{"title":"各向异性金属橡胶中厚圆柱壳振动特性分析","authors":"Yan Bai, He Li","doi":"10.1007/s00419-023-02453-w","DOIUrl":null,"url":null,"abstract":"<div><p>This paper is to analyze the vibration characteristics of a metal rubber medium-thick cylindrical shell (MR-MTCS) influenced by material anisotropy. The parameters of the metal rubber (MR) are determined by the inclined helix-pyramid model (IHPM). The control equations for MR-MTCS are determined by first-order shear deformation theory (FSDT) and Rayleigh–Ritz method. The results show that the anisotropy of MR has a significant effect on the vibration characteristics of MR-MTCS. Among them, the anisotropy of Young's modulus has the most significant effect on the vibration characteristics. In addition, the effect of MR anisotropy on the vibration characteristics of MR-MTCS increases with the increase of axial half-wave number <i>m</i> and decreases with the increase of axial wave number <i>n</i>.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"93 9","pages":"3553 - 3579"},"PeriodicalIF":2.2000,"publicationDate":"2023-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Vibration characteristics analysis of anisotropic metal rubber medium-thick cylindrical shells\",\"authors\":\"Yan Bai, He Li\",\"doi\":\"10.1007/s00419-023-02453-w\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>This paper is to analyze the vibration characteristics of a metal rubber medium-thick cylindrical shell (MR-MTCS) influenced by material anisotropy. The parameters of the metal rubber (MR) are determined by the inclined helix-pyramid model (IHPM). The control equations for MR-MTCS are determined by first-order shear deformation theory (FSDT) and Rayleigh–Ritz method. The results show that the anisotropy of MR has a significant effect on the vibration characteristics of MR-MTCS. Among them, the anisotropy of Young's modulus has the most significant effect on the vibration characteristics. In addition, the effect of MR anisotropy on the vibration characteristics of MR-MTCS increases with the increase of axial half-wave number <i>m</i> and decreases with the increase of axial wave number <i>n</i>.</p></div>\",\"PeriodicalId\":477,\"journal\":{\"name\":\"Archive of Applied Mechanics\",\"volume\":\"93 9\",\"pages\":\"3553 - 3579\"},\"PeriodicalIF\":2.2000,\"publicationDate\":\"2023-07-27\",\"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/s00419-023-02453-w\",\"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/s00419-023-02453-w","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MECHANICS","Score":null,"Total":0}
Vibration characteristics analysis of anisotropic metal rubber medium-thick cylindrical shells
This paper is to analyze the vibration characteristics of a metal rubber medium-thick cylindrical shell (MR-MTCS) influenced by material anisotropy. The parameters of the metal rubber (MR) are determined by the inclined helix-pyramid model (IHPM). The control equations for MR-MTCS are determined by first-order shear deformation theory (FSDT) and Rayleigh–Ritz method. The results show that the anisotropy of MR has a significant effect on the vibration characteristics of MR-MTCS. Among them, the anisotropy of Young's modulus has the most significant effect on the vibration characteristics. In addition, the effect of MR anisotropy on the vibration characteristics of MR-MTCS increases with the increase of axial half-wave number m and decreases with the increase of axial wave number n.
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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