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Extension of the FGM Beam Finite Element by Warping Torsion

Authors :
Justín Murín
Juraj Hrabovský
Mehdi Aminbaghai
Vladimír Kutiš
Juraj Paulech
Stephan Kugler
Source :
Journal of Mechanical Engineering, Vol 69, Iss 2, Pp 57-76 (2019)
Publication Year :
2019
Publisher :
Sciendo, 2019.

Abstract

In the contribution, our 3D FGM Timoshenko beam finite element with 12x12 stiffness and mass matrices for doubly symmetric open and closed cross-section [1] is extended by warping torsion effect (non-uniform torsion) to 14x14 finite element matrices. A longitudinal continuous variation of effective material properties is considered by the finite element equations derivation, which can be obtained by homogenization of the spatial varying material properties in real FGM beam. Results of numerical elastostatic non-uniform torsional analysis of the FGM cantilever beam of I-cross-section are presented and the accuracy and effectiveness of the new FGM beam finite element is discussed and evaluated.

Details

Language :
English
ISSN :
24505471
Volume :
69
Issue :
2
Database :
Directory of Open Access Journals
Journal :
Journal of Mechanical Engineering
Publication Type :
Academic Journal
Accession number :
edsdoj.3a853f00e634405b892b0b2d4a78d261
Document Type :
article
Full Text :
https://doi.org/10.2478/scjme-2019-0017