<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

Extension of the FGM Beam Finite Element by Warping Torsion

Slovak University of Technology in Bratislava

Faculty of Electrical Engineering and Information Technology, Department of Applied Mechanics and Mechatronics of IAMT

Institute of Mechanics of Materials and Structures

University of Applied Sciences Wiener Neustadt

Department of Applied and Numerical Mechanics

Strojnícky časopis - Journal of Mechanical Engineering

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Extension of the FGM Beam Finite Element by Warping Torsion"}

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...

Extension of the FGM Beam Finite Element by Warping Torsion

Published Online: Jun 28, 2019

Page range: 57 - 76

DOI: https://doi.org/10.2478/scjme-2019-0017

Keywords
3D-FGM beam finite element, Warping torsion, Elastostatic analysis

© 2019 Murín Justín et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Extension of the FGM Beam Finite Element by Warping Torsion

Published Online: Jun 28, 2019

Page range: 57 - 76

DOI: https://doi.org/10.2478/scjme-2019-0017

Keywords3D-FGM beam finite element, Warping torsion, Elastostatic analysis

© 2019 Murín Justín et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
3D-FGM beam finite element, Warping torsion, Elastostatic analysis