Size-dependent stability of embedded beams with variable cross section

IF 5.7 1区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

International Journal of Engineering Science Pub Date : 2024-12-18 DOI:10.1016/j.ijengsci.2024.104210

Ömer Civalek , Bekir Akgöz

引用次数: 0

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.

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本文研究了双锥形微梁在温克勒弹性地基中的弹性稳定性。认为微梁嵌入在连续弹性约束中，其截面沿纵向呈线性变化。采用非局部耦合应力理论和伯努利-欧拉梁理论得到了与尺寸相关的本构方程。采用代数多项式的瑞利-里兹法求出简支锥形微梁的最小特征值作为临界屈曲载荷。综合考察了锥度比、锥度类型、非局部和长度尺度参数以及基础参数等因素的影响。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Engineering Science 工程技术-工程：综合

CiteScore

11.80

自引率

16.70%

发文量

审稿时长

45 days

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.