Wave propagation analysis of porous functionally graded curved beams in the thermal environment

IF 2.2 4区 工程技术 Q2 ENGINEERING, CIVIL Structural Engineering and Mechanics Pub Date : 2021-01-01 DOI:10.12989/SEM.2021.79.6.665
Xinli Xu, Chunwei Zhang, F. Musharavati, T. Sebaey, Afrasyab Khan
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引用次数: 3

Abstract

In the present paper, wave propagation behavior of porous temperature-dependent functionally graded curved beams within the thermal environment is analyzed for the first time. A recently-developed method is utilized which considers the reciprocal effect of mass density and Young's modulus in order to explore the influence of porosity. Three different types of temperature variation (uniform temperature change (UTC), linear temperature change (LTC), sinusoidal temperature change (STC)) are employed to study the effect of various thermal loads. Euler-Bernoulli beam theory, also known as classic beam theory is implemented in order to derive kinetic and kinematic relations, and then Hamilton's principle is used to obtain governing equations of porous functionally graded curved beams. The obtained governing equations are analytically solved. Eventually, the influences of various parameters such as wave number, porosity coefficient, various types of temperature change and power index are covered and indicated in a set of illustrations.
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热环境下多孔功能梯度弯曲梁的波传播分析
本文首次分析了多孔温度相关功能梯度弯曲梁在热环境中的波传播特性。采用了一种考虑质量密度和杨氏模量互反效应的新方法来探讨孔隙度的影响。采用三种不同的温度变化类型(均匀温度变化(UTC)、线性温度变化(LTC)、正弦温度变化(STC))来研究不同热负荷的影响。采用欧拉-伯努利梁理论,即经典梁理论,推导出多孔功能梯度弯曲梁的动力学和运动学关系,然后利用Hamilton原理得到多孔功能梯度弯曲梁的控制方程。对得到的控制方程进行了解析求解。最后,用一组插图说明了波数、孔隙率系数、各种温度变化和功率指数等参数的影响。
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来源期刊
Structural Engineering and Mechanics
Structural Engineering and Mechanics 工程技术-工程:机械
CiteScore
3.80
自引率
18.20%
发文量
0
审稿时长
11 months
期刊介绍: The STRUCTURAL ENGINEERING AND MECHANICS, An International Journal, aims at: providing a major publication channel for structural engineering, wider distribution at more affordable subscription rates; faster reviewing and publication for manuscripts submitted; and a broad scope for wider participation. The main subject of the Journal is structural engineering concerned with aspects of mechanics. Areas covered by the Journal include: - Structural Mechanics - Design of Civil, Building and Mechanical Structures - Structural Optimization and Controls - Structural Safety and Reliability - New Structural Materials and Applications - Effects of Wind, Earthquake and Wave Loadings on Structures - Fluid-Structure and Soil-Structure Interactions - AI Application and Expert Systems in Structural Engineering. Submission of papers from practicing engineers is particularly encouraged.
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