横向对称功能分级材料拱的平面内自由振动

IF 1.5 4区 材料科学 Q4 MATERIALS SCIENCE, COMPOSITES
Gweon Sik Kim, Joon Kyu Lee, Byoung Koo Lee
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引用次数: 0

摘要

本研究旨在分析由横向对称功能分级材料组成的拱的平面内自由振动。重点是材料特性以幂律函数围绕中心轴横向对称变化的圆形拱。在边界条件下导出了支配拱模态振型的微分方程,并使用 Runge-Kutta 和 Regula-Falsi 方法进行数值求解,以计算固有频率。这项研究的固有频率计算结果与有限元法的计算结果比较吻合。本研究还强调并详细讨论了各种拱形参数对自然频率的影响。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

In-Plane Free Vibration of Laterally Symmetric Functionally Graded Material Arches

In-Plane Free Vibration of Laterally Symmetric Functionally Graded Material Arches

This study aims to analyze the in-plane free vibrations of arches comprising the laterally symmetric functionally graded materials. Emphasis is placed on the circular arch whose material properties vary laterally symmetrically about the centroidal axis by a power-law function. The differential equations governing the mode shape of the arch were derived under the boundary conditions and were numerically solved to calculate the natural frequencies using the Runge–Kutta and Regula–Falsi methods. Calculation results of this study for natural frequencies compare well with those of the finite element method. The effects of various arch parameters on natural frequencies are highlighted and discussed in detail.

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来源期刊
Mechanics of Composite Materials
Mechanics of Composite Materials 工程技术-材料科学:复合
CiteScore
2.90
自引率
17.60%
发文量
73
审稿时长
12 months
期刊介绍: Mechanics of Composite Materials is a peer-reviewed international journal that encourages publication of original experimental and theoretical research on the mechanical properties of composite materials and their constituents including, but not limited to: damage, failure, fatigue, and long-term strength; methods of optimum design of materials and structures; prediction of long-term properties and aging problems; nondestructive testing; mechanical aspects of technology; mechanics of nanocomposites; mechanics of biocomposites; composites in aerospace and wind-power engineering; composites in civil engineering and infrastructure and other composites applications.
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