Post-buckling analysis of slender elastic rods subjected to terminal forces |
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Authors: | MA Vaz DFC Silva |
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Institution: | Laboratory for Subsea Technology, Ocean Engineering Department, Federal University of Rio de Janeiro, P.O. Box 68508, Rio de Janeiro, RJ 21945-970, Brazil |
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Abstract: | This paper presents formulation and solutions for the elastica of slender rods subjected to axial terminal forces and boundary conditions assumed hinged and elastically restrained with a rotational spring. The set of five first-order non-linear ordinary differential equations with boundary conditions specified at both ends constitutes a complex two-point boundary value problem. Solutions for buckling, initial post-buckling (perturbation), large loads (asymptotic) and numerical integration are developed. Results are presented in non-dimensional graphs for a range of rotational spring stiffness, tuning the analysis from double-hinged to hinged-built-in rods. |
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Keywords: | Elastica Post-buckling Slender rods |
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