Influence of Boundary Conditions on the Solution to a Mathematical Model for a Given Wooden Plate

The article examines deformation of wood veneer and internal forces resulting from bending. Wood is modelled as an orthotropic material. A thin circular wooden plate hemispherically supported at its free edge is bent by axial hubbing of the punch with a hemispherical end. The analysis of the models...

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Main Authors: Ferdinand Bodnár, Pavel Beňo, Stanislav Kotšmíd, Jana Luptáková
Format: Article
Language:English
Published: North Carolina State University 2015-12-01
Series:BioResources
Subjects:
Online Access:http://ojs.cnr.ncsu.edu/index.php/BioRes/article/view/BioRes_11_1_1061_Bodnar_Boundary_Conditions_Mathematical_Model
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author Ferdinand Bodnár
Pavel Beňo
Stanislav Kotšmíd
Jana Luptáková
author_facet Ferdinand Bodnár
Pavel Beňo
Stanislav Kotšmíd
Jana Luptáková
author_sort Ferdinand Bodnár
collection DOAJ
description The article examines deformation of wood veneer and internal forces resulting from bending. Wood is modelled as an orthotropic material. A thin circular wooden plate hemispherically supported at its free edge is bent by axial hubbing of the punch with a hemispherical end. The analysis of the models is carried out by the ANSYS software. Geometric boundary conditions are calculated and set by a macro formed by the APDL (ANSYS Parametric Design Language) scenario language. For the reason of comparison the models were solved for a given plate with simplified boundary conditions.
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spelling doaj.art-0b3443ae75714b3eacb67e0b16f35b3f2022-12-22T01:24:12ZengNorth Carolina State UniversityBioResources1930-21261930-21262015-12-011111061107010.15376/biores.11.1.1061-1070Influence of Boundary Conditions on the Solution to a Mathematical Model for a Given Wooden PlateFerdinand Bodnár0Pavel Beňo1Stanislav Kotšmíd2Jana Luptáková3Technical University in Zvolen; SlovakiaTechnical University in Zvolen; SlovakiaTechnical University in Zvolen; SlovakiaTechnical University in Zvolen; SlovakiaThe article examines deformation of wood veneer and internal forces resulting from bending. Wood is modelled as an orthotropic material. A thin circular wooden plate hemispherically supported at its free edge is bent by axial hubbing of the punch with a hemispherical end. The analysis of the models is carried out by the ANSYS software. Geometric boundary conditions are calculated and set by a macro formed by the APDL (ANSYS Parametric Design Language) scenario language. For the reason of comparison the models were solved for a given plate with simplified boundary conditions.http://ojs.cnr.ncsu.edu/index.php/BioRes/article/view/BioRes_11_1_1061_Bodnar_Boundary_Conditions_Mathematical_ModelRitz methodWooden circular plateFinite element methodBoundary conditionsANSYS
spellingShingle Ferdinand Bodnár
Pavel Beňo
Stanislav Kotšmíd
Jana Luptáková
Influence of Boundary Conditions on the Solution to a Mathematical Model for a Given Wooden Plate
BioResources
Ritz method
Wooden circular plate
Finite element method
Boundary conditions
ANSYS
title Influence of Boundary Conditions on the Solution to a Mathematical Model for a Given Wooden Plate
title_full Influence of Boundary Conditions on the Solution to a Mathematical Model for a Given Wooden Plate
title_fullStr Influence of Boundary Conditions on the Solution to a Mathematical Model for a Given Wooden Plate
title_full_unstemmed Influence of Boundary Conditions on the Solution to a Mathematical Model for a Given Wooden Plate
title_short Influence of Boundary Conditions on the Solution to a Mathematical Model for a Given Wooden Plate
title_sort influence of boundary conditions on the solution to a mathematical model for a given wooden plate
topic Ritz method
Wooden circular plate
Finite element method
Boundary conditions
ANSYS
url http://ojs.cnr.ncsu.edu/index.php/BioRes/article/view/BioRes_11_1_1061_Bodnar_Boundary_Conditions_Mathematical_Model
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