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Effect of Material Nonlinearity on Large Deflection of Variable-Arc-Length Beams Subjected to Uniform Self-Weight
Joint Authors
Athisakul, Chainarong
Phungpaingam, Boonchai
Juntarakong, Gissanachai
Chucheepsakul, Somchai
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-01-26
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This paper presents a large deflection of variable-arc-length beams, which are made from nonlinear elastic materials, subjected to its uniform self-weight.
The stress-strain relation of materials obeys the Ludwick constitutive law.
The governing equations of this problem, which are the nonlinear differential equations, are derived by considering the equilibrium of a differential beam element and geometric relations of a beam segment.
The model formulation presented herein can be applied to several types of nonlinear elastica problems.
With presence of geometric and material nonlinearities, the system of nonlinear differential equations becomes complicated.
Consequently, the numerical method plays an important role in finding solutions of the presented problem.
In this study, the shooting optimization technique is employed to compute the numerical solutions.
From the results, it is found that there is a critical self-weight of the beam for each value of a material constant n.
Two possible equilibrium configurations (i.e., stable and unstable configurations) can be found when the uniform self-weight is less than its critical value.
The relationship between the material constant n and the critical self-weight of the beam is also presented.
American Psychological Association (APA)
Athisakul, Chainarong& Phungpaingam, Boonchai& Juntarakong, Gissanachai& Chucheepsakul, Somchai. 2012. Effect of Material Nonlinearity on Large Deflection of Variable-Arc-Length Beams Subjected to Uniform Self-Weight. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-9.
https://search.emarefa.net/detail/BIM-1001521
Modern Language Association (MLA)
Athisakul, Chainarong…[et al.]. Effect of Material Nonlinearity on Large Deflection of Variable-Arc-Length Beams Subjected to Uniform Self-Weight. Mathematical Problems in Engineering No. 2012 (2012), pp.1-9.
https://search.emarefa.net/detail/BIM-1001521
American Medical Association (AMA)
Athisakul, Chainarong& Phungpaingam, Boonchai& Juntarakong, Gissanachai& Chucheepsakul, Somchai. Effect of Material Nonlinearity on Large Deflection of Variable-Arc-Length Beams Subjected to Uniform Self-Weight. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-9.
https://search.emarefa.net/detail/BIM-1001521
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1001521