Stability Analysis of Nonlocal Elastic Columns with Initial Imperfection
Joint Authors
Xu, S. P.
Wang, C. M.
Xu, Meirong
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-21
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Investigated herein is the postbuckling behavior of an initially imperfect nonlocal elastic column, which is simply supported at one end and subjected to an axial force at the other movable end.
The governing nonlinear differential equation of the axially loaded nonlocal elastic column experiencing large deflection is first established within the framework of Eringen's nonlocal elasticity theory in order to embrace the size effect.
Its semianalytical solutions by the virtue of homotopy perturbation method, as well as the successive approximation algorithm, are determined in an explicit form, through which the postbuckling equilibrium loads in terms of the end rotation angle and the deformed configuration of the column at this end rotation are predicted.
By comparing the degenerated results with the exact solutions available in the literature, the validity and accuracy of the proposed methods are numerically substantiated.
The size effect, as well as the initial imperfection, on the buckled configuration and the postbuckling equilibrium path is also thoroughly discussed through parametric studies.
American Psychological Association (APA)
Xu, S. P.& Xu, Meirong& Wang, C. M.. 2013. Stability Analysis of Nonlocal Elastic Columns with Initial Imperfection. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-1031814
Modern Language Association (MLA)
Xu, S. P.…[et al.]. Stability Analysis of Nonlocal Elastic Columns with Initial Imperfection. Mathematical Problems in Engineering No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-1031814
American Medical Association (AMA)
Xu, S. P.& Xu, Meirong& Wang, C. M.. Stability Analysis of Nonlocal Elastic Columns with Initial Imperfection. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-1031814
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1031814