analysis, we can see that the Barycentric Lagrange interpolation method can solve the dynamic motion of the plate with regular domain, and the error of the simulation can be reduced to 0.15%. The effect of the geometric node number on the simulated error of the natural frequency of the plate is very profound. The Barycentric Lagrange interpolation method and the extrapolation difference method can solve the natural frequency of the plate with irregular domain. The error of the simulation on the natural frequency can be reduced to 1.084%. This allows us to understand the vibration of the plate with the regular and irregular domain under various boundary conditions quickly.

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用重心拉格朗日插值法分析了规则域和不规则域板的振动

本文采用重心拉格朗日插值方法，利用切比雪夫函数探讨具有规则域和不规则域的板的自由振动，允许我们考虑多个维度。结果表明，重心拉格朗日插值方法可以求解三维问题。在分析中可以看出，质心拉格朗日插值方法可以求解具有规则域的板的动态运动，仿真误差可以降低到0.15%。几何节点数对板固有频率模拟误差的影响是非常深远的。重心拉格朗日插值法和外推差分法可以求解不规则域板的固有频率。对固有频率的仿真误差可减小到1.084%。这使我们能够快速地了解具有规则域和不规则域的板在各种边界条件下的振动。

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

Journal of Low Frequency Noise Vibration and Active Control 物理-声学

CiteScore

5.40

自引率

4.30%

发文量

审稿时长

4.2 months

期刊介绍： Journal of Low Frequency Noise, Vibration & Active Control is a peer-reviewed, open access journal, bringing together material which otherwise would be scattered. The journal is the cornerstone of the creation of a unified corpus of knowledge on the subject.