{"title":"基于高阶剪切法向变形理论的石墨烯纳米片增强多层复合材料智能圆柱板振动分析","authors":"Shayan Mannani, Mohammad Arefi, Shadman Mannani","doi":"10.1007/s00707-025-04329-2","DOIUrl":null,"url":null,"abstract":"<div><p>This paper studies vibration analysis of a sandwich cylindrical panel composed of graphene nanoplatelets reinforced core integrated with piezoelectric layers. The governing equations are derived using the Hamilton’s principle based on the shear and normal deformation theory. The effective material properties are estimated through Mori–Tanaka’s micromechanical model and rule of mixture. The piezoelectric coupling effect is applied using the Maxwell’s electrostatic equation. The wave propagation method is used for solution of the governing equations. A verification test is applied to approve our formulation and solution procedure. The results are presented to show impact of circumferential and axial wavenumbers, elastic foundation parameters, and geometric characteristics of the sandwich panel on the natural frequency responses. This model can be used in the design of smart multi-layer composite panels for use in energy harvesting, dynamic stability, vibration control, and structural health monitoring.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 6","pages":"3359 - 3384"},"PeriodicalIF":2.9000,"publicationDate":"2025-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Vibration analysis of a smart multi-layer composite cylindrical panel reinforced with graphene nanoplatelets based on higher-order shear and normal deformation theory\",\"authors\":\"Shayan Mannani, Mohammad Arefi, Shadman Mannani\",\"doi\":\"10.1007/s00707-025-04329-2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>This paper studies vibration analysis of a sandwich cylindrical panel composed of graphene nanoplatelets reinforced core integrated with piezoelectric layers. The governing equations are derived using the Hamilton’s principle based on the shear and normal deformation theory. The effective material properties are estimated through Mori–Tanaka’s micromechanical model and rule of mixture. The piezoelectric coupling effect is applied using the Maxwell’s electrostatic equation. The wave propagation method is used for solution of the governing equations. A verification test is applied to approve our formulation and solution procedure. The results are presented to show impact of circumferential and axial wavenumbers, elastic foundation parameters, and geometric characteristics of the sandwich panel on the natural frequency responses. This model can be used in the design of smart multi-layer composite panels for use in energy harvesting, dynamic stability, vibration control, and structural health monitoring.</p></div>\",\"PeriodicalId\":456,\"journal\":{\"name\":\"Acta Mechanica\",\"volume\":\"236 6\",\"pages\":\"3359 - 3384\"},\"PeriodicalIF\":2.9000,\"publicationDate\":\"2025-04-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Acta Mechanica\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s00707-025-04329-2\",\"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":"Acta Mechanica","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s00707-025-04329-2","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 analysis of a smart multi-layer composite cylindrical panel reinforced with graphene nanoplatelets based on higher-order shear and normal deformation theory
This paper studies vibration analysis of a sandwich cylindrical panel composed of graphene nanoplatelets reinforced core integrated with piezoelectric layers. The governing equations are derived using the Hamilton’s principle based on the shear and normal deformation theory. The effective material properties are estimated through Mori–Tanaka’s micromechanical model and rule of mixture. The piezoelectric coupling effect is applied using the Maxwell’s electrostatic equation. The wave propagation method is used for solution of the governing equations. A verification test is applied to approve our formulation and solution procedure. The results are presented to show impact of circumferential and axial wavenumbers, elastic foundation parameters, and geometric characteristics of the sandwich panel on the natural frequency responses. This model can be used in the design of smart multi-layer composite panels for use in energy harvesting, dynamic stability, vibration control, and structural health monitoring.
期刊介绍：
Since 1965, the international journal Acta Mechanica has been among the leading journals in the field of theoretical and applied mechanics. In addition to the classical fields such as elasticity, plasticity, vibrations, rigid body dynamics, hydrodynamics, and gasdynamics, it also gives special attention to recently developed areas such as non-Newtonian fluid dynamics, micro/nano mechanics, smart materials and structures, and issues at the interface of mechanics and materials. The journal further publishes papers in such related fields as rheology, thermodynamics, and electromagnetic interactions with fluids and solids. In addition, articles in applied mathematics dealing with significant mechanics problems are also welcome.
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