Analytical analysis of traveling wave vibration for rotating bi-directional dual-functionally graded carbon nanotube reinforced composite stepped thin cylindrical shells

IF 6.6 1区 工程技术 Q1 ENGINEERING, CIVIL Thin-Walled Structures Pub Date : 2025-05-01 Epub Date: 2025-01-17 DOI:10.1016/j.tws.2025.112956
Ziqiang Xu , Yu Wang , Jingyu Zhai , Bing Han , Ziyi Wang , Xuehui Li
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Abstract

In this paper, considering both carbon nanotubes and the matrix are distributed axially and radially, the traveling wave vibration for the bi-directional dual-functionally graded carbon nanotube reinforced composite stepped thin cylindrical shells is researched. To begin with, the effective material properties of stepped shells are obtained by the improved law of mixtures. In the meantime, the energy expressions of the shell are derived by considering the centrifugal and the Coriolis effect generated from rotation on the basis of the first-order shear deformation theory. Through varying the stiffness value of the artificial spring, the boundary constraints on the shell and the connections between each segment are simulated in the actual working conditions. Furthermore, the Gegenbauer-Ritz method, a novel analytical approach derived from the conventional Ritz method, is chosen to analyze this model and its validity is verified through comparisons with the existing literature and the finite element method. Ultimately, the influences of the carbon nanotubes distribution types, rotating speed, and other parameters on traveling wave vibration of the rotating stepped shells under classical and elastic boundary conditions are discussed in axial and radial directions, respectively. It is shown that gradually increasing the content of carbon nanotubes towards the weak areas of the components can effectively enhance their stiffness to maximize service life. Meanwhile, when the length-to-radius ratio is large, the axial type is superior to the radial type for the reinforcement of the overall stiffness of the shell.
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旋转双向双功能梯度碳纳米管增强复合材料阶梯薄圆柱壳行波振动分析
考虑碳纳米管和基体均呈轴向和径向分布,对双向双功能梯度碳纳米管增强复合材料阶梯薄圆柱壳的行波振动进行了研究。首先,利用改进的混合定律得到阶梯壳的有效材料性能。同时,在一阶剪切变形理论的基础上,推导了考虑离心和旋转产生的科里奥利效应的壳层能量表达式。通过改变人工弹簧的刚度值,模拟了实际工况下壳体的边界约束和各节段之间的连接。在此基础上,本文选择了在传统里兹方法基础上发展起来的一种新的分析方法——Gegenbauer-Ritz方法对该模型进行分析,并与已有文献和有限元方法进行了比较,验证了其有效性。最后,分别在轴向和径向上讨论了经典边界条件和弹性边界条件下,碳纳米管分布类型、转速等参数对旋转阶梯壳行波振动的影响。结果表明,向构件薄弱部位逐渐增加碳纳米管的含量,可以有效地提高构件的刚度,使构件的使用寿命最大化。同时,当长径比较大时,轴向加固对壳体整体刚度的加固效果优于径向加固。
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来源期刊
Thin-Walled Structures
Thin-Walled Structures 工程技术-工程:土木
CiteScore
9.60
自引率
20.30%
发文量
801
审稿时长
66 days
期刊介绍: Thin-walled structures comprises an important and growing proportion of engineering construction with areas of application becoming increasingly diverse, ranging from aircraft, bridges, ships and oil rigs to storage vessels, industrial buildings and warehouses. Many factors, including cost and weight economy, new materials and processes and the growth of powerful methods of analysis have contributed to this growth, and led to the need for a journal which concentrates specifically on structures in which problems arise due to the thinness of the walls. This field includes cold– formed sections, plate and shell structures, reinforced plastics structures and aluminium structures, and is of importance in many branches of engineering. The primary criterion for consideration of papers in Thin–Walled Structures is that they must be concerned with thin–walled structures or the basic problems inherent in thin–walled structures. Provided this criterion is satisfied no restriction is placed on the type of construction, material or field of application. Papers on theory, experiment, design, etc., are published and it is expected that many papers will contain aspects of all three.
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