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

IF 5.7 1区工程技术 Q1 ENGINEERING, CIVIL Thin-Walled Structures Pub Date : 2025-01-17 DOI:10.1016/j.tws.2025.112956

Ziqiang Xu , Yu Wang , Jingyu Zhai , Bing Han , Ziyi Wang , Xuehui Li

{"title":"Analytical analysis of traveling wave vibration for rotating bi-directional dual-functionally graded carbon nanotube reinforced composite stepped thin cylindrical shells","authors":"Ziqiang Xu , Yu Wang , Jingyu Zhai , Bing Han , Ziyi Wang , Xuehui Li","doi":"10.1016/j.tws.2025.112956","DOIUrl":null,"url":null,"abstract":"<div><div>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.</div></div>","PeriodicalId":49435,"journal":{"name":"Thin-Walled Structures","volume":"210 ","pages":"Article 112956"},"PeriodicalIF":5.7000,"publicationDate":"2025-01-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Thin-Walled Structures","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0263823125000503","RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, CIVIL","Score":null,"Total":0}

引用次数: 0

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.

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

求助全文

约1分钟内获得全文去求助

来源期刊

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.