{"title":"Size-dependent stability of embedded beams with variable cross section","authors":"Ömer Civalek , Bekir Akgöz","doi":"10.1016/j.ijengsci.2024.104210","DOIUrl":null,"url":null,"abstract":"<div><div>This paper deals with the investigation of the elastic stability of double tapered microbeams embedded in Winkler elastic foundation. It is considered that the microbeam is embedded in a continuous elastic constraint and its cross-section changes linearly along the longitudinal direction. Nonlocal couple stress theory and Bernoulli-Euler beam theory are used to obtain the size-dependent constitutive equation. Rayleigh-Ritz method with algebraic polynomials is utilized to find the minimum eigenvalue as the critical buckling load for simply supported tapered microbeams. The effects of taper ratio, taper type, nonlocal and length scale parameters, and foundation parameter are comprehensively examined.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"208 ","pages":"Article 104210"},"PeriodicalIF":5.7000,"publicationDate":"2024-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Engineering Science","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0020722524001940","RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}
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Abstract
This paper deals with the investigation of the elastic stability of double tapered microbeams embedded in Winkler elastic foundation. It is considered that the microbeam is embedded in a continuous elastic constraint and its cross-section changes linearly along the longitudinal direction. Nonlocal couple stress theory and Bernoulli-Euler beam theory are used to obtain the size-dependent constitutive equation. Rayleigh-Ritz method with algebraic polynomials is utilized to find the minimum eigenvalue as the critical buckling load for simply supported tapered microbeams. The effects of taper ratio, taper type, nonlocal and length scale parameters, and foundation parameter are comprehensively examined.
期刊介绍：
The International Journal of Engineering Science is not limited to a specific aspect of science and engineering but is instead devoted to a wide range of subfields in the engineering sciences. While it encourages a broad spectrum of contribution in the engineering sciences, its core interest lies in issues concerning material modeling and response. Articles of interdisciplinary nature are particularly welcome.
The primary goal of the new editors is to maintain high quality of publications. There will be a commitment to expediting the time taken for the publication of the papers. The articles that are sent for reviews will have names of the authors deleted with a view towards enhancing the objectivity and fairness of the review process.
Articles that are devoted to the purely mathematical aspects without a discussion of the physical implications of the results or the consideration of specific examples are discouraged. Articles concerning material science should not be limited merely to a description and recording of observations but should contain theoretical or quantitative discussion of the results.
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