Semi-analytical modeling and analysis on traveling wave vibration characteristics of spinning FGP-GPLRC stepped cylindrical shells under discontinuous boundary conditions

IF 2.2 3区工程技术 Q2 MECHANICS

Archive of Applied Mechanics Pub Date : 2024-07-14 DOI:10.1007/s00419-024-02654-x

Ying Zhang, Hongda Xu, Yu Wang, Haoran Liu, Yufan Zhang

{"title":"Semi-analytical modeling and analysis on traveling wave vibration characteristics of spinning FGP-GPLRC stepped cylindrical shells under discontinuous boundary conditions","authors":"Ying Zhang, Hongda Xu, Yu Wang, Haoran Liu, Yufan Zhang","doi":"10.1007/s00419-024-02654-x","DOIUrl":null,"url":null,"abstract":"<div><p>A semi-analytical modeling approach is introduced for investigating the traveling wave vibration characteristics of spinning functionally graded porous graphene platelet-reinforced composite (FGP-GPLRC) stepped cylindrical shells under discontinuous boundary conditions. The equivalent material properties of the stepped shell are generated based on the open cell body theory and the Halpin–Tsai micromechanical model. Then, the arc connection approach is introduced, and the artificial spring method is used to model the continuous coupling relationship between the shell segments and discontinuous boundary conditions at the ends of the shell. Based on the first-order shear deformation theory (FSDT), the traveling wave frequency of the shell under discontinuous boundary conditions is solved by the Gegenbauer–Ritz method and the state space method. Finally, the correctness of the semi-analytical modeling approach is confirmed by comparison of the results with the literature and the finite element method. In addition, the effects of various parameters on the frequency of spinning FGP-GPLRC stepped cylindrical shells under discontinuous boundary conditions are discussed.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"94 10","pages":"2989 - 3015"},"PeriodicalIF":2.2000,"publicationDate":"2024-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Archive of Applied Mechanics","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s00419-024-02654-x","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MECHANICS","Score":null,"Total":0}

引用次数: 0

Abstract

A semi-analytical modeling approach is introduced for investigating the traveling wave vibration characteristics of spinning functionally graded porous graphene platelet-reinforced composite (FGP-GPLRC) stepped cylindrical shells under discontinuous boundary conditions. The equivalent material properties of the stepped shell are generated based on the open cell body theory and the Halpin–Tsai micromechanical model. Then, the arc connection approach is introduced, and the artificial spring method is used to model the continuous coupling relationship between the shell segments and discontinuous boundary conditions at the ends of the shell. Based on the first-order shear deformation theory (FSDT), the traveling wave frequency of the shell under discontinuous boundary conditions is solved by the Gegenbauer–Ritz method and the state space method. Finally, the correctness of the semi-analytical modeling approach is confirmed by comparison of the results with the literature and the finite element method. In addition, the effects of various parameters on the frequency of spinning FGP-GPLRC stepped cylindrical shells under discontinuous boundary conditions are discussed.

Abstract Image

查看原文本刊更多论文

非连续边界条件下旋转 FGP-GPLRC 阶梯圆柱壳行波振动特性的半解析建模与分析

本文介绍了一种半解析建模方法，用于研究不连续边界条件下旋转功能分级多孔石墨烯血小板增强复合材料（FGP-GPLRC）阶梯圆柱壳的行波振动特性。根据开放细胞体理论和 Halpin-Tsai 微机械模型生成了阶梯壳的等效材料特性。然后，引入了弧形连接方法，并使用人工弹簧法来模拟壳段之间的连续耦合关系和壳体两端的不连续边界条件。基于一阶剪切变形理论（FSDT），用 Gegenbauer-Ritz 法和状态空间法求解了不连续边界条件下壳的行波频率。最后，通过将结果与文献和有限元法进行比较，证实了半解析建模方法的正确性。此外，还讨论了不连续边界条件下各种参数对旋转 FGP-GPLRC 阶梯圆柱壳频率的影响。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Archive of Applied Mechanics 物理-力学

CiteScore

4.40

自引率

10.70%

发文量

234

审稿时长

4-8 weeks

期刊介绍： Archive of Applied Mechanics serves as a platform to communicate original research of scholarly value in all branches of theoretical and applied mechanics, i.e., in solid and fluid mechanics, dynamics and vibrations. It focuses on continuum mechanics in general, structural mechanics, biomechanics, micro- and nano-mechanics as well as hydrodynamics. In particular, the following topics are emphasised: thermodynamics of materials, material modeling, multi-physics, mechanical properties of materials, homogenisation, phase transitions, fracture and damage mechanics, vibration, wave propagation experimental mechanics as well as machine learning techniques in the context of applied mechanics.