Some consistent finite element formulations of 1-D beam models: a comparative study

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
Author/s:
  • Ortúzar, J.M.
  • Samartín, Avelino
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

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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
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
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