Free Vibration Analysis of Functionally Graded Nano Graphene Composite Sandwich Plates Resting on a Winkler-Pasternak Foundation

IF 1.5 4区 材料科学 Q4 MATERIALS SCIENCE, COMPOSITES Mechanics of Composite Materials Pub Date : 2024-08-22 DOI:10.1007/s11029-024-10225-y
M. R. Shahmoradian, A. Salarvand, M. M. Kheirikhah
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Abstract

The free vibrations of graphene-reinforced composite sandwich plates resting on a Winkler-Pasternak foundation were analyzed. The sandwich structure was divided into three layers including two thin facesheets made of a functionally graded graphene-reinforced composite and a thick core from a soft lightweight polymer foam. Five different functionally graded distribution patterns were considered for the facesheets. A refined high order theory was employed for kinematic assumptions. The transverse flexibility of the core and zero transverse shear stress conditions at the lower and upper surfaces of the plate were taken into account. The Hamilton’s principle was used to obtain the equations of motion and the analytical solutions were presented. Effects of the elastic foundation, plate geometry, and the graphene platelets properties on the natural frequencies of the sandwich plate were explored. The accuracy and reliability of the present modeling and results were examined and verified in specific cases. Results showed that reinforcing the facesheets of sandwich plates by graphene platelets increases their natural frequencies.

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静置于温克勒-帕斯捷尔纳克地基上的功能分级纳米石墨烯复合材料夹层板的自由振动分析
研究分析了石墨烯增强复合材料夹层板在温克勒-帕斯捷尔纳克地基上的自由振动。夹层结构分为三层,包括两层由功能分级石墨烯增强复合材料制成的薄面层和一层由软质轻质聚合物泡沫制成的厚芯层。面层考虑了五种不同的功能分级分布模式。运动学假设采用了精炼的高阶理论。考虑了芯材的横向柔性和板材上下表面的零横向剪应力条件。利用汉密尔顿原理获得了运动方程,并给出了分析解。研究探讨了弹性基础、板的几何形状和石墨烯微粒特性对夹层板固有频率的影响。在特定情况下,对本模型和结果的准确性和可靠性进行了检验和验证。结果表明,用石墨烯微粒增强夹层板的面层可提高其固有频率。
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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.
期刊最新文献
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