{"title":"Deformation of a cantilever curved beam with variable cross section","authors":"István Escedi, A. Baksa","doi":"10.32973/jcam.2021.002","DOIUrl":null,"url":null,"abstract":"This paper deals with the determination of the displacements and stresses in a curved cantilever beam. The considered curved beam has circular centerline and the thickness of its cross section depends on the circumferential coordinate. The kinematics of Euler-Bernoulli beam theory are used. The curved elastic beam is fixed at one end and on the other end is subjected to concentrated moment and force; three different loading cases are considered. The paper gives analytical solutions for radial and circumferential displacements and cross-sectional rotation and circumferential stresses. The presented examples can be used as benchmark for the other types of solutions as given in this paper.","PeriodicalId":47168,"journal":{"name":"Journal of Applied and Computational Mechanics","volume":"1 1","pages":""},"PeriodicalIF":2.8000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied and Computational Mechanics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.32973/jcam.2021.002","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 2
Abstract
This paper deals with the determination of the displacements and stresses in a curved cantilever beam. The considered curved beam has circular centerline and the thickness of its cross section depends on the circumferential coordinate. The kinematics of Euler-Bernoulli beam theory are used. The curved elastic beam is fixed at one end and on the other end is subjected to concentrated moment and force; three different loading cases are considered. The paper gives analytical solutions for radial and circumferential displacements and cross-sectional rotation and circumferential stresses. The presented examples can be used as benchmark for the other types of solutions as given in this paper.
期刊介绍：
The Journal of Applied and Computational Mechanics aims to provide a medium for dissemination of innovative and consequential papers on mathematical and computational methods in theoretical as well as applied mechanics. Manuscripts submitted to the journal undergo a blind peer reviewing procedure conducted by the editorial board. The Journal of Applied and Computational Mechanics devoted to the all fields of solid and fluid mechanics. The journal also welcomes papers that are related to the recent technological advances such as biomechanics, electro-mechanics, advanced materials and micor/nano-mechanics. The scope of the journal includes, but is not limited to, the following topic areas: -Theoretical and experimental mechanics- Dynamic systems & control- Nonlinear dynamics and chaos- Boundary layer theory- Turbulence and hydrodynamic stability- Multiphase flows- Heat and mass transfer- Micro/Nano-mechanics- Structural optimization- Smart materials and applications- Composite materials- Hydro- and aerodynamics- Fluid-structure interaction- Gas dynamics
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