Postbuckling behavior of variable-arc-length elastica connected with a rotational spring joint including the effect of configurational force
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Publication Details
Author list: Phungpaingam B., Chucheepsakul S.
Publisher: Springer Netherlands
Publication year: 2018
Volume number: 53
Issue number: 10
Start page: 2619
End page: 2636
Number of pages: 18
ISSN: 0025-6455
eISSN: 0025-6455
Languages: English-Great Britain (EN-GB)
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Abstract
This paper aims to study the behavior of a variable-arc-length (VAL) elastica subjected to the end loading, where a rotational spring joint is placed within the span length of the elastica. One end of the elastica is rested on the pinned support while the other end is placed into the sleeve support. The length of the elastica can be fed into the system through sleeve support by the end thrust where the effect of configurational force has been considered. A rotational spring joint is located within the span length of the elastica. From the equilibrium equations, moment–curvature expression, geometric relations, and boundary conditions, the closed-form solution in terms of elliptic integral of the first and second kinds can be demonstrated. The results obtained from elliptic integral method are validated with those from the shooting method and they are in excellent agreement. In order to interpret the behavior of the elastica, load–deflection curves and equilibrium shapes are established. Interesting features of the results are demonstrated. Particularly, when the stiffness of the spring joint becomes zero, the secondary buckling and the multiple equilibrium shapes can be captured in which the stable equilibrium shapes can be evaluated by using the vibration analysis. For a low value of the stiffness of the spring joint, the elastica has a possibility to exhibit the hardening behavior. When the stiffness of the spring joint becomes large, the elastica shows the softening behavior and its shape is identical to a single portion of VAL elastica. © 2018, Springer Science+Business Media B.V., part of Springer Nature.
Keywords
Configurational force, Elliptic integral method, Secondary buckling, Vibration analysis
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