文献类型：期刊文献

英文题名：Buckling analysis of Euler-Bernoulli beams using Eringen's two-phase nonlocal model

作者：Zhu, Xiaowu[1];Wang, Yuanbin[2];Dai, Hui-Hui[3,4]

机构：[1]Zhongnan Univ Econ & Law, Sch Stat & Math, Wuhan 430073, Peoples R China;[2]ShaoXing Univ, Dept Math, 900 ChengNan Ave, Shaoxing 312000, Zhejiang, Peoples R China;[3]City Univ Hong Kong, Dept Math, 83 Tat Chee Ave, Kowloon Tong, Hong Kong, Peoples R China;[4]City Univ Hong Kong, Shenzhen Res Inst, Shenzhen, Peoples R China

年份：2017

卷号：116

起止页码：130

外文期刊名：INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE

收录：SCI-EXPANDED(收录号：WOS:000401387900009)、、EI(收录号：20171303512050)、Scopus(收录号：2-s2.0-85016322628)、WOS

基金：Xiaowu Zhu thanks the support from Zhongnan University of Economics and Law (Project No.: 31541411205). Hui-Hui Dai is supported by a strategic grant from City University of Hong Kong (Project No.: 9680152) and a grant from the National Nature Science Foundation of China(ProjectNo.:11572272). Yuanbin Wang is supported by a grant from Natural Science Foundation of China (Project No.: 11472177) and a grant from Shaoxing University (Project No.: 20145002).

语种：英文

外文关键词：Eringen's integral elasticity; Differential equation; Euler-Bernoulli beam; Buckling; Asymptotic analysis

外文摘要：The inconsistency of Eringen's nonlocal differential model, as applied to investigate nanostructures, has recently triggered the study of nonlocal integral models. In this paper we adopt Eringen's two-phase nonlocal integral model to carry out an analytical study on the buckling problem of Euler-Bernoulli beams. By using a reduction method rigorously proved in the previous work, the resulting integro-differential equation for the problem is firstly reduced to a fourth order differential equation with mixed boundary conditions. Exact characteristic equations are then obtained for four types of boundary conditions. Further, after some detailed asymptotic analysis, asymptotic solutions for the critical buckling loads are obtained, which are shown to have a good agreement with the numerical solutions. The analytical solutions show clearly that the nonlocal effect reduces the buckling loads. It is also found that the effect could be first-order or second order depending on the boundary conditions. (C) 2017 Elsevier Ltd. All rights reserved.