Post-buckling of a cantilever column: a more accurate linear analysis of a classical nonlinear problem
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Title: | Post-buckling of a cantilever column: a more accurate linear analysis of a classical nonlinear problem |
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Authors: | Beléndez, Augusto | Hernández Prados, Antonio | Gallego, Sergi | Ortuño, Manuel | Neipp, Cristian | Beléndez, Tarsicio |
Research Group/s: | Holografía y Procesado Óptico | GITE - Física, Óptica y Telecomunicaciones |
Center, Department or Service: | Universidad de Alicante. Departamento de Física, Ingeniería de Sistemas y Teoría de la Señal |
Keywords: | Cantilever column | Post-buckling | Approximate solutions | Euler load |
Knowledge Area: | Física Aplicada | Mecánica de Medios Continuos y Teoría de Estructuras |
Date Created: | 2007 |
Issue Date: | Oct-2007 |
Publisher: | Manchester University Press |
Citation: | BELÉNDEZ VÁZQUEZ, Augusto, et al. "Post-buckling of a cantilever column: a more accurate linear analysis of a classical nonlinear problem". International Journal of Mechanical Engineering Education. Vol. 35, Issue 4 (Oct. 2007). ISSN 0306-4190, pp. 293-304 |
Abstract: | A more accurate analytical approximate expression for the slope at any point of the elastic curve of a slender cantilever column is obtained by using a heuristic but pedagogical derivation. This derivation is based on the linearization of the nonlinear differential equation that governs the post-buckling of the cantilever column. The expression proposed depends on two unknown parameters, which are obtained by comparing, term by term, the power series expansions of the approximate and exact expressions for the total length of the column. The results obtained with this new approximate expression are compared with the exact ones and with two approximations previously published in the literature. The numerical results show that the two previous approximations are not nearly as accurate as the new expression presented in this paper. |
Sponsor: | This work was supported by grant ACOMP07/020 from the ‘Generalitat Valenciana’ of Spain. |
URI: | http://hdl.handle.net/10045/9924 |
ISSN: | 0306-4190 |
Language: | eng |
Type: | info:eu-repo/semantics/article |
Peer Review: | si |
Appears in Collections: | INV - GHPO - Artículos de Revistas GITE - FOT - Artículos de Revistas |
Files in This Item:
File | Description | Size | Format | |
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IJMEE_v35_n4_p293_2007.pdf | Versión final (acceso restringido) | 105,6 kB | Adobe PDF | Open Request a copy |
IJMEE_v35_n4_p293_2007pre.pdf | Versión revisada (acceso libre) | 1,32 MB | Adobe PDF | Open Preview |
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