研究FGM纳米光束固有频率的参数均匀化模型

IF 1.4 Q4 MATERIALS SCIENCE, MULTIDISCIPLINARY AIMS Materials Science Pub Date : 2023-01-01 DOI:10.3934/matersci.2023048
Abdelhak Berkia, Billel Rebai, Bilal Litouche, Soufiane Abbas, Khelifa Mansouri
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引用次数: 0

摘要

& lt; abstract>本研究重点探讨了功能梯度纳米梁的自由振动特性。为了计算仅在厚度方向上变化的FG纳米束的有效性能,采用了Mori-Tanaka、Tamura、Reuss和Voigt四种均匀化方案。本文采用高阶剪切变形纳米梁理论,利用Eringen非局部微分本构关系推导出纳米梁的运动控制方程。哈密顿原理与改进的三变量光束理论结合使用。长度尺度参数的考虑考虑了小尺度效应。得到了简支FG纳米梁的解析解,并与已有的解进行了比较。研究了不同均质方案、非局部参数、光束长径比和不同材料组成对FG纳米梁动态响应的影响。& lt; / abstract>
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Investigating parametric homogenization models for natural frequency of FGM nano beams

This research focuses on exploring the free vibration behavior of functionally graded (FG) nano-beams. To calculate the effective properties of the FG nano-beam, which varies solely in the thickness direction, the four homogenization schemes Mori-Tanaka, Tamura, Reuss and Voigt are employed. This study employs high-order shear deformation nano-beam theory and derives the governing equations of motion using nonlocal differential constitutive relations of Eringen. Hamilton's principle is utilized in conjunction with the refined three variables beam theory. The consideration of a length scale parameter accounts for small-scale effects. Analytical solutions are obtained for a simply supported FG nano-beam and compared with existing literature solutions. The research also investigates the influence of different homogenization schemes, the nonlocal parameter, beam aspect ratio and various material compositions on the dynamic response of the FG nano-beam.

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来源期刊
AIMS Materials Science
AIMS Materials Science MATERIALS SCIENCE, MULTIDISCIPLINARY-
CiteScore
3.60
自引率
0.00%
发文量
33
审稿时长
4 weeks
期刊介绍: AIMS Materials Science welcomes, but not limited to, the papers from the following topics: · Biological materials · Ceramics · Composite materials · Magnetic materials · Medical implant materials · New properties of materials · Nanoscience and nanotechnology · Polymers · Thin films.
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