{"title":"In-Plane Free Vibration of Laterally Symmetric Functionally Graded Material Arches","authors":"Gweon Sik Kim, Joon Kyu Lee, Byoung Koo Lee","doi":"10.1007/s11029-024-10203-4","DOIUrl":null,"url":null,"abstract":"<p>This study aims to analyze the in-plane free vibrations of arches comprising the laterally symmetric functionally graded materials. Emphasis is placed on the circular arch whose material properties vary laterally symmetrically about the centroidal axis by a power-law function. The differential equations governing the mode shape of the arch were derived under the boundary conditions and were numerically solved to calculate the natural frequencies using the Runge–Kutta and Regula–Falsi methods. Calculation results of this study for natural frequencies compare well with those of the finite element method. The effects of various arch parameters on natural frequencies are highlighted and discussed in detail.</p>","PeriodicalId":18308,"journal":{"name":"Mechanics of Composite Materials","volume":"7 1","pages":""},"PeriodicalIF":1.5000,"publicationDate":"2024-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mechanics of Composite Materials","FirstCategoryId":"88","ListUrlMain":"https://doi.org/10.1007/s11029-024-10203-4","RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATERIALS SCIENCE, COMPOSITES","Score":null,"Total":0}
引用次数: 0
Abstract
This study aims to analyze the in-plane free vibrations of arches comprising the laterally symmetric functionally graded materials. Emphasis is placed on the circular arch whose material properties vary laterally symmetrically about the centroidal axis by a power-law function. The differential equations governing the mode shape of the arch were derived under the boundary conditions and were numerically solved to calculate the natural frequencies using the Runge–Kutta and Regula–Falsi methods. Calculation results of this study for natural frequencies compare well with those of the finite element method. The effects of various arch parameters on natural frequencies are highlighted and discussed in detail.
期刊介绍：
Mechanics of Composite Materials is a peer-reviewed international journal that encourages publication of original experimental and theoretical research on the mechanical properties of composite materials and their constituents including, but not limited to:
damage, failure, fatigue, and long-term strength;
methods of optimum design of materials and structures;
prediction of long-term properties and aging problems;
nondestructive testing;
mechanical aspects of technology;
mechanics of nanocomposites;
mechanics of biocomposites;
composites in aerospace and wind-power engineering;
composites in civil engineering and infrastructure
and other composites applications.
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