{"title":"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","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":"{\"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}","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}
Semi-analytical modeling and analysis on traveling wave vibration characteristics of spinning FGP-GPLRC stepped cylindrical shells under discontinuous boundary conditions
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.
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.
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