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Stability Analysis of Nonuniform Rectangular Beams Using Homotopy Perturbation Method
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-02-27
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
The design of slender beams, that is, beams with large laterally unsupported lengths, is commonly controlled by stability limit states.
Beam buckling, also called “lateral torsional buckling,” is different from column buckling in that a beam not only displaces laterally but also twists about its axis during buckling.
The coupling between twist and lateral displacement makes stability analysis of beams more complex than that of columns.
For this reason, most of the analytical studies in the literature on beam stability are concentrated on simple cases: uniform beams with ideal boundary conditions and simple loadings.
This paper shows that complex beam stability problems, such as lateral torsional buckling of rectangular beams with variable cross-sections, can successfully be solved using homotopy perturbation method (HPM).
American Psychological Association (APA)
Pinarbasi, Seval. 2012. Stability Analysis of Nonuniform Rectangular Beams Using Homotopy Perturbation Method. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-1001403
Modern Language Association (MLA)
Pinarbasi, Seval. Stability Analysis of Nonuniform Rectangular Beams Using Homotopy Perturbation Method. Mathematical Problems in Engineering No. 2012 (2012), pp.1-18.
https://search.emarefa.net/detail/BIM-1001403
American Medical Association (AMA)
Pinarbasi, Seval. Stability Analysis of Nonuniform Rectangular Beams Using Homotopy Perturbation Method. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-1001403
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1001403