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Some consistent finite element formulations of 1-D beam models: a comparative study
Citation
Ortúzar, J.M. and Samartín, Avelino (1998). Some consistent finite element formulations of 1-D beam models: a comparative study. "Advances in Engineering Software", v. 29 (n. 7–9); pp. 667-678. ISSN 0965-9978. https://doi.org/10.1016/S0965-9978(98)00032-5.
Description
| Title: | Some consistent finite element formulations of 1-D beam models: a comparative study |
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| Author/s: |
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| Item Type: | Article |
| Título de Revista/Publicación: | Advances in Engineering Software |
| Date: | August 1998 |
| ISSN: | 0965-9978 |
| Volume: | 29 |
| Subjects: | |
| Freetext Keywords: | Finite element formulation; differential equations; polynomial functions |
| Faculty: | E.T.S.I. Caminos, Canales y Puertos (UPM) |
| Department: | Mecánica de Medios Continuos y Teoría de Estructuras |
| Creative Commons Licenses: | Recognition - No derivative works - Non commercial |
Abstract
A consistent Finite Element formulation was developed for four classical 1-D beam models. This formulation is based upon the solution of the homogeneous differential equation (or equations) associated with each model. Results such as the shape functions, stiffness matrices and consistent force vectors for the constant section beam were found. Some of these results were compared with the corresponding ones obtained by the standard Finite Element Method (i.e. using polynomial expansions for the field variables). Some of the difficulties reported in the literature concerning some of these models may be avoided by this technique and some numerical sensitivity analysis on this subject are presented.
More information
| Item ID: | 35046 |
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| DC Identifier: | http://oa.upm.es/35046/ |
| OAI Identifier: | oai:oa.upm.es:35046 |
| DOI: | 10.1016/S0965-9978(98)00032-5 |
| Official URL: | http://www.sciencedirect.com/science/article/pii/S0965997898000325 |
| Deposited by: | Biblioteca ETSI Caminos |
| Deposited on: | 04 May 2015 06:49 |
| Last Modified: | 04 May 2015 06:49 |
