Free vibration analysis of sandwich cylindrical shells with functionally graded carbon nanotube-reinforced composite face sheets using the differential quadrature (DQ) method

IF 2.9 3区工程技术 Q2 MECHANICS

Acta Mechanica Pub Date : 2025-01-15 DOI:10.1007/s00707-025-04230-y

Hadj Youzera, Sid Ahmed Meftah, Abdelouahed Tounsi, Mohamed Abdelaziz Salem, Khaled Mohamed Khedher, Murat Yaylacı

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Abstract

This study investigates the free vibration behavior of cylindrical shell with a stiff core and functionally graded carbon nanotube-reinforced composite (FG-CNTRC) face sheets. Both uniformly distributed CNT reinforced (UD-CNT) and functionally graded CNT reinforced (FG-CNT) in the thickness direction are used to examine their impact on the vibration characteristics of sandwich cylindrical shells. The governing differential equations of motions are derived using Hamilton’s principle. These equations are solved using the differential quadrature (DQ) method to calculate the natural frequencies of the sandwich cylindrical shell. This approach allows for the consideration of various support configurations of the sandwich cylindrical beams. A comprehensive parametric study is performed to explore the influence of carbon nanotube volume fraction, core-to-face sheet thickness ratio, slenderness ratio, and end supports on the free vibration behavior of cylindrical shells with functionally graded carbon nanotube-reinforced composite (FG-CNTRC) face sheets. The results show that the effects of carbon nanotubes and other geometric factors significantly influence the dimensionless frequencies of the sandwich cylindrical shells.

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用微分正交法分析功能梯度碳纳米管增强复合材料面板夹层圆柱壳的自由振动

本文研究了硬核圆柱壳和功能梯度碳纳米管增强复合材料（FG-CNTRC）面片的自由振动行为。采用厚度方向上的均匀分布碳纳米管增强（UD-CNT）和功能梯度碳纳米管增强（FG-CNT）研究了它们对夹层圆柱壳振动特性的影响。利用哈密顿原理推导出运动的控制微分方程。采用微分正交法求解夹层圆柱壳的固有频率。这种方法允许考虑夹层圆柱梁的各种支撑结构。通过综合参数研究，探讨了碳纳米管体积分数、芯面厚度比、长细比和端支对功能梯度碳纳米管增强复合材料（FG-CNTRC）面板圆柱壳自由振动行为的影响。结果表明，碳纳米管等几何因素对夹层圆柱壳的无量纲频率有显著影响。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Acta Mechanica 物理-力学

CiteScore

4.30

自引率

14.80%

发文量

292

审稿时长

6.9 months

期刊介绍： Since 1965, the international journal Acta Mechanica has been among the leading journals in the field of theoretical and applied mechanics. In addition to the classical fields such as elasticity, plasticity, vibrations, rigid body dynamics, hydrodynamics, and gasdynamics, it also gives special attention to recently developed areas such as non-Newtonian fluid dynamics, micro/nano mechanics, smart materials and structures, and issues at the interface of mechanics and materials. The journal further publishes papers in such related fields as rheology, thermodynamics, and electromagnetic interactions with fluids and solids. In addition, articles in applied mathematics dealing with significant mechanics problems are also welcome.